This will include a detailed diagram and the algebraic work leading up to the results. Linear to Angular Quantities click below for a flash animation. Work in a small group to complete each of the following activities. Quadcopter Dynamics, Simulation, and Control Introduction A helicopter is a flying vehicle which uses rapidly spinning rotors to push air downwards, thus creating a thrust force keeping the helicopter aloft. Stroboscope and Fan. This chapter uses simple and fun videos that are about. AMR -Kinematics 36 rrlab. Okay you've all experienced this or maybe you have, if you've ever played baseball and you've gotten the bat and let's say the only bat they have is this big heavy bat and the big guy in the team can pick that up and he can really swing that. 4 Bill Crawford: WWW. cmbl provided to you in advance of lab. SP211 Lab: Eight Rotational Inertia Version: October 30, 2014 Page 1 of 5 PHYSICS LAB 8 SP211 Rotational Inertia (Rotational Kinematics and Dynamics)I. 4m/s2) 3) Optimus Prime coasts up a hill initially at 11. Then s, v, and a are related to θ, ω, and α by α ω θ a r v r s r = = = (2). Last Update: 04/27/2020. Learn exactly what happened in this chapter, scene, or section of Rotational Kinetics and what it means. [email protected] The Power required to dissipate the wheel’s initial energy is calculated using. Rotational Kinematics And Dynamics. Differentiate between valid and invalid data. Examples Pendulum at some instant (angle θ, speed v) - Using top of string as origin: - Calculate torque and angular momentum - Plug in to T net = dL/dt Repeat, using mass's lowest point as origin Wooden board falls off table - Mass m, starting from rest - Using edge of table as origin: - Calculate T net and a right edge of board at t=0 - (Assume board stays rigid → v. When a torque is applied to said object, the object will accelerate, going. Here, the moment of inertia Iplays the same role as the object’s mass min F = ma. This lab is designed to help students grasp an understanding of basic rotational kinematics such as angular displacement, angular velocity, and angular acceleration. To determine this equation, we recall a familiar kinematic equation for translational, or straight-line, motion:. 2 Lab Hours. Rigid body dynamics - II principle of rotational dynamics in generalized form. • To relate rotational inertia to angular motion. Read carefully Sections 9. As a field of study it is very important for analyzing systems consisting of single bodies or multiple bodies interacting with each other. The Power required to dissipate the wheel’s initial energy is calculated using. ELECTROMAGNETISM (such as. Angular velocity can be considered to be a vector quantity, with direction along the axis of rotation in the right-hand rule sense. SI units & Physics constants. Electricity - Coulomb's Law & DC Circuits Objectives & Homework - Electricity In-Class Practice. For the length of the arc subtending angle " at the origin and "r" is the radius of the circle containing the position of the particle, we have \(\mathrm{s=rθ}\). The following questions will help you figure out the prediction , and find a way to test your friend’s idea in the lab. In 1968 it was discovered that a pulsar—a rapidly rotating neutron star that. Rotational Dynamics Angular velocity and angular acceleration for fixed axis rotation; tangential velocity and tangential acceleration for fixed axis rotation; Newton's second law applied to rotating element; torque about a fixed axis; definition of moment of inertia; rotational work and rotational kinetic energy; rotational work-kinetic energy theorem; definition of rotational power. Credit will not be given for both this course and PHYS 211. Center of Mass. 77 m, find the speed of the disk and the spherical shell when they reach the bottom of the ramp. The center of mass is the point in an object from which there is an equal amount of mass in any two opposite directions. A 900-kg car traveling at 20 m/s collides with a tree and goes 1. Design experiments to determine the acceleration of a dynamics cart in various scenarios. Introduction In this lab, we used the physics principles of dynamics and rotational kinematics to calculate the acceleration due to gravity near the earth's surface. Torque is a measure of rotational force and defined as force times the lever arm, Τ = FL. Rotational Kinematics 20. Introduction NOTE: Please take a stopwatch (or a wristwatch with a built‐in stopwatch) to lab if one is available to you; iPhone works too. These devices are parallel manipulators, multi-fingered hands, reconfigurable mechanisms, or cooperating robots, to name a few, but they appear in other domains too, as mechanistic models of. Unit 6 - Rotational Motion 6 Rotational Kinematics 1. It is a little difficult and has generally more than one or even infinite solutions. : An object at rest tends to remain at rest and an object in rotation tends to continue rotating with constant angular velocity unless compelled by a. Introduction Abstract This section contains a brief introduction to rotational dynamics using analogies between motion in a straight line and rotation. the kinematics of the joint can be measured. Lab: Graphical Analysis of Motion. Review of the Rotational Dynamics topics covered in the AP Physics 1 curriculum. Direct kinematics Joint coordinates to end effector coordinates Sensors are located at the joints. If we do not change the size or shape of the object but vary only. Absolute and relative motion. After all the movies for Lab 5 have been recorded for all three experiments, remove the memory card from the camera and insert the card into the computer. Objective: During this lab we will study what rotational Inertia is and how different shapes of masses and different masses behave inertially when compared to each other. If the rotating object speeds up or slows down, we use angular acceleration to indicate how fast the angular velocity. Kinematics as a field of study is often ref. We either know the velocity or acceleration, or the dependence of velocity on time or acceleration on time, but we need to find something else about this motion. Electricity - Coulomb's Law & DC Circuits Objectives & Homework - Electricity In-Class Practice. 028Nm and b. 4 Review Questions p. 5: Rotational Kinetic Energy. Define angular displacement, angular velocity, and angular acceleration. 5 Angular Momentum and Its Conservation; 10. 3/22/18 Torque Lab. Restore Rotary Aparatus to position indicated in Figure 9. 3 and Example 9-8. 01x - Lect 19 - Rotating Objects, Moment of Inertia, Rotational KE, Neutron Stars - Duration: 41:00. Here, the moment of inertia Iplays the same role as the object’s mass min F = ma. Hwk: Worksheet 3 and Rotational Motion Lab: 7 Students will solve rotational motion problems. Here (all units see here):. Some objects do both at the same time! The time it takes for an. , the minimum radius at which a moon can orbit a planet without being destroyed by tidal forces), the forced precession and nutation of the Earth’s axis of rotation, and the forced perihelion preces-. Advanced Physics with Vernier - Mechanics is the first of a two-volume set of experiments for the more in-depth introductory physics course, such as college physics, AP Physics, or IB Physics. With 2D dynamics, we can explain the orbit of the planets around the Sun, the grandfather clock, and the perfect angle to throw a snowball to nail your nemesis as they run away from you. Two equally valid paths to the answer make this a great inquiry lab, and you can differentiate easily by having advanced students search for BOTH paths to the answer, verifying both paths give you. As we saw in UNIT 14, to describe rotational motion it is more convenient to use the rotation angle, and angular velocity. Design experiments to determine the acceleration of a dynamics cart in various scenarios. Understand moment of inertia. 112GP In the previous problem, suppose the rod has a mass of 2. « Previous | Next » Week 10 Introduction. Question: Lab 9-ROTATIONAL DYNAMICS Purpose: The Purpose Of This Experiment Is To Experimentally Find The Rotational Inertia Of A Ring And A Disk And Verify That These Values Correspond To The Calculated Theoretical Values. 13) 24 R - Thanksgiving Day, no classes. The equations you will use are straightforward extensions of the equations you already know for translational rotational motion what the mass of an object is to. The Rotational Motion Interactive allows a learner to explore the relationship between the angular velocity and the linear velocity for a couple of bugs on a rotating disk. Help would be. The AB Dynamics range of laboratory test systems builds on more than 20 years of continuous development. Having established rotational kinematics, it seems logical to extend our study of rotational motion to dynamics. Lab: Static Equilibrium Module 9 - Rotational Dynamics. The moment ofinertia about the center of the stick is Io. 9 - 24 Introduction Units and Measurements Scalars and Vectors Kinematics Rotational Dynamics Rigid Bodies Moment of Inertia and Torque Rotational variables and Newton's Your lab report will be graded on your participation in the actual experiment and the written report. The kinematics of a badminton racket during a smash stroke was observed in this study with the purpose of investigating stroke dynamics and racket behaviour. Purpose: To determine the moment of inertia for objects both individually and together by observing components of rotational motion. 10/11; 5: 04/07 Oct (Fri/Mon) In-Class Questions; Challenge Problems; 6: 08/09 Oct (Tue/Wed) Test: Kinematics and Dynamics. Determine the coefficient of static friction between the turntable surface and a penny. Date Topic Reading Notes; Jan: 09: Mon: Introduction & Course Policies: Website: 11: Wed: Motion Diagrams: 1. • Convert the rotational accelerations to translational accelerations. Kinematics is the study of the motion of objects. Description. Thus far in the chapter, we have extensively addressed kinematics and dynamics for rotating rigid bodies around a fixed axis. Referring to Figure 1, we denote a material point of by, say, , and the vector locates the material point , relative to a fixed origin , at time. Each person should write out a complete solution. Rotational Kinematics The formulation of spacecraft attitude dynamics and control problems involves considerations of kinematics. PDF Rotational Kinematics Quiz V1 Name PSI AP Physics I Rotational Kinematics Quiz V1 Name_____ PSI AP Physics I 1. Rotational Kinematics And Dynamics. The High Precision Air Bearing Table enables tests and experiments in dynamics and control of propulsion systems for small spacecraft, formation flight, contact dynamics, and capture dynamics. M-3/3/2003 - Rotational Kinematics T -3/4/2003 - Rotational Dynamics W 3/5/2003- Rolling w/o slipping, Conservation of Mechanical Energy Th - 3/6/2003 Lab 5 -Rotational Inertia F - 3/7/2003 - recitation Week 9: Angular Momentum, Static Equilibrium. 0 s, how large a force must the tow rope support? Refer to the following information for the next question. Determine the coefficient of static friction between the turntable surface and a penny. Differentiate between valid and invalid data. Linear dynamics pertains to objects moving in a line and involves such quantities as force, mass/inertia, displacement (in units of distance), velocity (distance per unit time), acceleration (distance per unit of time squared) and momentum (mass times unit of velocity). 77 m, find the speed of the disk and the spherical shell when they reach the bottom of the ramp. 1 summarizes rotation dynamics. 6) I'm guessing same as #5. Lab 11: Rotational Dynamics Objectives: • To understand the relationship between net torque and angular acceleration. Centripetal Force describes the forces on an object that is moving in a circular path. (Note: The acceleration would be a = gsinθ if the marble only slid down the ramp and did not roll. The Excel spreadsheet requires several calculations to arrive at values for the angular acceleration and torque that are used to calculate the moment of inertia. 6) I'm guessing same as #5. Given this definition, the story behind everything in the universe, from rocks falling to stars shining, is one of physics. 1 - Rotational Kinematics FA8. Solution videos for a extensive set of examples related to these topics can. 4 Bill Crawford: WWW. (ii) Distribution of mass about the axis of rotation. Description. Vector angular velocity: For an object rotating about an axis, every point on the object has the same angular velocity. To determine this equation, we recall a familiar kinematic equation for translational, or straight-line, motion:. Kinematics, branch of physics and a subdivision of classical mechanics concerned with the geometrically possible motion of a body or system of bodies without consideration of the forces involved (i. Scroll down to see multiple choice practice problems in Rotational Motion, Torque, Rolling Objects, Momemt of Inertia, and Angular Momentum. However, it can also be interpreted as: The principle of moments states that for a body to be in rotational equilibrium, the sum of clockwise torques about any point (which acts as a pivot) must equal to the sum of anti-clockwise torques about the same point. Rotational Motion 8. The AB Dynamics range of laboratory test systems builds on more than 20 years of continuous development. To learn more about the video capture and analysis features of Logger Pro , read the Overview of Video Features in Logger Pro FAQ. To explore the use of least-squares fitting procedures in analyzing a dynamical system. Coriolis theorem. time - Acceleration: rate of change of velocity w. 4: Dynamics Rotational inertia is the tendency of a rotating object to remain rotating unless a torque is applied to it. If β is the angle between and ,. Kinematics of Fluid Flow - 3; 9. Express your answers in terms of F, L, and M. Introduction In this lab, we used the physics principles of dynamics and rotational kinematics to calculate the acceleration due to gravity near the earth’s surface. Mathematically the rotational inertia is defined as the required torque/(change in angular velocity), much the same way as mass = required force/acceleration for linear motion. Pull in front legs (arms) and rotate them 60o clockwise. Translational accuracy for the skull/sternum JCS was 0. The first method. Inverse dynamics Lecture. Performed Part 2 of Rotational Dynamics. Yi Zhang with Susan Finger Stephannie Behrens Table of Contents. Here, the moment of inertia Iplays the same role as the object’s mass min F = ma. In the figure below, the two cylinders have the same masses. Use the report format, and timing you are familiar with from HChem. This lab helps to provide a conceptual understanding of the physics properties of an object that define the object’s rotational inertia. Equipment List:. 9 m up the slope after 2. However, if symbolic quantities are. Use LoggerPro and the Rotary Motion Sensor to measure rotational kinematics data for the two scenarios, with the. Rotation of a rigid body about a fixed axis ; A rigid body is not deformable that is, the separations between particles remain constant. Kinematics of Fluid Flow - 2; 8. The purpose of this lab was to measure the transational acceleration of the pulley, and to use the measured acceleration to analyze the validity of the assumption that the pulley exhibits rotational motion consistent with that of a disk. We must include rotational kinetic energy in order to apply the principle of conservation of energy to systems involving. All Rights Reserved. Objects with varying rotational inertia (solid sphere, spherical shell, solid cylinder, cylindrical shell) can be chosen, and the mass and radius of the object can be adjusted. Compare the linear and circular motion of different points on a rotating tire. 056Nm Yuriy Zavorotniy • 4 years, 1 month ago • login to reply Thank you Tom. Rotational Motion §1 Purpose The main purpose of this laboratory is to familiarize you with the use of the Torsional Har-monic Oscillator (THO) that will be the subject of the final lab of the course on damped and driven harmonic oscillators. The result is consistent with the third estimator, where I use the angle of the mean motion of stars, which should follow. Okay you've all experienced this or maybe you have, if you've ever played baseball and you've gotten the bat and let's say the only bat they have is this big heavy bat and the big guy in the team can pick that up and he can really swing that. Learn here about momentum, its conservation. A fixed, 0. The ultimate aim of the project was to obtain displacement. Straighten up your lab station. 3 rad/s for a period of 8. #N#Home » Courses » Physics » Classical Mechanics » Week 10: Rotational Motion. Lab 9 Rotational Dynamics: Name: Lab Partner: EXIT TICKET: Quit Capstone and any other software you have been using. Prerequisite: MATH 101. 0 m is initially spinning with an angular speed of 8. is linear momentum vector. We found that the block accelerates down the slope with uniform acceleration , where is the angle subtended by the incline with the horizontal. Bank angle φ (in radians. Objects with varying rotational inertia (solid sphere, spherical shell, solid cylinder, cylindrical shell) can be chosen, and the mass and radius of the object can be adjusted. Introduction NOTE: Please take a stopwatch (or a wristwatch with a built‐in stopwatch) to lab if one is available to you; iPhone works too. ® Physics 1 and 2 Inquiry-Based Lab 1D and 2D Kinematics 61 AP Physics 1 Investigation 2: Newton's Second Law Rotational Motion 159 AP Physics 1 Investigation 8: Mechanical Waves 179 AP Physics 1 Investigation 9: Resistor Circuits AP PHYSICS 2 INVESTIGATIONS 195 AP Physics 2 Investigation 1: Boyle's Law. the definition of rotational dynamics would be; the study of forces torques , their effect on motion as opposed to kinematics ( see ref. Circular Motion WP #9 5. Kinematics Exams and Problem Solutions Kinematics Exam1 and Answers (Distance, Velocity, Acceleration, Graphs of Motion) Kinematics Exam2 and Answers(Free Fall) Kinematics Exam3 and Answers (Projectile Motion) Kinematics Exam4 and Answers (Relative Motion, Riverboat Problems). Rolling Cylinder Lab Teacher Notes. • To understand the concept of the moment of inertia. Circular Motion No labs M/T (Election day) WP #8 6. Dynamics #3. Rotation: Kinematics Rotation refers to the turning of an object about a fixed axis and is very commonly encountered in day to day life. In this lab, you will measure all of these properties and thoroughly explore rotational dynamics to discover these equations. Teacher Login Required. Define torque. Galileo hypothesized that a falling object would gain equal amounts of velocity in. Introduction: In this lab, we got to experiment with rotational dynamics. The Kinematics and Dynamics of Circular and Rotational Motion Goals: Compare the graphs of circular motion for a rotating turntable. (angle for displacement, angular velocity for velocity and angular acceleration for acceleration). 1 Rigid Bodies. Dynamics is a branch of physics (specifically classical mechanics) concerned with the study of forces and torques and their effect on motion, as opposed to kinematics, which studies the motion of objects without reference to its causes. Theoretical Introduction. in this lab, we got to experiment with rotational dynamics. We must include rotational kinetic energy in order to apply the principle of conservation of energy to systems involving. It is helpful to use a problem -solving strategy such as the one outlined below: 1. Kinematics as a field of study is often ref. This course in Kinematics covers four major topic areas: an introduction to particle kinematics, a deep dive into rigid body kinematics in two parts (starting with classic descriptions of motion using the directional cosine matrix and Euler angles, and concluding with a review of modern descriptors like quaternions and Classical and Modified. 00 m/sec to 36. Worksheet 3 (Rotational Energy and Angular Momentum) File Size: 86 kb: File Type: pdf. 1 Degrees of Freedom of a Rigid Body in a Plane. But the object will resist the change in motion, much the same way that any object resists a change in linear motion. Consider a point mass m with a momentum of p which rotates at a distance r around the axis of rotation. Know what students know, teach what students need. It is very common to analyze problems that involve this type of rotation - for example, a wheel. Now you will study in greater detail the kinematics and dynamics of rotating bodies. The SPMM 5000e from AB Dynamics is a class-leading vehicle Kinematics and Compliance (K&C) test machine designed by suspension engineers for use by suspension engineers. Rotational dynamics investigates rotational motion of objects and deals with effects that forces have on motion. Lab #9 - Kinematics & Dynamics of Circular & Rotational Motion Notice that the right triangle defines the relationship between the location of the particle in Cartesian and Polar coordinates. Fri, Apr 10 Homework #22 Odd O5 Rotation 23. 9-1 Unit 1: Kinematics. Triangles Law of Vector addition:- If two vectors are represented by two sides of a triangle, taken in the same order, then their resultant in represented by the third side of the triangle taken in opposite order. Dynamics of Fluid Flow - 1; 13. pdf 2b_dynamics_fr. 01 W11D2 W11D1 and W11D2 Reading Assignment: MIT 8. Lab 9 - Rotational Dynamics L09-3 University of Virginia Physics Department PHYS 1429, Spring 2012 shapes are given in Figure 2. There are many. Dynamics #3. Worksheet 3 (Rotational Energy and Angular Momentum) File Size: 86 kb: File Type: pdf. 2b-Dynamics FR practice problems. Review Material for Dynamics Portion of the Fundamentals of Engineering Exam Chuck Krousgrill Professor, School of Mechanical Engineering This packet contains review material on the area of dynamics in the topics listed below. 10 Rotational Energy and Angular Momentum Introduction. Angular Momentum 552 16. Introduction Abstract This section contains a brief introduction to rotational dynamics using analogies between motion in a straight line and rotation. Center of Mass. rotational kinematics & dynamics. Calculations. Question: Lab 9-ROTATIONAL DYNAMICS Purpose: The Purpose Of This Experiment Is To Experimentally Find The Rotational Inertia Of A Ring And A Disk And Verify That These Values Correspond To The Calculated Theoretical Values. Moment of Inertia (Rotational Inertia) I:- Moment of Inertiaof a body, about a given axis, is defined as the sum of the products of the masses of different particles constituting the body and the square of their distances from the axis of rotation. 2 Kinematics of Rotational Motion; 10. 7A Spring 2015 Course Schedule Week Dates Lecture Topics Discussion Lab Homework 1 Introduction, Vectors, 1D Kinematics 1,2 Math Review, WS 1 Kinematics 1 Intro to MP 2 Jan 26-30 2D and 3D Motion, Force 3,4 WS 2, 3 Kinematics 2 Ch 1,2 3 Feb 2-6 Newton's Laws 4 WS 4, 5 Quiz Ch 3,4 4 Feb 9-13 Newton's Laws, Friction 5 WS 6 Dynamics Ch 4,5. Lab Name: Rotational Inertia Lab Date: March 2015. Falling cats Conservation of angular momentum is not violated, at any time your total angular momentum is zero. Example of kinematics equations or models are x =x 0 + ut +0. The moment of inertia of the combined system about the center of the stick is (A) 2 0 1 4 IMLð+ (B) 2 0 1 2 IMLð+ (C) 2 0 3 4 IMLð+ (D) 2 IML0ð+. Next, read Chapter Sections 7. 7) Not so bad using linear kinematics. Equilibrium of Beam WP #10 9. Free fall practice 2. kinematics, Newton's laws, work and energy, oscillatory motion, rotational motion about a fixed axis, dynamics of systems of particles, central forces and celestial mechanics, three-dimensional particle dynamics, Lagrangian and Hamiltonian formalism, noninertial reference frames, elementary topics in fluid dynamics) 2. 1 Purpose In this experiment, rotationalmotion will be examined. Rotational Dynamics. Rotational Kinematics Taylor Series for angular velocity: – Similar to translational kinematics, with no “position vector” For rotations about a constant axis: – Rotations do commute → can assign an “angular position” θ – Taylor Series for rotation angle (about a constant axis only): = 0 d dt ∣ t0 t −t0 1 2. What is the. Contact: [email protected] If you have been studying it in your physics classes, this quiz can tell you how much you have learned and how much you need to. SP 211 Lab 8 - Rotational Kinematics and Dynamics Version: October 23, 2003 Ê (Chapter 10 in the textbook) is ubiquitous. The Barr Smith library has many books which are concerned with Dynamics. • Use both linear and rotational kinematics as a means of describing the behavior of systems. in this lab, we got to experiment with rotational dynamics. 24 km and the tracking angle and angular rate:. Rotational motion is motion around an object's center of mass where every point in the body moves in a circle around the axis of rotation. The larger the rotational inertia the harder it is to change the speed rotation. 10/11; 5: 04/07 Oct (Fri/Mon) In-Class Questions; Challenge Problems; 6: 08/09 Oct (Tue/Wed) Test: Kinematics and Dynamics. Another sample practice question dealing with angular projectiles. time – Acceleration: rate of change of velocity w. Fri, Apr 10 Homework #22 Odd O5 Rotation 23. But the object will resist the change in motion, much the same way that any object resists a change in linear motion. Rotational Dynamics Coletta §9-1, 9-2, & 9-3 (pp. Introduction 2. 3 Procedure for setting up the rotational motion experiment. With 2D dynamics, we can explain the orbit of the planets around the Sun, the grandfather clock, and the perfect angle to throw a snowball to nail your nemesis as they run away from you. ndUnderstand the calculation of torque in a simple situation, and apply Newton's 2 law for rotational motions. AP Physics C: Mechanics Course and Exam Description This is the core document for the course. If we do not change the size or shape of the object but vary only. 23 Conservation of energy 8 9 no lab 7 Mar. It is a work in progress, and likely always will be. Imagine looking down at an object that is rotating, such as a wheel or disk, as shown in Figure 13. Kinematics as a field of study is often ref. Teacher Login Required. Topics include: the kinematics and dynamics of linear and rotational motion, gravity, oscillatory motion, waves, and fluid mechanics. 3 and Example 9-8. In this lab, you will measure all of these properties and thoroughly explore rotational dynamics to discover these equations. Some objects do both at the same time! The time it takes for an. 2016 Robot Dynamics Lecture goals TT Mq b g J F S ext ext τ | |. University of Utah - Department of Physics & Astronomy 81 Physics 2015- Lab 7 Rotational Motion Q. 32 m) 2) A surprisingly spherical decepticon is rolled up a constant slope with an initial velocity of 9. r = radius of the circle. We will calculate these values through three “standard” setups that you may be familiar with from your lecture series. WEEK #11 LAB: Pendulum-Box Bash Friction Measurer and Diagnostic Tests. Kinematics Exams and Problem Solutions Kinematics Exam1 and Answers (Distance, Velocity, Acceleration, Graphs of Motion) Kinematics Exam2 and Answers(Free Fall) Kinematics Exam3 and Answers (Projectile Motion) Kinematics Exam4 and Answers (Relative Motion, Riverboat Problems). The Dynamics Cart and Track System is the core of every physics lab. Copy the movies to your section folder under the C:\218Labs folder. In fact, angular quantities can be used to describe rotational kinematics and dynamics in (almost) complete analogy with linear kinematics and dynamics. Rotational Motion Lab Purpose. Stroboscope and Fan D1. 11 m is at rest and is then accelerated at a rate of 2. It is a vector quantity, consisting of a magnitude component and either of two defined directions or senses. Lectures by Walter Lewin. What is a projectile? A body in free fall that is subject only to the forces of gravity and air resistance Motion of bodies flung into the air Occurs in many activities, such as baseball, diving, figure skating, basketball, golf, and volleyball A special case of linear kinematics. Date Topic Reading Notes; Jan: 09: Mon: Introduction & Course Policies: Website: 11: Wed: Motion Diagrams: 1. 11 Students will find the relationship between torque and angular acceleration in lab. 23 W L Moment-of-inertia, rotation about a fixed axis. Part 1: Varying Torque Calculate the torque produced in each run in Part 1 of the experiment. How much more rotational kinetic energy does the point mass have than the solid cylinder if they are both spinning about their symmetry axes with the same angular speed?. Spring Break 3/22. Rotational Kinematics: 3/8. Lecture 3: rigid body dynamics • kinematics example: rolling no slip • rotational equation of motion • mass moment of inertia • solving rigid body dynamics problems • dynamics example: pulley with mass Thursday, April 11, 13. Now, we repeat them again, but for. Bowling Ball on an Inclined Plane. Restore Rotary Aparatus to position indicated in Figure 9. According to Euler's rotation theorem, simultaneous rotation along a number of stationary. 2 - Rotational Dynamics FA8. All of the rotational concepts covered are analogous to linear motion properties, with very similar equations. Centripetal Force describes the forces on an object that is moving in a circular path. Stroboscope and Fan. For example the kinematics of a rigid body in space describes its possible coordinate positions and orientations and the range of velocities and angular velocities etc. THIS IS JUST A QUICK REFRESHER OF WHAT IS CONSIDERED BASIC MATH SKILLS NEEDED FOR THIS COURSE. ELECTROMAGNETISM (such as. Lab: Verifying Newton's Second Law complete Introduction pre-lab questions for next class Dynamics Ranking Tasks; 4: 02/03 Oct (Wed/Thu) Lab: Verifying Newton's Second Law formal lab report due Oct. study of the kinematics of linear and rotational motion, it is highly recommended that several units precede this unit on rotational motion — particularly if AP Physics 1 is the irst course in physics for students. No lab and no recitation (Mon and Tue) No lecture (due to lectures on 3. ® Physics 1 and 2 Inquiry-Based Lab 1D and 2D Kinematics 61 AP Physics 1 Investigation 2: Newton's Second Law Rotational Motion 159 AP Physics 1 Investigation 8: Mechanical Waves 179 AP Physics 1 Investigation 9: Resistor Circuits AP PHYSICS 2 INVESTIGATIONS 195 AP Physics 2 Investigation 1: Boyle's Law. The kinematics of rotational motion describes the relationships among rotation angle, angular velocity, angular acceleration, and time. Read carefully Sections 9 -3 and 9 -4 and Example 9 -11. Kinetic energy, work, and power are defined in rotational terms as K. PDF Rotational Kinematics Quiz V1 Name PSI AP Physics I Rotational Kinematics Quiz V1 Name_____ PSI AP Physics I 1. A uniform stick has length L. But first we have to briefly introduce a rotational kinematics. Credit will not be given for both this course and PHYS 211. In this article, a novel five-degrees-of-freedom hybrid robot is proposed and its kinematics and dynamics are analyzed systematically. 3 (after Example 10. 4 Lecture Hours. Labs: Week of June 29: Kinematics, Measurement and Uncertainty (not in printed lab book. 2 The evolution of the orbit as a source of chaos in rotational dynamics. Theoretical Introduction. If β is the angle between and ,. Physics problems: kinematics. 2 Introduction to Translation and Rotation. pdf: 2c_dynamics_mc_key. 1 Kinematics 1a_kinematics_mc. Translational accuracy for the skull/sternum JCS was 0. Lab for linear kinematics. Lab 12 "Rotational Dynamics. Dynamics of Fluid Flow - 2; 14. Thurs, September 8. The mean residuals of the translational and rotational orientations at the joints between the gold standard (the known orientations) and SR manual registration give us our measure of accuracy. Dynamics #3. Euler’s Theorem 534 15. rotation axis. Having established rotational kinematics, it seems logical to extend our study of rotational motion to dynamics. Topics include: the kinematics and dynamics of linear and rotational motion, gravity, oscillatory motion, waves, and fluid mechanics. It depends upon two factors, (i) Mass of body. com will now have to consider rotational dynamics in addition to linear dynamics). Inertia in Rotational Motion Apparatus Experiments on moment of inertia: TM 611 Rolling Disc on Inclined Plane Table mounted unit for basic experiments on dynamics: TM 612 Flywheel Apparatus Basic principles of rotational motion: TM 161 Compound Pendulum Apparatus Pendulum oscillations: TM 162 Bifilar / Trifilar Suspension Apparatus. Unit Notes - Download Torque; Download Rotational Kinematics Please see the following important concepts of this unit: Angular kinematics equations are just like the linear equations. The Laboratory portion of Physics 211 involves 9 8 labs in which physical phenomena associated with introductory classical mechanics will be studied, including: 1-dimensional and projectile motion; gravitational, spring, and frictional forces; work and energy; rotational motion; moments of inertia; simple harmonic motion; transverse waves on a string. Students roll various objects down an inclined plane and use their knowledge of rotational motion to determine the moment of inertia of the objects. Kinematics as a field of study is often ref. AP Physics 1 Unit 9. the kinematics of the joint can be measured. AP Physics B Free-Response Index B1 B2 B3 B4 B5 B6 B7 B8 20 11 c Kinematics - dynamics V and E graphs single slit interference LAB Buoyancy Variation on Millikan oil drop exp. Lab #9 - Kinematics & Dynamics of Circular & Rotational Motion Notice that the right triangle defines the relationship between the location of the particle in Cartesian and Polar coordinates. Inverse Kinematics does the reverse of kinematics and in case we have the end point of a particular structure, certain angle values would be needed by the joints to achieve that end point. Angular kinematic variables, angular momentum, Newton's 2nd law for rotational motion, torque and moments of inertia will be explored. Robot Dynamics and Control Second Edition Mark W. Where we previously assumed that our pulleys were "massless and frictionless," we will now allow our pulleys to have mass, and hence rotational inertia. FreeBookSummary. 3 Key Concepts You can find a summary on-line at Hyperphysics. kinematics, Newton's laws, work and energy, oscillatory motion, rotational motion about a fixed axis, dynamics of systems of particles, central forces and celestial mechanics, three-dimensional particle dynamics, Lagrangian and Hamiltonian formalism, noninertial reference frames, elementary topics in fluid dynamics) 2. time b Angular velocity vs. Lab 9: Rotation Experiment I: Rotational Kinematics Questions 1 | Print these graphs of the disk's motion. 3 and Example 9-8. Momentum is a vector with the same direction as the velocity Same units as impulse (N * s or kg * m/s) LIL Charts - Qualitative drawing of the change in momentum and impulse to help us make predictions about a situation. [email protected] The mean residuals of the translational and rotational orientations at the joints between the gold standard (the known orientations) and SR manual registration give us our measure of accuracy. After developing those ideas, students will try to determine two rotational kinematic equations and compare them to their linear counterparts. Cans On Inclined Plane - With And Without Water. time – Acceleration: rate of change of velocity w. Rotational Dynamics 551 16. energy in the linear kinematics. 2 Introduction to Translation and Rotation. This diver is moving toward the water along a • Rotational Dynamics • Rotation About a Fixed Axis • Static Equilibrium • Rolling Motion. Solve a 3-step rotational statics and dynamics problem for a new physical situation using algebra. Mathematically the rotational inertia is defined as the required torque/(change in angular velocity), much the same way as mass = required force/acceleration for linear motion. The ultimate aim of the project was to obtain displacement. Predict the magnitude of the angular velocity that causes a penny at a given radius to slip. ” OBJECTIVES: In this experiment, you will Collect angular acceleration data for objects subjected to a torque. This will include a detailed diagram and the algebraic work leading up to the results. Thurs, Apr 9 - Static Equilibrium - Conditions for equilibrium - Analysis of equilibrium situations Read 11. A bicycle wheel is accelerated at a rate of 3. Circular and Rotational Motion. The version of Newton's 2nd law that relates these quantities is Στ = Iα. Lab: Static Equilibrium Module 9 - Rotational Dynamics. 2 - Rotational Dynamics FA8. 246,266 views. edu Nathaniel Goldberg is a PhD candidate in his third year of graduate studies at the University of California, Berkeley. 214–223) Notes pp. is linear momentum vector. Remember how Newton's Laws for translational motion were studied: 1. Kinematics also differs from dynamics as used in modern-day physics to describe time-evolution of a system. PROBLEM #3. The needed formulas are outlined below. the Kinetics is deduced from Kinematics by the introduction of the concept of mass as kinetics is a term for the branch of classical mechanics that is concerned with the relationship between the. 3 mm, with rotational accuracies of 0. Kinematics is the branch of classical mechanics which describes the motion of points mass, without consideration of the masses of those objects nor the forces that may have caused the motion. Chapter 4 Eulerian Mechanics. As long as I know the distance and linear acceleration. Angular Kinematics Warm-Up Students work together on homework 3. Kinematics—the study of a body's motion independent of the forces on the body. 1 Angular Acceleration; 10. U5: UCM and Planetary Motion: U6: Energy, Work, and Power: Centripetal Acceleration. 2 Introduction Note: For this experiment, you will write a complete (formal) lab report and. cmbl provided to you in advance of lab. Rolling Dynamics 9. A course on concepts and principles of calculus-based physics. Referring to Figure 1, we denote a material point of by, say, , and the vector locates the material point , relative to a fixed origin , at time. Angular displacement (analogous to linear displacement) û 0 In radian measure, the angle, is define to be: r s where : s = arc length, the distance traveled along the circular path. Rotation of a body around a fixed axis. Learn exactly what happened in this chapter, scene, or section of Rotational Kinetics and what it means. 3 and Example 9-8. Introduction NOTE: Please take a stopwatch (or a wristwatch with a built‐in stopwatch) to lab if one is available to you; iPhone works too. pdf (487k) Guy Guglielmi, Feb 3, 2020, 9:36 AM. Lectures by Walter Lewin. For the length of the arc subtending angle " at the origin and "r" is the radius of the circle containing the position of the particle, we have \(\mathrm{s=rθ}\). Kinematics is the branch of classical mechanics concerned with the motion of various objects without reference to the forces which cause the motion. 9 IMPORTANT • Association between position, velocity, and acceleration: – Velocity: rate of change of position w. Description of Rotation (Rotational Kinematics) Consider a disc of radius R and mass M rotating about a fixed axis passing through its center as shown: It is observed as a group of infinite point masses in circles. 2 The evolution of the orbit as a source of chaos in rotational dynamics. ® Physics 1 and 2 Inquiry-Based Lab 1D and 2D Kinematics 61 AP Physics 1 Investigation 2: Newton's Second Law Rotational Motion 159 AP Physics 1 Investigation 8: Mechanical Waves 179 AP Physics 1 Investigation 9: Resistor Circuits AP PHYSICS 2 INVESTIGATIONS 195 AP Physics 2 Investigation 1: Boyle's Law. To do this it is obviously not sensible to use the rectilinear co-ordinates x, y, z, figure 4. 2 Summary of Results PART A Small Radius Medium Radius ω0 α τNet I0 Number of Points PART B With Disk With Rectangular Plate ω0 α τNet Imeas Icalc Icalc + I0 Number of Points Fill in this Table before leaving the lab after you complete Exercise 7. Angular Momentum 552 16. Teacher Login Required. Rotational Kinematics Rotational Dynamics Pressure 2 3 4 Cons. Physics Principles Of Dynamics And Rotational Kinematics 882 Words | 4 Pages. 75% average accuracy. • Evaluate problem solving strategies for rotational kinematics. Inverse kinematics. Rotational Kinematics 519 15. The larger the rotational inertia the harder it is to change the speed rotation. PHY 201 Physics 1: Calculus-Based 5 Credits. A net torque causes a change in rotation. 11/9/2014 Directly After Lab. ROTATIONAL KINEMATICS AND ROTATIONAL DYNAMICS. When the object makes one complete revolution or complete 360° we call this a _____. Objective: During this lab we will study what rotational Inertia is and how different shapes of masses and different masses behave inertially when compared to each other. In Physics 1, we try to "cover" mechanics in 1-4. Rotational Dynamics Goals •To calculate the moment of inertia of two metal cylindrical masses from their measured dimensions and their distance from the axis of rotation. Rotational Dynamics 551 16. Rotational Kinematics and Dynamics (Monterey) Torque and Rotational Statics (Monterey) Angular Momentum (Monterey) Multiple-Choice Practice Problems. Kinematics (q, w, a) 2. Chapter 6 Variational Methods in Analytical Dynamics. Using the definition of the momentum L= r x p (cross product of vectors r and p) show that dL/dt=M, where M is the moment of force. ROTATIONAL DYNAMICS. 1 Degrees of Freedom of a Rigid Body. The fixed axis hypothesis excludes the possibility of an axis changing its orientation, and cannot describe such phenomena as wobbling or precession. Powered by - Designed with the Hueman theme - Designed with the Hueman theme. Lab Activity: Kinematics Include these in your lab report: 1. Also, just like the mass matrix of a robot and the rotational inertia matrix I_b, the spatial inertia matrix G_b is symmetric and positive definite. Example of kinematics equations or models are x =x 0 + ut +0. Rotational dynamics in the case of the motion in an evolvi ng orbit 10. Rolling Dynamics 9. EXPERIMENTS IN ROTATIONAL MOTION: In three experiments you will study kinematics and dynamics of rotational motion using the Rotational Inertia Demonstrator. Problems and Solving Techniques. 2 [1 pt] What are the possible units of angular position? Q. (Principle Coordinator) (Lab Partner) (Lab Partner) Goals: Understand some basic concepts of rotational kinematics with constant acceleration. Angular Position Consider an object rotating about a x ed axis through O perpendicular to the plane as shown below 10. 3: Fixed-Axis Rotation; OpenStax College Physics - Chapter 10. 214-223) Notes pp. 4 rad/s2 for a period of 9. Therefore, it is not surprising to recognize that a rotational. of your book. This has implications for frequency dynamics and power system stability and operation. Read "Inverse kinematics and rigid-body dynamics for a three rotational degrees of freedom parallel manipulator, Robotics and Computer-Integrated Manufacturing" on DeepDyve, the largest online rental service for scholarly research with thousands of academic publications available at your fingertips. Translational – linear (seen in Chapters 2,3) 2. 2 dex -1 ), while the eccentricity does not change with metallicity for the thin-disk subsample. 2 The evolution of the orbit as a source of chaos in rotational dynamics. PDF Rotational Kinematics Quiz V1 Name PSI AP Physics I Rotational Kinematics Quiz V1 Name_____ PSI AP Physics I 1. (Principle Coordinator) (Lab Partner) (Lab Partner) Goals: Understand some basic concepts of rotational kinematics with constant acceleration. Additional Worksheets. Task: What is the orientation and position of the end effector? Inverse kinematics – Given is desired end effector position and orientation. ROTATIONAL KINEMATICS AND ROTATIONAL DYNAMICS. Rotational kinematics. Moment of Inertia (Rotational Inertia) I:- Moment of Inertiaof a body, about a given axis, is defined as the sum of the products of the masses of different particles constituting the body and the square of their distances from the axis of rotation. 8 Students will find the relationship between torque and angular acceleration in lab. Keep your answers to at least 4 significant digits. Calculations. Using the definition of the momentum L= r x p (cross product of vectors r and p) show that dL/dt=M, where M is the moment of force. Rotational dynamics in the case of the motion in an evolvi ng orbit 10. PHYS 2425 #14841 Lec 004 CYP 2222 TTh 9:00am- 10:20am Lab CYP 2236 TTh 10:30am- 11:50am. Conventional helicopters have two rotors. Kinematics and Dynamics of Fluid Flow; 12. 3/27/18 Rotational Dynamics Notes Guided Notes Homework. In the figure below, the two cylinders have the same masses. Demonstrate competency with lab instruments. Solve a 1-step rotational kinematics problem using algebra. 7) Not so bad using linear kinematics. Felicia Cherry Product Manager for Physical Science, Physics, and Earth Science High school physics courses usually begin with a study of classical mechanics. Prerequisite: MATH 101. Lab-I (PHY 100/200) Lab-II (PHY 300/500) Tracking kinematics of a fruitfly using video analysis. The first method. But first we have to briefly introduce a rotational kinematics. Rotation about a fixed axis is a special case of rotational motion. After all the movies for Lab 5 have been recorded for all three experiments, remove the memory card from the camera and insert the card into the computer. If the two objects are released at rest, and the height of the ramp is h = 0. Moment of Inertia (Rotational Inertia) I:- Moment of Inertiaof a body, about a given axis, is defined as the sum of the products of the masses of different particles constituting the body and the square of their distances from the axis of rotation. Introduction 1 1. pdf (487k) Guy Guglielmi, Feb 3, 2020, 9:36 AM. Our calculations were based on Galileo's ramp. Problems and Solving Techniques. NET Figure 3 Coordinated Yaw Rate Ball stays centered when the acceleration toward the outside of the turn due to yaw rate and velocity equals the acceleration to the inside due to bank angle and gravity. study of the kinematics of linear and rotational motion, it is highly recommended that several units precede this unit on rotational motion — particularly if AP Physics 1 is the irst course in physics for students. The correct answer is a. Designed to combine the most faithful possible simulation of on-road vehicle behaviour with the highest possible measurement accuracy it is the development tool of choice for. 8-9 Review for Final Exam. Kinematics (q, w, a) 2. 3 Problems – Rotational Dynamics Section 8. r = radius of the circle. The data is then transferred to Matlab Simmechanics (Mathworks, Natick, MA, USA) to calculate the centre of rotation of the joint. Introduction In this lab, we used the physics principles of dynamics and rotational kinematics to calculate the acceleration due to gravity near the earth’s surface. Part 2: Varying Rotational Inertia. When you are done with this lab… 13 0. Rotational Kinematics "Men talk of killing time, while time quietly kills them" Dion Boucicault - London Assurance (1841). A particle of mass M is attached to one end of the stick. Circular Motion No labs M/T (Election day) WP #8 6. 5at 2, v = v 0 +at. Newton's first and second law still apply. Kinematics of Rotational Motion • Observe the kinematics of rotational motion. ELECTROMAGNETISM (such as. Rotational Dynamics Now consider an object rolling down an incline plane. 3: Fixed-Axis Rotation; OpenStax College Physics - Chapter 10. Rotational Kinematics Videos. Powered by - Designed with the Hueman theme - Designed with the Hueman theme. Angular Momentum OUTLOOK 3. Balaji Kamalakkannan: Modelling and Simulation of Vehicle Kinematics Accurate modelling of the kinematic and/or dynamics behaviours of a vehicle, are required to achieve reasonable simulation results. (Principle Coordinator) (Lab Partner) (Lab Partner) Goals: Understand some basic concepts of rotational kinematics with constant acceleration. So I’m studying for my physics final, and I’m still struggling on kinematics and rotational dynamics. rotational kinematics & dynamics. Lesson 29: Moment of Inertia. Two equally valid paths to the answer make this a great inquiry lab, and you can differentiate easily by having advanced students search for BOTH paths to the answer, verifying both paths give you. rotational dynamics NEWTON'S 2nd LAW (TORQUE) The angular acceleration of a system is directly proportional to the net torque applied and inversely proportional to the system rotational inertia. For rotational motion, we will find direct analogs to force and mass that behave just as we would expect from our earlier experiences. Orthogonal Transformations 522 15. Describe each graph's general shape, being as precise as possible. 141 AP Physics 1 Investigation 7: Rotational Motion 159 AP Physics 1 Investigation 8: Mechanical Waves 179 AP Physics 1 Investigation 9: Resistor Circuits AP PHYSICS 2 INVESTIGATIONS 195 AP Physics 2 Investigation 1: Boyle’s Law 211 AP Physics 2 Investigation 2: Fluid Dynamics 227 AP Physics 2 Investigation 3: RC Circuits. 6 Collisions of Extended Bodies in Two Dimensions; 10. 0 s, how large a force must the tow rope support? Refer to the following information for the next question. Determine an expression for the torque applied to a rotating system. Dynamics of Fluid Flow - 2; 14. ) Rotate the system to wind the thread onto the spool, begin acquiring data with Logger Pro, and release the system from rest. Each person should write out a complete solution. Kinematics (Motion) Dynamics (Forces) & Gravitation. The Power required to dissipate the wheel’s initial energy is calculated using. Two equally valid paths to the answer make this a great inquiry lab, and you can differentiate easily by having advanced students search for BOTH paths to the answer, verifying both paths give you. From figure b, the components of v can be stated: The coordinate transformation from the I, J coordinate system to the coordinate system,. This means that if fast numeric dynamics evaluations are required, a user can supply Float64 or Float32 inputs. Students roll various objects down an inclined plane and use their knowledge of rotational motion to determine the moment of inertia of the objects. Use the report format, and timing you are familiar with from HChem. Linear and rotational dynamics. Equipment - Pulley - Hanging mass. Here (all units see here):. Rigid body dynamics - II principle of rotational dynamics in generalized form. Predict the magnitude of the angular velocity that causes a penny at a given radius to slip. Kinematics Lab: Wed 29 Aug: Kinematics Test: Wed 5 Sept: Adv Kinematics Probs 1 - 25: Fri 7 Sept: Writing Study Guide: Tue 11 Sept: Projectile Lab: Wed 12 Sept: Adv Kinematics Probs 26 - 35: Thu 13 Sept: Adv Kinematics Test: Wed 19 Sept: Adv Kinematics Lab: Tue 25 Sept: Dynamics Probs 1 - 26: Tue 2 Oct: Dynamics Probs 27 - 44: Thu 4 Oct. Kinematics is the description of motion. Additional Worksheets. Rotational Dynamics. In Physics 1, we try to "cover" mechanics in 1-4. Predict the magnitude of the angul ar velocity that causes a penny at a given radius to slip. The Excel spreadsheet requires several calculations to arrive at values for the angular acceleration and torque that are used to calculate the moment of inertia. 3 Murray Conservation of Angular Momentum. Rotational kinematics and the Fundamental Theorem of Calculus: Change the units of measurement back to radians (you can leave the "O" ring on the pulley for now if you want). When you start an engine, many parts rotate. Topics include: basic standards and unit conversions, vector algebra, translational kinematics, particle dynamics, work and energy, rotational kinematics and dynamics, simple harmonic motion, temperature, and calorimetry. Rotational – object move in circular paths • Motion around an axis of rotation. Comparison of dynamics equation for linear and rotational motion. Rotation of a solid body around a point. Electrons rotate in an atom. 9: L135: Conservation of Momentum and Kinetic Energy in Collisions : Conservation of energy and momentum: 9: L137: The Ballistic Pendulum : Rotational Dynamics / Gravitation: 19: Center of mass: 10: L139: Conservation of Momentum and Kinetic Energy in a Two-dimensional Collision : 20,21: Rotational motion: 11: L141: Center-of-mass Motion of a. We either know the velocity or acceleration, or the dependence of velocity on time or acceleration on time, but we need to find something else about this motion. Students roll various objects down an inclined plane and use their knowledge of rotational motion to determine the moment of inertia of the objects. In our class, and this lab, we shall consider and study the rotational kinematics of such a rigid body. Rotational kinematics practice Homework: Pkt conversion practice #9-17, 29-35, 51-59 odds (chk your answers above). Chapter 5: Dynamics of Uniform Circular Motion; Chapter 6: Work & Energy; Chapter 7: Impulse & Momentum; Chapter 8: Rotational; 3rd Rating Period: Chapters 9, 10, 16 & 17. 144 Lab 9 - Rotational Dynamics University of Virginia Physics Department PHYS 142W, Spring 2007 be the distance a point moves on a circle of radius r around the axis; let v be the linear velocity of that point and a its linear acceleration. Kinematics is the branch of classical mechanics which describes the motion of points mass, without consideration of the masses of those objects nor the forces that may have caused the motion. Robot “thinks” in joint coordinates. 3 Review of Angular Velocity and Acceleration. Using the definition of the momentum L= r x p (cross product of vectors r and p) show that dL/dt=M, where M is the moment of force. • Derive rotational kinematic equations. Centripetal Force describes the forces on an object that is moving in a circular path. Help would be. The torque required to accelerate the Rotational Dynamics Sensor is provided by a string with a. Prerequisite: MATH 101. In this lab, rotational motion was explored by using a rotational motion apparatus to examine angular momentum, angular acceleration from a torque, and moment of inertia. 01 Course Notes Chapter 20 Rigid Body: Translation and Rotational Motion Kinematics for Fixed Axis Rotation Sections 20. acceleration of a system is directly proportional to the net torque applied and inversely proportional to the system rotational inertia. Kinematics definition, the branch of mechanics that deals with pure motion, without reference to the masses or forces involved in it. Name_____ Ch 8-9 Sample Multiple Choice Questions - Rotational Kinematics and Dynamics Note : Unless otherwise noted, use g = 10 m/s2 and neglect air resistance. Kinematics. How to Solve Kinematic Problems 1.