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Chapter 10 Rotation of a Rigid Object About a Fixed Axis Rolling Motion Rigid body object or system of particles in which distances between component parts remains ...

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Chapter 10 Rotation of a Rigid Object about a Fixed Axis Putaran Objek Tegar Terhadap Paksi Tetap Subtopik-subtopik Kedudukan sudut, halaju dan pecutan Kinematik ...

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Strictly speaking, the speed and acceleration (w, a) are the magnitudes of the ... Moment of Inertia. The definition of moment of inertia is ...

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Ft = mat. Torque and Angular Acceleration, Particle cont. ... t = Ft r = (mat) r. The tangential acceleration is related to the angular acceleration ...

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Instantaneous Angular Speed. The instantaneous angular speed is defined as the limit of the average speed as ... Instantaneous Angular Acceleration ...

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Ch8. Rotational Kinematics Rotational Motion and Angular Displacement Angular displacement: When a rigid body rotates about a fixed axis, the angular displacements is ...

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Rigid Body: Rotational and Translational Motion; Rolling without Slipping 8.01 W11D1 Today s Reading Assignment: W11D1 Young and Freedman: 10.3-10.4 Overview ...

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Rigid Body: Rotational and Translational Motion; Rolling without Slipping 8.01 W11D1 Today s Reading Assignment Young and Freedman: 10.3

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Chapter 12 Rotation of a Rigid Body 12.1 Rotational Motion 12.2 Center of Mass 12.3 Rotational energy 12.4 Moment of Inertia 12.5 Torque 12.6 Rotational dynamics

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Rotational of rigid body ... Every particle in the body is in the circular motion about point O. O Z * The rigid body has a rotational kinetic energy which is the ...

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Example: A discus thrower turns with an angular acceleration of 50 rad/s2, ... and centripetal acceleration when the discus has an angular velocity of 10 rad/s. ...

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For a rigid body in total equilibrium, there is no net torque, about any point ... A student holds a meter stick straight out with one or more masses dangling from ...

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What determines whether an object will rotate when a force acts on it? ... You use leverage when you use a claw hammer to pull a nail from a piece of wood. ...

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An object will remain in rotational equilibrium if its center of mass is above the area of support. What determines whether an object will rotate when a force acts on it?

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body moves on a plane with no rotation. All points on body have same velocity vector ... Curvilinear motion. 4. Rotation: circular paths for all particles on body ...

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Rotational motion is the spinning of an object around an axis. ... Technically, change in angular velocity divided by time calculates AVERAGE angular acceleration. ...

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Rigid Body Motion Quaternion Rotation To rotate a vector r by about axis v: take q = (cos( /2), v sin( /2) Let p = (0,r) obtain p' from the quaternion resulting ...

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Ch 9. Rotational Dynamics The Action of Forces and Torques on Rigid Objects (b) Combined translation and rotation (a) Translation Example 1. Different Lever Arms ...

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Chapter 7 7.1 Measuring rotational motion Rotational Quantities Rotational motion: motion of a body that spins about an axis Axis of rotation: the line about which ...

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Chapter 8 Rotational kinematics Section 8-1 Rotational motion In general the three-dimensional description of a rigid body requires six coordinates: three to locate ...

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Rotational Motion Chapters 10, 11, & 12 Torque and CG The block topples when the CG extends beyond its support base. Torque and CG The Rule for Toppling If the CG ...

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Rotational Motion and Angular Momentum Unit 6 Rotational Motion and Angular Momentum Unit 6 Consider the object subject to the three forces shown to the right.

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Title: PowerPoint Presentation Author: steve Last modified by: steve Created Date: 1/1/1601 12:00:00 AM Document presentation format: A4 Paper (210x297 mm)

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Title: 4.1 The Concepts of Force and Mass Author: Michael Tammaro Last modified by: Charlie Ropes Created Date: 9/6/2005 4:56:41 PM Document presentation format

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Alidade assembly Horizontal circle assembly Levelling head assembly Line of Sight Traverse/horizontal axis Vertical circle rigidly fixed to the telescope Vertical ...

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Chapter 7 Rotational Motion and The Law of Gravity From the Earth to the Moon In a book by Jules Verne, a giant cannon dug into the Earth fires spacecraft to the Moon.

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A car coasts to a stop with a uniform deceleration of 1.2 rad/s for its wheel. ... Elevator accelerates downward: m(g a) with a 0. Satellite: a=-g!! Chapter 10 ...

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Title: Lecture 9 Author: Physics Dept. Last modified by: Office of Information Technology Created Date: 10/20/2004 4:29:01 PM Document presentation format

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Rotational Motion

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What is the angular velocity of the minute hand of a mechanical clock? ANGULAR ACCELERATION. SI Unit of Average Angular Acceleration: radian per second squared ...

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Modeling Objects by Polygonal Approximations Define volumetric objects in terms of surfaces patches that surround the volume Each surface patch is approximated by a ...

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Just as if body were a particle with mass M and velocity v(t) ... Diagonalize tensor matrix, define the eigenvectors to be the local body axes ...

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Comparing degrees and radians. Converting from degrees to radians. Angular Position, final ... Uf = Ki = 0. Turning a Spacecraft. Here the gyroscope is not rotating ...

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Consider all points of the form. P ... x'=sxx. y'=syx. z'=szx. Uniform and non-uniform. scaling. 27. Reflection ... x'=sxx. y'=syx. z'=szx. p'=Sp. 35. Inverses ...

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Class 26 - Rotation. Chapter 10 - Monday October 25th. Review ... if several torques act on an object, the net torque tnet is given by the vector sum. ...

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Two-Dimensional Rotational Dynamics 8.01 W09D2

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Rigid Body Dynamics (I) * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * Contacts(A,B) Returns the set of features that are nearest ...

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Unit quaternions can do it with 4 ... A rotation of ? about a unit axis u can be represented by the unit quaternion: ... Unit Quaternion Usage ...

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Title: Graphics Systems and Models Author: The Harris Family Last modified by: fredh Created Date: 8/25/2001 1:58:09 AM Document presentation format

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Krot = I w2. Spinning Earth. How much energy is stored in the spinning earth? ... The kinetic energy for the earth: Krot = 1/5 M R2 w2. With values: K = 2.56 ...

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Rotational Motion and Angular Momentum * Angular momentum is conserved, so the teacher will start spinning in the direction the wheel was spinning originally.

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An electric motor turns a flywheel through a drive belt that joins a pulley on the motor and a pulley that is rigidly attached to the flywheel, ...

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Find the kinetic energy of the earth ,given its mass m, moment of ... precession. The revolution of the axis of spinning objects. definition. precession. L ...

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A cockroach rides the rim of a rotating merry-go-round. ... If is decreasing , does the cockroach have. radial acceleration. b) tangential acceleration ...

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Chapter 6,9,10 Circular Motion, Gravitation, Rotation, Bodies in Equilibrium Example A turntable is a uniform disk of metal of mass 1.5 kg and radius 13 cm.

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Every vector can be multiplied by a scalar. There is a zero vector ... Scalar-vector multiplication u= v Vector-vector addition: w=u v. 1 ? P = P ...

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Advanced Rotational Dynamics for AP Physics +Common Examples of Rotation +Review of Introductory Rotational Dynamics +Combined translation and rotation

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Also describe motion of rigid body with one pt. fixed & no forces, torques. ... of the (time dependent) angular velocity ? is the same as the direction of ? (= ?(t) ...

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... and multiplication) obeying some fundamental axioms (associativity, ... Scalar-vector multiplication u= v Vector-vector addition: w=u v. 1 ? P = P ...

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The line of action is an extended line drawn colinear with ... Example 11. Hoisting a Crate. 44. A crate that weighs 4420 N is being lifted by the mechanism. ...

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Experiment 5: Rotational Dynamics and Angular Momentum 8.01 W10D1 Young and Freedman: 10.5-10.6

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Experiment 5: Rotational Dynamics and Angular Momentum 8.01 W10D1 Young and Freedman: 10.5-10.6;

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Two-Dimensional Rotational Dynamics 8.01 W09D2 Young and Freedman: 1.10 (Vector Product), 10.1-10.2, 10.4, 11.1-11.3;

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Two-Dimensional Rotational Kinematics 8.01 W09D1 Young and Freedman: 1.10 (Vector Products) 9.1-9.6, 10.5

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When calculating the integral of geodesic distance the computational cost is high ... Appendix- Calculating n. The calculation is done using Dijkstra's algorithm: ...

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Given: The cable of the tower crane is subjected to 840 N force. ... b) Draw a FBD of the crane. c) Write the forces using Cartesian vector notation. ...

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