PDF-Rotation, Rolling, Torque, Angular Momentum Halliday, Resnick & Walker

Rotation Rotational Variables Torque oRotational Inertia or A rolling bowling ball where rotation and translation occur Rotational Variables From above From side Rotational Variables. Buffalo Astronomical Association. May 8, 2009. Jude S. Sabato. Assistant Professor of Earth Science. Buffalo State College. Outline. Overview of . p. lanetary atmospheres. Angular momentum in rotating atmospheres. What was Angular Momentum Again?. If a particle is confined to going around a sphere:. At any instant the particle is on a particular circle. r. v. The particle is some distance from the origin, . r. Stepan. . Tkachev. Introduction. Attitude control systems. Passive. Active. Gravitational. Magnetic. Magnetic. Gyroscopic. Thrusters. Introduction. Attitude control systems. Need fields. Independent. rads. ). angular velocity (. rad/s. ). angular acceleration (rad/s. 2. ). Recall that centripetal acceleration is expressed in terms of tangential velocity as: . a. r. = v. 2. /r. How is it expressed in terms of angular velocity . P221: November 8, 2013. Summary. Linear momentum. Angular momentum. Clicker Question. A student is riding on the outside edge of a merry-go-round rotating about a frictionless pivot. She holds a heavy ball at rest in her hand. If she releases the ball, the angular velocity of the merry-go-round will:. Chapter 11. Copyright © 2014 John Wiley & Sons, Inc. All rights reserved.. 11-1. Rolling as Translation and Rotation Combined. 11.01. Identify that smooth rolling can be considered as a combination of pure translation and pure rotation.. Movement around a fixed point or axis. Spin; somersault . Occurs when a force is applied outside the centre of mass. An off centre force is referred to as an eccentric force.. Examples of a force being applied outside the centre of mass of an object or body to cause rotation. . 2. Dynamics of Rotational Motion. Prepared by Vince Zaccone. For Campus Learning Assistance Services at UCSB. Torque. Torque is what causes angular acceleration (just like a force causes linear acceleration). HTHS AP Physics 1. M. Dimler. Torque. Torque. is a force that causes an object to turn. Torque. - Force directed perpendicular to the “lever arm” of an object that has the ability to rotate the object around a fulcrum or axis. . Purpose/Problem. Conservation of . angular momentum.  is the principle that the angular momentum of an object remains constant as long as no external . torque,.  or moment, acts on that object. When a figure skater is in the air, he or she is rotating about his or her center of mass and possess a certain amount of angular momentum. The only external force is gravity. However, gravity acts vertically down through the . Rotational Motion – Torque and Angular Momentum AP Physics 1 Torque Forces with equal strength will have different effects on a swinging door. The ability of a force to cause rotation depends Chapter 11. Copyright © 2014 John Wiley & Sons, Inc. All rights reserved.. 11-1. Rolling as Translation and Rotation Combined. 11.01. Identify that smooth rolling can be considered as a combination of pure translation and pure rotation.. Michael Fowler, UVa . Torque as a Vector. Suppose we have a wheel spinning about a fixed axis: then always points along the axis—so points along the axis too.. If we want to write a vector equation. Total Angular Momentum. L. , . L. z. , . S. , . S. z. J. and . J. z. are quantized. Orbital angular momentum. Spin angular momentum. Total angular momentum. Total Angular Momentum. If . j. and . m.