PPT-Angular momentum of a point mass

Angular momentum of a rigid rotating object Conservation of angular momentum Lecture 23 Angular momentum Translation vs rotation   Angular momentum is fundamental quantity for rotation. 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:. A . torque. is an action that causes objects to rotate.. Torque is . not. . the same thing as force.. For rotational motion, the torque. . is what is most directly related to the motion, not the force.. Momentum Defined. p. = m . v. p. = momentum vector. m. = mass. v. = velocity vector. Momentum Facts. Linear Momentum. p. = m . v. Momentum is a vector quantity!. Velocity and momentum vectors point in the same direction.. AP Physics C. Torque. So far we have analyzed translational motion in terms of its angular quantities. But we have really only focused on the kinematics and energy. We have yet to add dynamics (Newton's Laws) to the equation... 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). AP Physics. Work-Energy Theorem for Rotation.  .  .  .  . End Slide.  .  .  . Work-Energy Theorem for Rotation.  .  . End Slide.  .  .  .  .  .  .  .  .  . Work-Energy Theorem for Rotation. 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 . … to change equilibrium states!. EXTENSION to ROTATIONS. Translation concepts:. Mass . Linear velocity. Linear momentum. Force. Impulse equation. Equivalent Rotation . concepts:. ??? (define it). ??? (define it). 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 Rate of change of angular momentum.. Gyroscopic Couple.. Gyroscopic Couple effect in a ship.. Gyroscopic effect in a aero plane.. Angular momentum (L). Angular momentum . (L):. . If a circular disc rotating about an axis passing through center of disc and perpendicular to circular plane.. 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.