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. 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. 11.1 - Torque. Increased Force = Increased Torque. Increased Radius = Increased Torque. 11.1 - . Torque. Only the tangential component of force causes a torque:. 11-1 Torque. This leads to a more general definition of torque:. 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.. Chapter 9. Copyright © 2014 John Wiley & Sons, Inc. All rights reserved.. 9-1. Center of Mass. Motion . of rotating objects . is complicated. T. here . is a special point . for . which . motion . 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.. 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 . Momentum = Mass x Velocity. p. =. mv. The SI unit for momentum is . kg·m. /s. Momentum and velocity are in the same . direction. Is a vector. Using the equation. p=. mv. At the same velocity, as mass increases – momentum increases. … to change equilibrium states!. EXTENSION to ROTATIONS. Translation concepts:. Mass . Linear velocity. Linear momentum. Force. Impulse equation. Equivalent Rotation . concepts:. ??? (define it). ??? (define it). What is Momentum? Unit 8 Section 3 Momentum Momentum is a property of ALL moving objects Momentum is the product of the mass and velocity of an object. Momentum = mass x velocity ( P=M x V) Momentum is labeled as kg x m/s with a direction. Momentum. Measures how hard it is to stop a moving object.. Momentum can be defined as . "mass in motion.". . All objects have mass; so if an object is moving, then it has momentum - it has its mass in motion. . 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.