PPT-More Angular Momentum Physics 1425 Lecture 22

Michael Fowler UVa Torque as a Vector Suppose we have a wheel spinning about a fixed axis then always points along the axisso points along the axis too If we want to write a vector equation. Be able to identify phases of movement infer sources of propulsion and braking Be able to use the laws of constant angular accel Grasp the applications to human movement Questions to Think About Why would tight calf muscles restrict the ability to Particle on a ring. (c) So Hirata, Department of Chemistry, University of Illinois at Urbana-Champaign. . This material has . been developed and made available online by work supported jointly by University of Illinois, the National Science Foundation under Grant CHE-1118616 (CAREER), and the Camille & Henry Dreyfus Foundation, Inc. through the Camille Dreyfus Teacher-Scholar program. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the sponsoring agencies. 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. Phil Armitage. Colorado. Processes in Protoplanetary Disks. Disk structure. Disk evolution. Turbulence. Episodic accretion. Single particle evolution. Ice lines and persistent radial structure. Transient structures in disks. Space quantization and spin. (c) So Hirata, Department of Chemistry, University of Illinois at Urbana-Champaign. . This material has . been developed and made available online by work supported jointly by University of Illinois, the National Science Foundation under Grant CHE-1118616 (CAREER), and the Camille & Henry Dreyfus Foundation, Inc. through the Camille Dreyfus Teacher-Scholar program. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the sponsoring agencies. Torque. . Angular momentum. . . Angular momentum is conserved!!. Chapter 11: Angular Momentum. Reading assignment: Chapter 11.1 to 11.4. Homework . :. . QQ3, QQ4, AE8, OQ5, 1, 3, 5, 10, 11, 12, 25, 26, 31, 34, 56. 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). z. -component angular momentum. The . z. -component of the angular momentum operator depends only on . φ. The . particle-on-a-sphere wave . function is the . eigenfunction. of the . l. z. operator.. 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 Key Concepts. For each translational motion quantity (position, velocity, acceleration, force, mass, momentum, . kinetic energy). there is a rotational quantity. Same equations apply. . Angular velocity (sign!) and . 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. L. B. >L. A. =L. F. =L. G. >L. E. >L. C. >L. D. L. C. =L. B. =L. A. =L. D. >L. E. =L. F. >L. G. L. A. >L. B. =L. C. =L. D. >L. E. >L. F. >L. G. L. B. >L. A. =L. C. =L.