8. In the figure, two platters are free to rotate without friction around the axis of rotation through their centers. Main platter with radius R1 = 30 cm is rotating with a constant angular velocity of w1 = 5 rad/s in counterclockwise direction. The second platter with radius R2 = 20 cm is rotating with a constant angular velocity of wz = 20 rad/s in the opposite direction above the platter M1. After a time, the platter M2 drops on the platter M1 and then, two platters rotate at a constant angular velocity. W2 M2=6 kg (The moment of inertia of a platter about its center of mass is Iem = /2 mR?). M1 = 8 kg a) Calculate the angular momentum of the platters immediately before the W1 collision. axis of rotation b) Find magnitude and direction of the common angular velocity of the two- platter system immediately after the collision. CHAPTER 11-Angular Momentum; General Rotation PHYS101 c) Is kinetic energy conserved during the collision? (Show a Mathematical proof of your answer) Answers: a) LiF1.8 kgm²/s, L2= -2.4 kgm²/s ; b) -1.25 rad/s rotating clockwise ; c) not conserved

8. In the figure, two platters are free to rotate without friction around the axis of rotation through their centers. Main platter with radius R1 = 30 cm is rotating with a constant angular velocity of w1 = 5 rad/s in counterclockwise direction. The second platter with radius R2 = 20 cm is rotating with a constant angular velocity of wz = 20 rad/s in the opposite direction above the platter M1. After a time, the platter M2 drops on the platter M1 and then, two platters rotate at a constant angular velocity. W2 M2=6 kg (The moment of inertia of a platter about its center of mass is Iem = /2 mR?). M1 = 8 kg a) Calculate the angular momentum of the platters immediately before the W1 collision. axis of rotation b) Find magnitude and direction of the common angular velocity of the two- platter system immediately after the collision. CHAPTER 11-Angular Momentum; General Rotation PHYS101 c) Is kinetic energy conserved during the collision? (Show a Mathematical proof of your answer) Answers: a) LiF1.8 kgm²/s, L2= -2.4 kgm²/s ; b) -1.25 rad/s rotating clockwise ; c) not conserved

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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