P19. A cylinder with mass of M and radius R can rotate about a vertical, frictionless axle. A se- cond cylinder, this one having mass m and radius r and initially rotating with angular speed wo, drops onto the first cylinder from small height (see the figu- re). Because of friction between the surfaces, the two eventually reach the same angular speed w. Wo m M R a) Find the value of w. b) Calculate the ratio of the final to the initial ro- tational energy. 3.
P19. A cylinder with mass of M and radius R can rotate about a vertical, frictionless axle. A se- cond cylinder, this one having mass m and radius r and initially rotating with angular speed wo, drops onto the first cylinder from small height (see the figu- re). Because of friction between the surfaces, the two eventually reach the same angular speed w. Wo m M R a) Find the value of w. b) Calculate the ratio of the final to the initial ro- tational energy. 3.
University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter10: Fixed-axis Rotation
Section: Chapter Questions
Problem 121CP: The angular acceleration of a rotating rigid body is given by =(2.0-3.0t)rad/s2 . If the body starts...
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Angular speed, acceleration and displacement
Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.
Angular Position
Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.
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