A spinning solid disk, rotating with angular velocity w, is put down on a level surface. It slides and rolls until it reaches an angular Show that rologi+ (11 at which it rolls without sliding. w = w/3.

A spinning solid disk, rotating with angular velocity w, is put down on a level surface. It slides and rolls until it reaches an angular Show that rologi+ (11 at which it rolls without sliding. w = w/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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Concept explainers

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.

Question

A spinning solid disk, rotating with angular velocity w, is put down
on a level surface. It slides and rolls until it reaches an angular
at which it rolls without sliding. Show that w = w₂/3.
velocity w
3

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