A thin cylindrical shell and a solid sphere start from rest and roll without slipping down a 3.0-m-long inclined plane. The cylinder arrives at the bottom of the incline 2.4 s after the sphere does. Determine the angle the incline makes with the horizontal

A thin cylindrical shell and a solid sphere start from rest and roll without slipping down a 3.0-m-long inclined plane. The cylinder arrives at the bottom of the incline 2.4 s after the sphere does. Determine the angle the incline makes with the horizontal

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter11: Angular Momentum

Section: Chapter Questions

Problem 31P: A solid cylinder rolls up an incline at an angle of 20 . If it starts at the bottom with a speed of...

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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 thin cylindrical shell and a solid sphere start from rest and roll without
slipping down a 3.0-m-long inclined plane. The cylinder arrives at the bottom of the incline 2.4 s
after the sphere does. Determine the angle the incline makes with the horizontal
x-
E
F₁
mg 0
HOF L
C
DELL
9
O

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