A uniform solid 5.25-kg cylinder is moving up a ramp that is incline at 30° to the horizontal. The initial speed of the cylinder at the bottom of the ramp is 5.00 m/s. Find the maximum distance, d, the cylinder rolls up the ramp (this is not the final height but the length of the incline that the cylinder travels). The moment of Inertia of the cylinder is 1 =½ MR².

A uniform solid 5.25-kg cylinder is moving up a ramp that is incline at 30° to the horizontal. The initial speed of the cylinder at the bottom of the ramp is 5.00 m/s. Find the maximum distance, d, the cylinder rolls up the ramp (this is not the final height but the length of the incline that the cylinder travels). The moment of Inertia of the cylinder is 1 =½ MR².

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 33P: A hollow cylinder that is rolling without slipping is given a velocity of 5.0 m/s and rolls up an...

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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 uniform solid 5.25-kg cylinder is moving up a ramp that is incline at 30° to
the horizontal. The initial speed of the cylinder at the bottom of the ramp is
5.00 m/s. Find the maximum distance, d, the cylinder rolls up the ramp (this is
not the final height but the length of the incline that the cylinder travels). The
moment of Inertia of the cylinder is I = ½ MR².

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