ROTATIONAL MOTION Problem-solving: Drag and drop your answer into the box provided on each item. A cylinder of radius R and mass m rolls on a floor without slipping with a speed v. The cylinder then rolls up an inclined plane. Friction between the cylinder, floor, and inclined plane is negligible. A.) What is the maximum height reached by the cylinder. B.) If the angle of inclination of the inclined plane is e, find, in terms of the maximum height, v, and e, the time taken for the cylinder to roll down the inclined plane. The Moment of inertia of a cylinder about its axis is 1/2 mR^2. 3 h 1v? 2h 3v? :: 4 h :: :: :: :: v sin 0 v sin 0 v sin 0 4g 3g

Glencoe Physics: Principles and Problems, Student Edition
1st Edition
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Paul W. Zitzewitz
Chapter8: Rotational Motion
Section: Chapter Questions
Problem 88A
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ROTATIONAL MOTION
Problem-solving: Drag and drop your answer into the box provided on each item.
A cylinder of radius R and mass m rolls on a floor without slipping with a speed v. The cylinder then rolls up an inclined plane. Friction
between the cylinder, floor, and inclined plane is negligible.
A.) What is the maximum height reached by the cylinder.
B.) If the angle of inclination of the inclined plane is e, find, in terms of the maximum height, v, and e, the time taken for the cylinder to roll
down the inclined plane.
The Moment of inertia of a cylinder about its axis is 1/2 mR^2.
2 h
3 h
4 h
3v2
lv²
::
::
v sin 0
v sin 0
v sin 0
4g
3g
::
Transcribed Image Text:ROTATIONAL MOTION Problem-solving: Drag and drop your answer into the box provided on each item. A cylinder of radius R and mass m rolls on a floor without slipping with a speed v. The cylinder then rolls up an inclined plane. Friction between the cylinder, floor, and inclined plane is negligible. A.) What is the maximum height reached by the cylinder. B.) If the angle of inclination of the inclined plane is e, find, in terms of the maximum height, v, and e, the time taken for the cylinder to roll down the inclined plane. The Moment of inertia of a cylinder about its axis is 1/2 mR^2. 2 h 3 h 4 h 3v2 lv² :: :: v sin 0 v sin 0 v sin 0 4g 3g ::
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