You are given four objects. A Solid cylinder, a thin-walled hollow cylinder, a solid sphere, and a hollow sphere. All of them have the same mass ?m, and radius ?R. They are all put on an incline plane of hight ℎh, and angle ?θ. 1a) Derive a formula for the final speed at the bottom of the ramp in terms of ?,?,ℎ,?m,R,h,I, and ?θ. 1b) Which one will get to the bottom first? (Hint: ?I is for Rotational Inertia).

You are given four objects. A Solid cylinder, a thin-walled hollow cylinder, a solid sphere, and a hollow sphere. All of them have the same mass ?m, and radius ?R. They are all put on an incline plane of hight ℎh, and angle ?θ. 1a) Derive a formula for the final speed at the bottom of the ramp in terms of ?,?,ℎ,?m,R,h,I, and ?θ. 1b) Which one will get to the bottom first? (Hint: ?I is for Rotational Inertia).

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 87A

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