A uniform, thin cylindrical shell and solid cylinder roll horizontally without slipping. The speed of the cylindrical shell is v . The solid cylinder and the hollow cylinder encounter an incline that

Question

A uniform, thin cylindrical shell and solid cylinder roll horizontally without slipping. The speed of the cylindrical shell is $v$ . The solid cylinder and the hollow cylinder encounter an incline that they climb without slipping. If the maximum height they reach is the same, find the initial speed $v'$ of the solid cylinder.

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Answer:

A

Solution:

$K E = \frac{1}{2} {m v}^{2} + \frac{1}{2} I ω^{2}$
$\frac{3}{4} {m v}_{1}^{2} = {m v}_{2}^{2}$
$\frac{v_{1}}{v_{2}} = \sqrt{\frac{4}{3}}$

TestHub · Accepted Answer

K E = 1 2 m v 2 + 1 2 I ω 2 3 4 m v 1 2 = m v 2 2 v 1 v 2 = 4 3

Physics - Rotation Question with Solution | TestHub

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