Rotational Motion Question 149

Question: The least coefficient of friction for an inclined plane inclined at angle a with horizontal in order that a solid cylinder will roll down without slipping is

Options:

A) $\frac{2}{3}\tan \alpha $

B) $\frac{2}{7}\tan \alpha $

C) $\tan \alpha $

D) $\frac{5}{7}\tan \alpha $

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Answer:

Correct Answer: C

Solution:

[c]

$\mu =\frac{F}{R}=\frac{mg\sin \alpha }{mg\cos \alpha }=\tan \alpha $



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