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 $