Q.

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

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a

13tan α

b

43tan α

c

23tan α

d

27tan α

answer is C.

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Detailed Solution

μmin=tan α1+mR2I =tan α1+2 =13tan α   as I=12mR2

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