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Q.

A solid sphere of mass m and radius R is lying on a rough horizontal plane. A constant force 4mg acts vertically at point P such that OP makes an angle 600 with horizontal. Find the minimum value of coefficient of friction so that sphere starts pure rolling.

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a

27

b

37

c

47

d

57

answer is A.

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Detailed Solution

τ0=I0α⇒25mRα+f=2mg&f=ma=mαR ⇒f=107mg⇒107mg≤μN ⇒107mg≤μ(5mg),μ≥27
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