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Q.

A solid sphere of mass 10 kg is placed on a rough surface having coefficient of friction μ = 0.1. A constant force F = 7 N is applied along a line passing through the centre of the sphere as shown in the figure. The value of frictional force on the sphere is

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a

1 N

b

2 N

c

3 N

d

7 N

answer is B.

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Detailed Solution

Let f be frictional force towards left for pure rolling.a = Rαwhere, a = F-fm = 7-f10          α = τI = fRI = fR25mR2 = 5f2mRHence, 7-f10 = 5f10    ⇒f = 2N
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