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Q.

A solid cylinder of mass 3 kg is placed on a rough inclined plane of inclination 30o. If g = 10 ms-2, then the minimum frictional force required for it to roll without slipping down the plane is

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a

2N

b

5N

c

15N

d

18N

answer is B.

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Detailed Solution

τ=fR=Iα or fR=12mR2×aR or  f=12ma  …….(i) Now, mgsin⁡θ−f=ma or  mgsin⁡θ−12ma=ma or  32ma=mgsin⁡θ or 12ma=mgsin⁡θ3 From equation (i) f=mgsin⁡θ3 Substituting values, f=3×10×0.53N=5N
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