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, mgsinθ−f=ma or mgsinθ−12ma=ma or 32ma=mgsinθ or 12ma=mgsinθ3 From equation (i) f=mgsinθ3 Substituting values, f=3×10×0.53N=5N