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Mainak Chakraborty Grade: Upto college level

  A solid cylinder of mass m and radius r is rolling on a rough inclined plane of inclination θ. The coefficient of friction between the cylinder and incline is m. Then

        (A)    frictional force is always mmg cos θ

        (B)    friction is a dissipative force

        (C)    by decreasing θ, frictional force decreases

        (D)    friction opposes translation and supports rotation

8 years ago

Answers : (1)

Badiuddin askIITians.ismu Expert
147 Points

Dear Mainak



N = mgcosx

maximum frictional force  f= μN =μmgcosx

 this friction force will not always act .it is the maximum possible frictional force.

 a= (mgsinx -f)/m

for pure rollinr  α =a/r


and torque f.r  = mr2/2 α

                 f  =ma/2

                    =m/2 (mgsinx -f)/m

                f = mg/3 sinx

by decresing x frictional force decreses

 so  d option is correct

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8 years ago
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