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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

7 years ago

Answers : (1)

Badiuddin askIITians.ismu Expert
147 Points
										

Dear Mainak


 


7308-2479_7662_untitled.JPG


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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7 years ago
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