Q.

A uniform disc of mass 5 kg and radius 1 m is placed vertically on a rough horizontal surface. A horizontal time varying force is applied on the center of disc and its variation with time is shown in the graph. The co–efficient of friction between disc and surface is 0.4. (Take g = 10 m / s2)

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Then which of the following option is/are correct

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a

at t = 7 sec disc is rolling without slipping

b

at t = 4 sec disc is rolling without slipping

c

at t = 3 sec disc is rolling without slipping

d

at t = 3 second friction force is 10 N

answer is A, B, D.

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Detailed Solution

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Translation :Ff = ma1Rotation :τ=Iαf R=mR22aRa=Rαf=ma23

from 1 & 3f=F3=10t3Ft=808F=10t

For pure rollingfμmg10t320t6s

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