A hollow cylinder (radius=.5m) rolls without slipping down an incline. The length of the incline is 1m and the friction force acting on the cylinder is 200N.
Find the rotational work done by the friction force on the cylinder during its motion on the plane.
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ReplyDeletedint see it was rotational work..
ReplyDelete200 maybe
200 j.
ReplyDeletebhaiya is it 200 joules
ReplyDeletemine is -200 joules
ReplyDeleteabhi rotational mechanics kiya nahi hai(2012 batch)
but nothing seem some rotational concept
i better leave this question
infact there is a lot of rotational concept involved here...
ReplyDeleteTry to prove that for a any rigid body rolling without slipping, translational work by friction = -rotational work by friction.
rotational work=torque(.)theta
ReplyDeletetorque is r(x)f, and theta measured anticlockwise, which is equivalent to measuring theta in the +Z direction
translational work=force(.)displacement
and, lastly, R(theta)=s
assuming directions, we can now prove the required