what is work done by force of friction in rolling motion?

Answer 1

the point of contact remains stationaryin pure rolling motion as velocity of topmost point is(v+v= 2v) and velocity of centre of mass is ( v+0=v) velocity of lowest point is (v-v=0) so work done by force of friction is zero .

Answer 2

Work is defined by W = fd; where f is a net force pushing or dragging on a body over a distance d.

If we define P as the pushing force and F as the friction force resisting the push, the net force f = P - F = ma; where m is the mass of the thing being pushed. Now W = fd = mad = Pd - Fd; where Fd would be the work done by friction in attempting to keep the body m from moving forward in the direction of the push P.

If the body is not moving or it is moving at constant velocity (a = 0), then P - F = 0 = ma and W = fd = mad = (P - F)d = 0 and there is no net work being done. This results because the work put into the system with Pd is canceled out by the work lost through friction Fd.

Answer 3

There is always some friction at the surface of a rolling object. The work can be heat generated, or movement of the surface.

Answer 4

If there is no slipping, then the friction does no work since the edge of the rolling object is at rest w/r/t the surface.

If slipping, then it is the torque times the angle of displacement.

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