A drum of radius R and mass M, rolls down without slipping along an inclined plane of angle `theta`, The frictional force ………….

Options

A. Dissipats energy as heat
B. Decreases the rotational motion of cylinder
C. Decreases the rotational and translation motion
D. Converts translational energy to rotational energy

Answer

D

Explanation

When a cylinder rolling without slipping on the surface of slope then total work done by the friction force is zero.
`W_("total")=0`
Now `W_(("translational motion"))+W_(("rotational motion"))=0`
`therefore DeltaK_(("translational motion"))+DeltaK_(("rotational motion"))=0`
`therefore DeltaK_(("translational motion"))-DeltaK_(("rotational motion"))=0`