A drum of radius R and mass M, rolls down without slipping along … - Vidyadip

MCQ

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

A
Decreases the rotational and translational motion
B
Dissipates energy as heat
C
Decreases the rotational motion
✓
Converts translational energy to rotational energy

✓

Answer

Correct option: D.

Converts translational energy to rotational energy

d
When a body rolls down without slipping along an inclined plane of inclination $\theta,$ it rotates about a horizontal axis through its centre of mass and also its centre of mass moves. Therefore, rolling motion may be regarded as a rotational motion about an axis through its centre of mass plus a translational motion of the centre of mass. As it rolls down, it suffers loss in gravitational potential energy provided translational energy due to frictional force is converted into rotational energy.

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