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  4. A drum of radius R and mass M rolls down without slipping along an inclined plane of angle θ . The frictional force

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

NTA AbhyasNTA Abhyas 2020System of Particles and Rotational Motion

Solution:

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.