Question:
A drum of radius $R$ and mass $M$, rolls down without slipping along an inclined plane of angle $ \theta$ The frictional force
A drum of radius $R$ and mass $M$, rolls down without slipping along an inclined plane of angle $ \theta$ The frictional force
Updated On: Jun 7, 2022
- converts translational energy to rotational energy
- dissipates energy as heat
- decreases the rotational motion
- decreases the rotational and translational motion
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The Correct Option is A
Solution and Explanation
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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Concepts Used:
System of Particles and Rotational Motion
- The system of particles refers to the extended body which is considered a rigid body most of the time for simple or easy understanding. A rigid body is a body with a perfectly definite and unchangeable shape.
- The distance between the pair of particles in such a body does not replace or alter. Rotational motion can be described as the motion of a rigid body originates in such a manner that all of its particles move in a circle about an axis with a common angular velocity.
- The few common examples of rotational motion are the motion of the blade of a windmill and periodic motion.