Question:

A homogeneous solid cylindrical roller of radius $R$ and mass $M$ is pulled on a cricket pitch by a horizontal force. Assuming rolling without slipping, angular acceleration of the cylinder is :

Updated On: Aug 5, 2024
  • $\frac{3F}{2m R }$
  • $\frac{F}{3m R }$
  • $\frac{2F}{3m R }$
  • $\frac{F}{2m R }$
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The Correct Option is C

Solution and Explanation

$FR = \frac{3}{2} MR^{2}\alpha $
$ \alpha =\frac{2F}{3MR} $
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Concepts Used:

System of Particles and Rotational Motion

  1. 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.
  2. 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.
  3. The few common examples of rotational motion are the motion of the blade of a windmill and periodic motion.