Question:

The angular momentum of a rotating body changes from $A_{0}$ to $4 A_{0}$ in $4$ minutes. The torque acting on the body is :

Updated On: Jun 7, 2022
  • $ 3/4A_{0}$
  • $ 4A_{0}$
  • $ 3A_{0}$
  • $ 3/2A_{0}$
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The Correct Option is A

Solution and Explanation

Torque $\tau=\frac{d L}{d t}=\frac{\left(4 A_{0}-A_{0}\right)}{4}$
$=\frac{3 A_{0}}{4}$
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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.