Question:

The radius of gyration of a body about an axis at a distance of $6\, cm$ from its centre of mass is $10\, cm$. Then, its radius of gyration about a parallel axis through its centre of mass will be

Updated On: Aug 15, 2022
  • 800 cm
  • 8 cm
  • 0.8 cm
  • 80 m
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The Correct Option is B

Solution and Explanation

$T_{A B}=I_{ CM }+M h^{2}$ $M K_{AB}^{2}=M K_{ CM }^{2}+M h^{2}$ $K_{A B}^{2}=K_{ CM }^{2}+h^{2}$ Given, $K_{A B}=10\, cm,\, h=6\, cm$ Putting them, we get $K_{ CM }=8\, cm$
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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.