Question:

The ratio of the radii of gyration of a circular disc about a tangential axis in the plane of the disc and of a circular ring of the same radius about a tangential axis in the plane of the ring is

Updated On: Oct 7, 2023
  • 2 : 1

  • 5 : 6

  • 2 : 3

  • 1 : 2

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The Correct Option is B

Solution and Explanation

The ratio of the radii of gyration of a circular disc about a tangential axis in the plane of the disc and of a circular ring of the same radius about a tangential axis in the plane of the ring is 2 : 1.
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Concepts Used:

Rotational Motion

Rotational motion can be defined as the motion of an object around a circular path, in a fixed orbit.

Rotational Motion Examples:

The wheel or rotor of a motor, which appears in rotation motion problems, is a common example of the rotational motion of a rigid body.

Other examples:

  • Moving by Bus
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  • Dog walking
  • A person shaking the plant.
  • A stone falls straight at the surface of the earth.
  • Movement of a coin over a carrom board 

Types of Motion involving Rotation:

  1. Rotation about a fixed axis (Pure rotation)
  2. Rotation about an axis of rotation (Combined translational and rotational motion)
  3. Rotation about an axis in the rotation (rotating axis)