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# Solved Example Problems for Radius of Gyration

Physics : Motion of System of Particles and Rigid Bodies : Radius of Gyration

Solved Example Problems for Radius of Gyration

### Example 5.15

Find the radius of gyration of a disc of mass M and radius R rotating about an axis passing through the center of mass and perpendicular to the plane of the disc.

### Solution

The moment of inertia of a disc about an axis passing through the center of mass and perpendicular to the disc is,I = ½ MR2 From the case of a rod and also a disc, we can conclude that the radius of gyration of the rigid body is always a geometrical feature like length, breadth, radius or their combinations with a positive numerical value multiplied to it.

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11th Physics : UNIT 5 : Motion of System of Particles and Rigid Bodies : Solved Example Problems for Radius of Gyration |