Question

A uniform circular disc of diameter 20 cm vibrates and at a distance of 5 cm from the center.

Calculate the time period of oscillations and the equivalent length of simple pendulum​

Answer 1

Answer:

The time period of a compound pendulum is the minimum when its length is equal to the radius of gyration about its centre of gravity , i.e., l=k. <br> Since, the moment of inertia of a disc about an axis perpendicular to its plane and passing through its centre is equal to, <br>

<br> Thus, the disc oscillate with the minimum time period when the distance of the axis of rotation from the centre is

. And the value of this minimum time period will be <br>

or

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Explanation:

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