A uniform disc of mass and radius is pivoted smoothly at . If a uniform disc of mass and radius is welded at the lowest point of the disc, find the period of SHM of the system (disc + ring ).(in seconds)

A uniform disc of mass and radius is pivoted smoothly at . If a uniform disc of mass and radius is welded at the lowest point of the disc, find the period of SHM of the system (disc + ring ).(in seconds)

1 Answer - 5876 Votes

3537

**(2)**

The time period of a physical pendulum is

Here we have three quantities and

Let us calculate the quantities one by one as follows:

Finding

Where

And

Then, we have

Finding

Where

and

This gives

Finding

Substituting in the expression

After substituting the values we get