A physical pendulum shown in Fig. is made up of a rod 60 cm long with mass 0.50 kg and a disk of 3.0 cm radius with mass 0.60 kg. Find the period of this pendulum.

Answer

1.5 s.

Explanation

The moment of inertia about the axis is
`I=(1)/(3)m_(1)l^(2)+(1)/(2)m_(2)r^(2)+m_(2)(l+r)^(2)`
The distance between the centre of mass and the axis is
`a=(1//2m_(1)l+m_(2)(l+r))/(m_(1)+m_(2))`
Hence we find the period.