Oscillating disk under action of point source of light.

Consider a disk of radius RR and mass mm, which is hanging in air due to the balancing of its weight by the force on it due to a point source of light having power PP kept on its axis at a distance hh from its center as shown:

Now, the disk is translated up through a small distance and released. Derive an expression for the time period of its oscillations in terms of hh and RR. Find the value of the time period in seconds\text{seconds} for h=2h = 2 meters , R=1R = 1 meters. Take the value of gg as 9.8m/s29.8 m/s^2

Assume that the disk is perfectly reflecting.

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