Oscillating disk under action of point source of light.

Consider a disk of radius \(R\) and mass \(m\), 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 \(P\) kept on its axis at a distance \(h\) 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 \(h\) and \(R\). Find the value of the time period in \(\text{seconds}\) for \(h = 2\) meters , \(R = 1 \) meters. Take the value of \(g\) as \(9.8 m/s^2\)

Assume that the disk is perfectly reflecting.

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