A Problem from my book-7!

Classical Mechanics Level pending

A hollow cylinder of mass \(M\) of negligible thickness has a uniform surface density.The length of cylinder is \(L\) and Radius is \(R=16 \text{ m}\). A point sized particle is place at its mean position. Find the Time period in seconds of small oscillation of particle. Consider only Gravitational force of cylinder and particle. Neglect its motion.

Give your answer to the nearest integer.


  1. GM/ R^2 = \(10\text{ m/s}^2\)
  2. \(L/R <<1 \)

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