Hanging SHM

A system consisting of a rod of mass \(M\) and length \(l\) is pivoted at its centre \(P\). Two springs of spring constants \(k_1\) and \(k_2\) respectively are attached as shown. They are relaxed, when the rod is horizontal. What is the time period of the rod if it is given slight angular displacement.

Find \(1000T\), if \(T\) is the time period.


  • \(M = 10\) kg
  • \(k_1 = 100\) N/m
  • \(k_2 = 200\) N/m

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