Hanging SHM

A system consisting of a rod of mass MM and length ll is pivoted at its centre PP. Two springs of spring constants k1k_1 and k2k_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 1000T1000T, if TT is the time period.


  • M=10M = 10 kg
  • k1=100k_1 = 100 N/m
  • k2=200k_2 = 200 N/m

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