Pull, and let go

Find the Time Period of oscillations (in sec\displaystyle \text{sec}) for the arrangement as shown in the figure.

Details and Assumptions:

  • The pulleys are smooth and massless.
  • k1=100N/m\displaystyle k_1 = 100 N/m
  • k2=200N/m\displaystyle k_2 = 200 N/m
  • M=4kg\displaystyle M = 4 kg
  • g=9.8m/s2\displaystyle g = 9.8 m/s^2
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