# 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.

Details:

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