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Applications of SHM

Question

A mass M is suspended from a spring of negligible mass. The spring is pulled a little and then released so that the mass executes SHM of time period T. If the mass is increased by m, the time period becomes 5 T/3. Then the ratio of m/M is

Moderate
Solution

T=2πMk and 5T3=2πM+mk  After simplifying above equations, we get  mM=169



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