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  • A mass M is suspended from a spring of negligible massThe spring is pulled a little and then released so that the mass excut

A mass M is suspended from a spring of negligible mass . The spring is pulled a little  and then released so that the mass excute simple harmonic motion with time period T . If the mass is increased by m then the time period become   \frac{5}{4}T  .  The ratio  \frac{m}{M}  is 

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T^2\propto \frac{M}{K}\\\therefore \frac{(M+m)}{M}=\frac{25}{16}\\\frac{M}{m}=\frac{9}{16}

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so \frac{m}{M}=16/9

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Safeer PP

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