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In the figure...

Question

In the figure shown, a mass $m$ hangs by a string attached to mass $M$ .
What is the frequency of oscillation ?

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Solution

Frequency of oscillation= $f = \frac{1}{2 π} \sqrt{\frac{k}{T o t a l M a s s}}$

total mass= 0.5kg+0.25kg=0.75kg

k= 50 N/m

$f = \frac{1}{2 π} \sqrt{\frac{50}{0.75}} = 1.3 H z$

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