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Question

A mass $m$ is attached to two strings as shown in figure. The spring constants of two springs are $\mathrm{K}_{1}$ and $\mathrm{K}_{2}$. For the frictionless surface, the time period of oscillation of mass $m$ is :

$2\pi \sqrt {{m \over {{K_1} + {K_2}}}} $
$2\pi \sqrt {{m \over {{K_1} - {K_2}}}} $
${1 \over {2\pi }}\sqrt {{{{K_1} + {K_2}} \over m}} $
${1 \over {2\pi }}\sqrt {{{{K_1} - {K_2}} \over m}} $

Solution

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