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Three masses are connected with a spring & a string as shown. They are initially at rest, with spring at its natural length & string too at its original length. Find the maximum extension in the spring after the forces start acting as shown :

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$\frac{4 F}{K}$

$\frac{F}{2 K}$

$\frac{F}{K}$

$\frac{2 F}{K}$

answer is B.

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Detailed Solution

$F (x_{1} + x_{2}) = \frac{1}{2} k {(x_{1} + x_{2})}^{2} \frac{2 F}{k} = (x_{1} + x_{2})$

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