Question

Find the Maximum Displacement of the block m.

see for figure​

Answer 1

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${\bold{\underline{\red{Explanation\:in\: Attachment}}}}$

Answer 2

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$\large\mathcal\red{solution}$

let the spring constant is =k

now .... tension(T) on the string is

$\frac{2Mm}{M+m}$

now ....This tension will work on the pulli..,

now ,..now the ...total weight is [M+m]g. Newton

F=T+[M+m]g=kx

$x = \frac{ (\frac{2Mm}{M + m}) + (M + m)}{k}$

$\large\mathcal\red{hope\: this \: helps \:you......}$