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Solve the following :


Consider the situation shown in figure (8-E8). Initially the spring is unstretched when the system is released from rest. Assuming no friction in the pulley, find the maximum elongation of the spring.


Solution 45

From figure

$\operatorname{mgx}=\frac{2}{2} \mathrm{x}^{2}$

$\mathrm{X}=\frac{2 m g}{R}$

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