Consider the situation shown in figure. 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.

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Solution

$m g = T$
$\Rightarrow T = k x$
$∴ k x = m g$
$\Rightarrow x = \frac{m g}{k}$

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Consider the situation shown in figure. 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.

mg=T⇒T=kx∴kx=mg⇒x=mgk

$m g = T$
$\Rightarrow T = k x$
$∴ k x = m g$
$\Rightarrow x = \frac{m g}{k}$