Question

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

Answer 1

Mass of the body =m

Let the elongation be x

So, $\frac{1}{2}k{x}^2=mgx$

$\Rightarrow x=2mg/k$