A block of mass $M$ is attached to the lower end of a vertical spring. The spring is hung from a cei

Question

A block of mass $M$ is attached to the lower end of a vertical spring. The spring is hung from a ceiling and has force constant value $k$. The mass is released from rest with the spring initially unstretched. The maximum extension produced in the length of the spring will be\

Professor PC Thomas Classes · Answer

(a) : When the mass attached to a spring fixed at the other end is allowed to fall suddenly, it extends the spring by $x$. Potential energy lost by the mass is gained by the spring.\ $M g x=\frac{1}{2} k x^{2} \Rightarrow x=\frac{2 M g}{k}$.\