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Standard XII

Physics

Work Energy Theorem Application

A body of mas...

Question

A body of mass $m$ hangs by an inextensible string that passes over a smooth mass less pulley that is fitted with a light spring of stiffness $k$ as shown in the figure. If the body is released from rest and the spring is relaxed, find the maximum elongation of the spring.

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Solution

In this situation body oscillate about mean position.
At mean position, tension $T = m g$
$k x = 2 T = 2 m g$
$x = \frac{2 m g}{k}$
So maximum elongating in the spring is $= 2 x = \frac{4 m g}{k}$

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A body of mass m hangs by an inextensible string that passes over a smooth mass less pulley that is fitted with a light spring of stiffness k as shown in the figure. If the body is released from rest and the spring is relaxed, find the maximum elongation of the spring.

In this situation body oscillate about mean position.At mean position, tension T=mgkx=2T=2mgx=2mgkSo maximum elongating in the spring is =2x=4mgk

A body of mass $m$ hangs by an inextensible string that passes over a smooth mass less pulley that is fitted with a light spring of stiffness $k$ as shown in the figure. If the body is released from rest and the spring is relaxed, find the maximum elongation of the spring.

In this situation body oscillate about mean position.
At mean position, tension $T = m g$
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So maximum elongating in the spring is $= 2 x = \frac{4 m g}{k}$