HC Verma - Concepts of Physics Part 1

Book: HC Verma - Concepts of Physics Part 1

Chapter: 12. Simple Harmonic Motion

Subject: Physics - Class 11th

Q. No. 12 of Exercises

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A body of mass 2 kg suspended through a vertical spring executes simple harmonic motion of period 4s. If the oscillations are stopped and the body hangs in equilibrium, find the potential energy stored in the spring.

We know, time period of simple harmonic motion is

Given , we get

But force F is proportional to displacement x,

Therefore, Potential energy is given by

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