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Question: If \<E\> and \<U\> denote the average kinetic and the average potential energies respectively of mas...

If <E> and <U> denote the average kinetic and the average potential energies respectively of mass describing a simple harmonic motion, over one period, then the correct relation is

A

<E> = <U>

B

<E> = 2<U>

C

<E> = – 2<U>

D

<E>= – <U>

Answer

<E> = <U>

Explanation

Solution

In SHM for a complete cycle average value of kinetic energy and potential energy are equal i.e.

<E> = <U> =14mω2a2= \frac{1}{4}m\omega^{2}a^{2}