First slide

Simple harmonic motion

Question

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

Easy

A

<E> = <U>
B

<E> = 2<U>
C

<E> = – 2<U>
D

<E>= – <U>

Solution

In SHM for a complete cycle average value of kinetic energy and potential energy are equal i.e. <E> = <U> $= \frac{1}{4} {mω}^{2} a^{2}$

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