First slide

Simple harmonic motion

Question

For a particle executing simple harmonic motion, the kinetic energy K is given by $K = K_{o} \cos^{2} ωt$ . The maximum value of potential energy is

Moderate

A

$K_{0}$
B

Zero
C

$\frac{K_{0}}{2}$
D

Not obtainable

Solution

Since maximum value of $\cos^{2} ωt$ is 1.
$∴ K_{\max} = K_{o} \cos^{2} ωt = K_{o}$
Also $K_{\max} = {PE}_{\max} = K_{o}$
(Assuming minimum PE = 0)

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