First slide

Simple hormonic motion

Question

For a particle executing S.H.M., the kinetic energy K is given by $K = K_{0} \cos^{2} ωt$ . The maximum value of potential energy is

Moderate

A

$K_{0}$
B

zero
C

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

not obtainable

Solution

In S.H.M. if rest energy is zero
max P.E. = max. K.E. = $K_{0} {(\cos^{2} ωt)}_{\max}$
= $K_{0} \times 1 = K_{0}$

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