Rankers Physics
Topic: Oscillation
Subtopic: Energy in SHM

A particle is executing linear simple harmonic motion of amplitude A. What fraction of the total energy is kinetic when the displacement is half the amplitude 
1/4
1/2√2
1/2
3/4

Solution:

\[ K.E= \frac{1}{2}K\left(A^{2}-x^{2} \right) \]

\[ K.E= \frac{1}{2}K\left(A^{2}-\left( \frac{A}{2}\right)^{2} \right)= \frac{3}{8} K A^{2} \]

K.E/T.E =3/4

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