Rankers Physics

Energy in SHM: Practice Problem & Solution

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

Short Solution (Best for NEET):

To solve this problem, we apply the core principles of Energy in SHM. Understanding the underlying formula is key to arriving at the correct answer below:

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

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

K.E/T.E =3/4

Leave a Reply

Your email address will not be published. Required fields are marked *