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
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
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