Energy in SHM: Practice Problem & Solution
What should be the displacement of a simple pendulum whose amplitude is A, at which potential energy is 1/4 th of the total energy ?
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:
\[ \frac{1}{2} k x^{2}=\frac{1}{4}\left( \frac{1}{2}kA^{2} \right) \]
\[ \frac{1}{2}k x^{2}=\frac{1}{4}\left(kA^{2} \right) x= \frac{A}{2} \]
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