COMEDK · Physics · 15. Oscillations
A system containing a ball is oscillating on a frictionless horizontal plane. The position of the mass when its potential energy and its kinetic energy both are equal, is (let \(A\) is the amplitude of oscillation)
- A \(A\)
- B \(A / \sqrt{2}\)
- C \(A / 2\)
- D \(A / \sqrt{3}\)
Answer & Solution
Correct Answer
(B) \(A / \sqrt{2}\)
Step-by-step Solution
Detailed explanation
Kinetic energy of the system in SHM, \[ \mathrm{KE}=\frac{1}{2} m \omega^{2}\left(A^{2}-x^{2}\right) \] Potential energy of the system in \(\mathrm{SHM}, \mathrm{PE}=\frac{1}{2} m \omega^{2} x^{2}\) According to question, \(\mathrm{PE}=\mathrm{KE}\)…
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