2024 Re-NEET OscillationsEnergy in Simple Harmonic Motion Medium Question 1 of 6 in Energy in Simple Harmonic Motion

A particle executing simple harmonic motion with amplitude A has the same potential and kinetic energies at the displacement

A $2\sqrt{A}$
B $\dfrac{A}{2}$
C $\dfrac{A}{\sqrt{2}}$
D $A\sqrt{2}$

The answer is C.

Solution

$U=\dfrac{1}{2}kx^2$, $K=\dfrac{1}{2}kA^2-\dfrac{1}{2}kx^2$. Setting $U=K$: $\dfrac{1}{2}kx^2=\dfrac{1}{2}kA^2-\dfrac{1}{2}kx^2\Rightarrow x^2=\dfrac{A^2}{2}\Rightarrow x=\dfrac{A}{\sqrt2}$.

Concept Energy in simple harmonic motion

Energy in Simple Harmonic Motion in past papers

6 questions from this chapter have appeared across 5 exam years.