Question

A body performs harmonic oscillations along the straight line $ABCDE$ with $C$ as a mid-point. of $AE$. Its kinetic energies at $B$ and $D$ are each one-fourth of its maximum value. If $AE=2R$, the distance between $B$ and $D$ is:

Answer 1

Given,

$AE=2R$

From the figure it is clear that, $BD=\frac{AE}{2}=\frac{2R}{2}=R$

Hence, BD length is $R$