A particle executes simple harmonic motion with an amplitude of 10 cm. At what distance from the mean position are the kinetic and potential energies equal?

5√2 cm

Let’s assume at the distance x from its mean position, kinetic energy is equal to potential energy.

Now,

We have two formulae.

Since, they are equal at a distance x.

At this point, Kinetic and potential energy will be equal.

Now,

On putting the value of amplitude we get,

1