List of top Physics Questions on Energy in simple harmonic motion asked in MHT CET

Potential energy of a particle performing linear S.H.M is \(0.1\pi^{2}x^{2}\) joule. If the mass is \(20\,g\), what is the frequency of S.H.M?

Calculate the ratio of potential energy to kinetic energy at time \(t=\dfrac{T}{6}\) for a particle starting SHM from its mean position.

A particle starts oscillating simple harmonically from its mean position with time period \(T\); find the ratio of potential energy to kinetic energy at time \(t = \frac{T}{6}\).

A particle in SHM has a speed of \(6\,cm/s\) at the mean position and an amplitude of \(4\,cm\). Find its position when its velocity is \(2\,cm/s\).

Find the ratio of K.E. and P.E. when a particle performs SHM when it is at \( \frac{1}{n} \) times of its amplitude from the mean position.

$ U $ is the $ PE $ of an oscillating particle and $ F $ is the force acting on it at a given instant. Which of the following is true ?

The potential energy of a simple harmonic oscillator, when the particle is half way to its end point is (where $ E $ is the total energy)