If the potential energy of an oscillator is `U =a +bx +cx^(2) +dx^(3)`, the term (quantity) which indicates the `SHM` of the oscillator is

The potential energy of a particle oscillating on x-axis is given as U +20 +(x-2)^(2) . The mean position is at

Derive expressions for kinetic energy and potential energy of a simple harmonic oscillator. Show that the total energy is constant. In which position of the oscillator is the energy totally kinetic.

The potential energy as a function of displacement for an oscillator u=8x^(2) joule. The magnitude of the force on the oscillator of mass 0.5 kg placed at x = 0.2 m is

At which position the potential energy of a harmonic oscillator is maximum or minimum ?

The maximum potential energy of a simple harmonic oscilator is U_("max") . The the P.E. of the oscillator when it is half way to its end point is

The potential energy of a particle oscillating on x-axis is given as U = 20 + (x-2)^(2) where .U. is in joules and .x. is in metres. Its mean position is