A particle executes S.H.M. of period 8 secons. After what time of its passing through the mean position will the energy be half kinetic and half potential?

When the potential energy of a particle executive S.H.M. is one-fourth of the maximum value during the oscillation, its displacement from the equilibrium position in terms of its amplitude a is

Derive expressoin for kinetic energy, potential energy and total energy of a body executing simple harmonic motion. In what positions the energy is wholly kinetic energy or wholly potential energy?

calculate velocity of a particle executing S.H.M and show that it is maximum at the mean position and minimum (i.e. zero) at the extreme position.

Water in U-tube executes S.H.M. Will the time period for mercury filled up to the same height in the U-tube be lesser or greater than that in case of water?

At what points is the energy entirely potential and entirely kinetic in S.H.M. ?

A radioactive sample decays by simultaneous emission of two particles having respective half-lives of 1,620 years and 810 years. After what time, one fourth of the sample will be left behind?