What should be the displacement of a particle executing SHM- so that its. K.E. is equal to its P.E.?

What should be the displacement of a particle executing SHM so that its KE is equal to its PE?

What should be the displacement of a particle executing SHM from the position of equilibrium so that its acceleration becomes half of its maximum acceleration?

What should be the displacement of a particle, executing SHM, from its position of equilibrium so that the velocity of the particle is half of its maximum velocity?

What should be the displacement of a particle, executing SHM, from its position of equilibrium so that the kinetic energy of the particle is half of its maximum kinetic energy?

Why are the displacement and the acceleration of a particle executing SHM always in opposite phase?

The phase difference between the displacement and the velocity of a particle executing SHM is 90^(@) ' - explain.

Write the equation of motion of a particle executing SHM if at t = 0 its displacement is maximum.

The phase difference between displacement and velocity of a particle executing S.H.M. is given by.