Write the equation of motion of a particle executing simple harmonic motion, whose displacement is maximum at t = 0.

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

Show that the equation x=Asinomegat represents a simple harmonic motion.

If the displacement and the restoring force acting on a particle executing simple harmonic motion are x and F respectively, then F=-kx . Here the negative sign on the right hand side indicates that

If the displacement and the restoring force acting on a particle executing simple harmonic motion are x and F respectively, then F = -kx. Here the negative sign on the right hand side indicates that

Four different expressions for displacement of a particle executing simple harmonic motion are printed on a book: Here a = maximum displacement of the particle , v =its velocity and T = its time period. Check from dimensional analysis which of these expressions involve (s) some printing mistake.

The potential energy of a particle of mass 0.02 kg moving along x -axis is given by V = Ax(x - 4) J where x is in metres and A is a constant. Which of the following is/are correct statement (s)? (A) The particle is acted upon by a constant force. (B) The particle executes simple harmonic motion. (C) The speed of the particle is maximum at x = 2 m. (D) The period of oscillation of the particle is pi/5 sec.

Derive an expression for the total energy of a particle undergoing simple harmonic motion.

At which points of its path, for a particle executing simple harmonic motion, will its velocity, acceleration, kinetic energy and potential energy be zero?