(a) Define simple harmonic motion (SHM).
(b) State the mathematical relation between the restoring force F and the displacement x for a particle executing SHM.
(c) Write the differential equation of motion for a body of mass m that is subjected to a restoring force of the type stated in part (b).
(d) Obtain the expression for the natural (angular) frequency ω0 of this motion in terms of the force constant k and the mass m.