Simple Harmonic Motion

The Problem:

A 250 g block is connected to a spring with a spring constant of 7.00 N/m. The spring has negligible mass, and the block is free to oscillate on the frictionless, horizontal surface. The block is displaced 8.00 cm from equilibrium and released from rest at t = 0 as shown.

  1. Determine the period of oscillation of the block.
  2. Determine the displacement, velocity, and acceleration of the block as functions of time.
  3. Determine the maximum velocity and maximum acceleration of the block.