An example of simple harmonic motion. A mass of 0.300 kg is placed on a vertical spring and the spring stretches by 10.0 cm. It is then pulled down an additional 5.00 cm and then released. Find (a) the spring constant k, (b) the angular frequency w, (c) the frequency f, (d) the period T, (e) the maximum velocity of the vibrating mass, (f) the maximum acceleration of the mass, (g) the maximum restoring force, (h) the velocity of the mass at x = 2.00 cm, and (i) the equation of the displace- ment, velocity, and acceleration at any time t. Solution