Question

A mass oscillates on a horizontal spring in a simple harmonic motion. It is observed that the duration of one full oscillation cycle is 0.50 π seconds, and that the maximal displacement of the oscillator from the equilibrium is 12.0 cm. Let time instant taken as t = 0.00 sec correspond to the moment when the mass is at the location 10.0 cm to the left of the equilibrium, and moving to the left.

1. Find oscillator’s velocity and acceleration at t = 0.00 sec.

2. Obtain the equations for ?? (?) and ?? (?), making sure that numerical values for ?, ? and ?0 are substituted in. Show all relevant work in determining ?0.

Answer 1