Question

1) A 2.0kg mass is fastened to the end of a spring with a spring constant of 200 N/m. At t = 0 the mass is at equilibrium position and has a velocity of +1.0m/s.

a) What is the angular frequency, frequency and period (include units)?

b)From the initial conditions, calculate the amplitude and phase angle of the oscillation, then express its displacement, velocity and acceleration as functions of time. Remember that the amplitude is positive.

c) Tabulate the displacement, velocity, acceleration, kinetic energy, potential energy and mechanical energy at t=0,T/3,T/2,3T/4.

2) Answer the same question as in the previous problem if at t=0, the mass is at -5cm and has a velocity of -0.5 root3 m/s.

Answer 1

Here we apply concept of simple harmonic motion of mass spring oscillations.