4) A mass of 2 kg is attached to a spring and allowed to oscillate on a flat, horizontal, frictionless surface. It is pulled to a displacement of +0.2 meters from equilibrium and released. It oscillates left and right with a frequency of 0.6 Hz.
a) Calculate the period of the oscillation.
b) The period of the oscillation is T. Determine the position of the mass after time ½ T has passed.
c) Determine the position of the mass after time ¾ T has passed.
d) Calculate the spring constant of the spring.
e) Calculate the maximum speed of the mass as it oscillates.
f) Calculate the maximum acceleration of the mass as it oscillates.
g) On your paper draw a set of axes like the one shown below. On those axes, graph the position of the oscillator vs time. Put a value at each place that the line touches either axis.
h) On your paper draw a set of axes like the one shown below. On those axes, graph the velocity of the oscillator vs time. Put a value at each place that the line touches either axis.