A mass of 0.18 kg is attached to a spring and set into oscillation on a horizontal frictionless surface. The simple harmonic motion of the mass is described by x(t) = (0.38 m)cos[(6 rad/s)t]. Determine the following.
(a) Amplitude of oscillation for the oscillating mass m.
(b) Force constant for the spring N/m.
(c) Position of the mass after it has been oscillating for one half a period m.
(d) Position of the mass one-third of a period after it has been released m.
(e) Time it takes the mass to get to the position x = -0.10 m after it has been released s.