The graph shows the displacement from equilibrium of a mass-spring system as a function of time after the vertically hanging system was set in motion at time t = 0. Assume that the units of time are seconds, and the units of displacement are centimeters. The first t-intercept is (0.25, 0) and the first minimum has coordinates (0.75, -2).
(a) What is the period T of the periodic motion?
T = seconds
(b) What is the frequency f in Hertz? What is the angular frequency ̉ in radians / second?
f = Hertz
̉ = radians / second
(d) Determine the amplitude A and the phase angle ̳ (in radians), and express the displacement in the form y(t) = A cos(̉t - ̳), with y in meters.
y(t) = meters
(e) With what initial displacement y(0) and initial velocity y'(0) was the system set into motion?
y(0) = meters
y'(0) = meters / second