Mathematics, 01.12.2021 02:30 faithtunison

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 =0. Assume that the units of time are seconds, and the units of displacement are centimeters. The first -intercept is (0.25,0) and the first maximum has coordinates (0.75,3). (a) What is the period of the periodic motion?
=
2
seconds

(b) What is the frequency in Hertz? What is the angular frequency in radians / second?
=
1/2
Hertz
=
pi
radians / second

(d) Determine the amplitude and the phase angle (in radians), and express the displacement in the form ()=cos(−), with in meters.
()=
meters

(e) With what initial displacement (0) and initial velocity ′(0) was the system set into motion?
(0)=
meters
′(0)=
meters / second

The graph shows the displacement from equilibrium of a mass-spring system as a function of time aft

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