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 (0.75, 0) and the first maximum has coordinates (1.25, 4). (a) What is the period T of the periodic motion? T seconds =
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 (0.75, 0) and the first maximum has coordinates (1.25, 4). (a) What is the period T of the periodic motion? T seconds =
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Transcribed Image Text: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 (0.75, 0) and the first maximum has
coordinates (1.25, 4).
(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 w in radians / second?
Hertz
f=
=
W =
radians / second
(d) Determine the amplitude A and the phase angley (in radians),
and express the displacement in the form y(t) = A cos(wt — y),
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
Transcribed Image Text:3
-1
-2
-3
y
1
2
3
4
5
6
t
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