Determine the amplitude A and the phase angle y (in radians), and express the displacement in the form æ(t) = A cos(wt – 7), with z in meters. z(t) = meters help (formulas) With what initial displacement y(0) and initial velocity z'(0) was the system set into motion? z(0) = meters help (numbers) z'(0) = meters / second help (numbers)

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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.
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.
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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 minimum has coordinates (1.75, -2).
What is the period T of the periodic motion?
T = 4
seconds help (numbers)
What is the frequency f in Hertz? What is the angular frequency w in radians / second?
f = 0.25
Hertz help (numbers)
w = 1.570796327
radians / second help (numbers)
Determine the amplitude A and the phase angle y (in radians), and express the displacement in the form 1(t) = A cos(wt – 7), with z in meters.
프(t) =
%3D
meters help (formulas)
With what initial displacement y(0) and initial velocity r'(0) was the system set into motion?
z(0) =
meters help (numbers)
r'(0) =
meters / second help (numbers)
Transcribed Image Text:3 -1 -2 -3 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 minimum has coordinates (1.75, -2). What is the period T of the periodic motion? T = 4 seconds help (numbers) What is the frequency f in Hertz? What is the angular frequency w in radians / second? f = 0.25 Hertz help (numbers) w = 1.570796327 radians / second help (numbers) Determine the amplitude A and the phase angle y (in radians), and express the displacement in the form 1(t) = A cos(wt – 7), with z in meters. 프(t) = %3D meters help (formulas) With what initial displacement y(0) and initial velocity r'(0) was the system set into motion? z(0) = meters help (numbers) r'(0) = meters / second help (numbers)
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