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. 1 -1 -2 -3 * t 2 3 6 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, -3). What is the period T of the periodic motion? T = ☐ S seconds help (numbers) What is the frequency of in Hertz? What is the angular frequency win radians / second? f W= Hertz help (numbers) radians/second help (numbers) Determine the amplitude A and the phase angle Y (in radians), and express the displacement in the form x(t) = A cos(wt - y), with a in meters. x(t) = ☐ meters help (formulas) With what initial displacement y(0) and initial velocity x' (0) was the system set into motion? x(0) = = x'(0) = = meters help (numbers) meters/second help (numbers) Book: Section 2.4 of Notes on Diffy Qs

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section: Chapter Questions
Problem 77RE
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Question
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.
1
-1
-2
-3
*
t
2
3
6
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, -3).
What is the period T of the periodic motion?
T = ☐ S
seconds help (numbers)
What is the frequency of in Hertz? What is the angular frequency win radians / second?
f
W=
Hertz help (numbers)
radians/second help (numbers)
Determine the amplitude A and the phase angle Y (in radians), and express the
displacement in the form x(t) = A cos(wt - y), with a in meters.
x(t) = ☐ meters help (formulas)
With what initial displacement y(0) and initial velocity x' (0) was the system set into motion?
x(0) =
=
x'(0) =
=
meters help (numbers)
meters/second help (numbers)
Book: Section 2.4 of Notes on Diffy Qs
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. 1 -1 -2 -3 * t 2 3 6 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, -3). What is the period T of the periodic motion? T = ☐ S seconds help (numbers) What is the frequency of in Hertz? What is the angular frequency win radians / second? f W= Hertz help (numbers) radians/second help (numbers) Determine the amplitude A and the phase angle Y (in radians), and express the displacement in the form x(t) = A cos(wt - y), with a in meters. x(t) = ☐ meters help (formulas) With what initial displacement y(0) and initial velocity x' (0) was the system set into motion? x(0) = = x'(0) = = meters help (numbers) meters/second help (numbers) Book: Section 2.4 of Notes on Diffy Qs
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