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 (1.25, -3). What is the period T of the periodic mation? т seconds heip (numbers) What is the frequency f in Hertz? What is the angular frequency w in radians / second? J= 0.25 Hertz help (numbers) w= 1.57 radians / second heip (numbers) Determine the amplitude A and the phase angle y (in radians), and express the displacement in the form z(t) = A cos(at - ), vith z in meters. z(t) = meters heip (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) %3!
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 (1.25, -3). What is the period T of the periodic mation? т seconds heip (numbers) What is the frequency f in Hertz? What is the angular frequency w in radians / second? J= 0.25 Hertz help (numbers) w= 1.57 radians / second heip (numbers) Determine the amplitude A and the phase angle y (in radians), and express the displacement in the form z(t) = A cos(at - ), vith z in meters. z(t) = meters heip (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) %3!
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:The graph shows the displacement from equilibrlum of a mass-spring system as a function of time after the vertically hanging system was set In motion at
time t = 0.
2.
4
6
-1
-3
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
(1.25, – 3).
What is the period T of the periodic mation?
T = 4
seconds help (numbers)
What is the frequency f in Hertz? What is the angular frequency w in radians / second?
J = 0.25
Hertz help (numbers)
1.57
radians / second heip (numbers)
Determine the amplitude A and the phase angle y (in radians), and express the displacement in the form a(t) = A cos(ut – y), with ar in meters.
r(t) =
meters help (formulas)
With what initial displacement y(0) and initial velocity z'(0) was the systerm set into motion?
2(0)
meters help (numbers)
z'(0) =
meters / second help (numbers)
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