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 minimum has coordinates (1.75,-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? f = Hertz radians / second W= (d) Determine the amplitude A and the phase angley (in radians), and express the displacement in the form y(t) = A cos(wty), with y in meters. y(t) = meters

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 minimum has coordinates (1.75,-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? f = Hertz radians / second W= (d) Determine the amplitude A and the phase angley (in radians), and express the displacement in the form y(t) = A cos(wty), with y in meters. y(t) = meters

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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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. 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,-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?
f =
Hertz
W =
radians / second
(d) Determine the amplitude A and the phase angle y (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
***

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