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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. 0.03 -0.02 0.01 t AA -0.01 -0.02 -0.03 Assume that the units of time are seconds, and the units of displacement are meters. The first t-intercept is (0.25, 0) and the first minimum has coordinates (1.25, -0.04). What is the period T of the periodic motion? T= 4 seconds help (numbers) What is the frequency of in Hertz? What is the angular frequency wo in radians / second? = 0.25 Hertz help (numbers) f = wα = 1.57 radians / second help (numbers) Determine the amplitude C and the phase angle y (in radians), and express the displacement in the form x(t) = C cos(wot — y), with x 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) = meters help (numbers) x'(0) = -0.058 meters / second help (numbers)

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. 0.03 -0.02 0.01 t AA -0.01 -0.02 -0.03 Assume that the units of time are seconds, and the units of displacement are meters. The first t-intercept is (0.25, 0) and the first minimum has coordinates (1.25, -0.04). What is the period T of the periodic motion? T= 4 seconds help (numbers) What is the frequency of in Hertz? What is the angular frequency wo in radians / second? = 0.25 Hertz help (numbers) f = wα = 1.57 radians / second help (numbers) Determine the amplitude C and the phase angle y (in radians), and express the displacement in the form x(t) = C cos(wot — y), with x 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) = meters help (numbers) x'(0) = -0.058 meters / second help (numbers)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 44E
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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. 0.03 -0.02 0.01 t AA -0.01 -0.02 -0.03 Assume that the units of time are seconds, and the units of displacement are meters. The first t-intercept is (0.25, 0) and the first minimum has coordinates (1.25, -0.04). What is the period T of the periodic motion? T= 4 seconds help (numbers) What is the frequency of in Hertz? What is the angular frequency wo in radians / second? = 0.25 Hertz help (numbers) f = wα = 1.57 radians / second help (numbers) Determine the amplitude C and the phase angle y (in radians), and express the displacement in the form x(t) = C cos(wot — y), with x 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) = meters help (numbers) x'(0) = -0.058 meters / second help (numbers)
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. 0.03 -0.02 0.01 t AA -0.01 -0.02 -0.03 Assume that the units of time are seconds, and the units of displacement are meters. The first t-intercept is (0.25, 0) and the first minimum has coordinates (1.25, -0.04). What is the period T of the periodic motion? T= 4 seconds help (numbers) What is the frequency of in Hertz? What is the angular frequency wo in radians / second? = 0.25 Hertz help (numbers) f = wα = 1.57 radians / second help (numbers) Determine the amplitude C and the phase angle y (in radians), and express the displacement in the form x(t) = C cos(wot — y), with x 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) = meters help (numbers) x'(0) = -0.058 meters / second help (numbers)
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