Suppose that the mass in a mass-spring-dashpot system with mass m = 25, damping constant c = 60, and spring constant k = 180 is set in motion with (0) 16 and '(0) = 47. (a) Find the position function x(t) in the form x(t)= - cost 3√19 5 3√19 5 (b) Find the quasi-period of the oscillations and the equations of the "envelope curves" shown in the figure below, which graphs the motion of the mass in the system described above. Quasi-period of Oscillations = Equation of Top "Envelope Curve" = Equation of Bottom "Envelope Curve" =
Suppose that the mass in a mass-spring-dashpot system with mass m = 25, damping constant c = 60, and spring constant k = 180 is set in motion with (0) 16 and '(0) = 47. (a) Find the position function x(t) in the form x(t)= - cost 3√19 5 3√19 5 (b) Find the quasi-period of the oscillations and the equations of the "envelope curves" shown in the figure below, which graphs the motion of the mass in the system described above. Quasi-period of Oscillations = Equation of Top "Envelope Curve" = Equation of Bottom "Envelope Curve" =
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Math 216 Homework webHW6, Problem 7
=
Suppose that the mass in a mass-spring-dashpot system with mass m = 25, damping constant c = 60, and spring constant k
with x (0) = 16 and â'(0) = 47.
(a) Find the position function x(t) in the form
x(t)
cos(
3√ 19
5
t -
Quasi-period of Oscillations =
3√ 19
5
Equation of Top "Envelope Curve" =
(b) Find the quasi-period of the oscillations and the equations of the "envelope curves" shown in the figure below, which graphs the motion of the mass
in the system described above.
)
Equation of Bottom "Envelope Curve" =
180 is set in motion
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