JA spring with a spring constant k of 100 pounds per foot is loaded with 1-pound weight and brought to equilibrium. It is then stretched an additional 1 inch and released. Find the equation of motion, the amplitude, and the period. Neglect friction. Then y(t) ctcos(40sqrt2)t+c2sin(40sqrt2)t where t is time in (seconds) and y(t) is displacement (in feet). Amplitude: 1 inch(es) Period: 2pi/(40sqrt(2)) second(s).
JA spring with a spring constant k of 100 pounds per foot is loaded with 1-pound weight and brought to equilibrium. It is then stretched an additional 1 inch and released. Find the equation of motion, the amplitude, and the period. Neglect friction. Then y(t) ctcos(40sqrt2)t+c2sin(40sqrt2)t where t is time in (seconds) and y(t) is displacement (in feet). Amplitude: 1 inch(es) Period: 2pi/(40sqrt(2)) second(s).
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:A spring with a spring constant k of 100 pounds per foot is loaded with 1-pound weight
and brought to equilibrium. It is then stretched an additional 1 inch and released. Find the
equation of motion, the amplitude, and the period. Neglect friction. Then
y(t)
c1cos(40sqrt2)t+c2sin(40sqrt2)t
where t is time in (seconds) and y(t) is displacement (in feet).
Amplitude: 1
inch(es)
Period: 2pi/(40sqrt(2))
second(s).
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