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).
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 45E
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![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).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdf1d0bb8-6fc4-423e-9784-469bf31e55bd%2F20f08f41-8c69-4b29-9b0e-00082774aed1%2Fb3y6v3_processed.jpeg&w=3840&q=75)
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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