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A 1 kg mass is attached to a spring with a spring constant k = 9N/m. A periodic force F(t) = cos(wt) (in Newtons) was then applied to the mass. The figure below shows a graph describing the mass's motion, y(t), resulting from the application of the force: y 2 1 -1 -2 4 www 6 8 10 12 (a) Write down the initial value problem describing the mass's motion, (b) Determine the value w appearing in F(t) = cos(wt). t

A 1 kg mass is attached to a spring with a spring constant k = 9N/m. A periodic force F(t) = cos(wt) (in Newtons) was then applied to the mass. The figure below shows a graph describing the mass's motion, y(t), resulting from the application of the force: y 2 1 -1 -2 4 www 6 8 10 12 (a) Write down the initial value problem describing the mass's motion, (b) Determine the value w appearing in F(t) = cos(wt). t

Advanced Engineering Mathematics
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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A 1 kg mass is attached to a spring with a spring constant k = 9N/m. A periodic force F(t) = cos(wt) (in Newtons) was then applied to the mass. The figure below shows a graph describing the mass's motion, y(t), resulting from the application of the force: 2 1 y -1 -2 www 4 6 8 10 (a) Write down the initial value problem describing the mass's motion, (b) Determine the value w appearing in F(t) = cos(wt). 12 t
Transcribed Image Text:A 1 kg mass is attached to a spring with a spring constant k = 9N/m. A periodic force F(t) = cos(wt) (in Newtons) was then applied to the mass. The figure below shows a graph describing the mass's motion, y(t), resulting from the application of the force: 2 1 y -1 -2 www 4 6 8 10 (a) Write down the initial value problem describing the mass's motion, (b) Determine the value w appearing in F(t) = cos(wt). 12 t
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