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A 5-kg mass is attached to a spring with a spring constant of k = 20 N/m. The mass is set in motior from the equilibrium position with an initial velocity of 10 m/s. (a) Write an IVP to represent the spring-mass system. (b) Solve for r(t) and identify the natural frequency wn.

A 5-kg mass is attached to a spring with a spring constant of k = 20 N/m. The mass is set in motior from the equilibrium position with an initial velocity of 10 m/s. (a) Write an IVP to represent the spring-mass system. (b) Solve for r(t) and identify the natural frequency wn.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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use ordinary partial diff math to slove question 4 both a and b.

4. A 5-kg mass is attached to a spring with a spring constant of k = 20 N/m. The mass is set in motion from the equilibrium position with an initial velocity of 10 m/s. (a) Write an IVP to represent the spring-mass system. (b) Solve for æ(t) and identify the natural frequency wp.
Transcribed Image Text:4. A 5-kg mass is attached to a spring with a spring constant of k = 20 N/m. The mass is set in motion from the equilibrium position with an initial velocity of 10 m/s. (a) Write an IVP to represent the spring-mass system. (b) Solve for æ(t) and identify the natural frequency wp.
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