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.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
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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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