When a 3 kg mass is attached to a spring whose constant is 147 N/m, it comes to rest in the equilibrium position. Starting at t=0, a force equal to f(t) = 6e-31 cos 5t is applied to the system. In the absence of damping, (a) find the position of the mass when t=a. (b) what is the amplitude of vibrations after a very long time?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 18EQ
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#4: When a 3 kg mass is attached to a spring whose constant is 147 N/m, it comes to rest in the equilibrium position.
Starting at t=0, a force equal to f(t) = 6e-³1 cos 5t is applied to the system. In the absence of damping,
(a) find the position of the mass when t = t.
(b) what is the amplitude of vibrations after a very long time?
Transcribed Image Text:#4: When a 3 kg mass is attached to a spring whose constant is 147 N/m, it comes to rest in the equilibrium position. Starting at t=0, a force equal to f(t) = 6e-³1 cos 5t is applied to the system. In the absence of damping, (a) find the position of the mass when t = t. (b) what is the amplitude of vibrations after a very long time?
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