Problem #4: When a 5 kg mass is attached to a spring whose constant is 20 N/m, it comes to rest in the equilibrium position. Starting at /= 0, a force equal to f(n) = 20e5r cos 2r is applied to the system. In the absence of damping, (a) find the position of the mass when t=. (b) what is the amplitude of vibrations after a very long time?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter6: Vector Spaces
Section6.7: Applications
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Number four, keep four decimal places

Number four, keep four decimal places

Number four, keep four decimal places

Problem #4: When a 5 kg mass is attached to a spring whose constant is 20 N/m, it comes to rest in the equilibrium position.
Starting at = 0, a force equal to f() = 20e5 cos 2r is applied to the system. In the absence of damping,
(a) find the position of the mass when = 7.
(b) what is the amplitude of vibrations after a very long time?
Transcribed Image Text:Problem #4: When a 5 kg mass is attached to a spring whose constant is 20 N/m, it comes to rest in the equilibrium position. Starting at = 0, a force equal to f() = 20e5 cos 2r is applied to the system. In the absence of damping, (a) find the position of the mass when = 7. (b) what is the amplitude of vibrations after a very long time?
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