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 t = 0, a force equal to f(t) = 20e¬' 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? Round your answer to 4 decimals. Round your answer to 4 decimals.

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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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 t = 0, a force equal to f(t) = 20e-3 cos 5t is applied to
the system. In the absence of damping,
%3D
(a) find the position of the mass when t= T.
(b) what is the amplitude of vibrations after a very long
time?
Round your answer to 4 decimals.
Round your answer to 4 decimals.
Transcribed Image Text: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 t = 0, a force equal to f(t) = 20e-3 cos 5t is applied to the system. In the absence of damping, %3D (a) find the position of the mass when t= T. (b) what is the amplitude of vibrations after a very long time? Round your answer to 4 decimals. Round your answer to 4 decimals.
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