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When a 4 kg mass is attached to a spring whose constant is 100 N/m, it comes to rest in the equilibrium position. Starting at 1-0, a force equal to f(t) = 24e 4 cos 3r is applied to the system. In the absence of damping, (a) find the position of the mass when :=x. (b) what is the amplitude of vibrations after a very long time?

When a 4 kg mass is attached to a spring whose constant is 100 N/m, it comes to rest in the equilibrium position. Starting at 1-0, a force equal to f(t) = 24e 4 cos 3r is applied to the system. In the absence of damping, (a) find the position of the mass when :=x. (b) what is the amplitude of vibrations after a very long time?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Number four, keep four decimal places

Number four, keep four decimal places

Number four, keep four decimal places

#4: When a 4 kg mass is attached to a spring whose constant is 100 N/m, it comes to rest in the equilibrium position. Starting at 1=0, a force equal to f(t) = 24e 4 cos 3t 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?
Transcribed Image Text:#4: When a 4 kg mass is attached to a spring whose constant is 100 N/m, it comes to rest in the equilibrium position. Starting at 1=0, a force equal to f(t) = 24e 4 cos 3t 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?
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