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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 t=0, a force equal to f(t) = 12e cos 4t is applied to the system. In the absence of damping, -5t (a) find the position of the mass when t=ä. (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 t=0, a force equal to f(t) = 12e cos 4t is applied to the system. In the absence of damping, -5t (a) find the position of the mass when t=ä. (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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When a 4 kg mass is attached to a spring whose constant is 100 N/m, it comes to rest in the equilibrium position -5t Starting at t = 0, a force equal to ƒ(t) = 12e¯ cos 4t is applied to the system. In the absence of damping, (a) find the position of the mass when t=ä. (b) what is the amplitude of vibrations after a very long time?
Transcribed Image Text:When a 4 kg mass is attached to a spring whose constant is 100 N/m, it comes to rest in the equilibrium position -5t Starting at t = 0, a force equal to ƒ(t) = 12e¯ cos 4t is applied to the system. In the absence of damping, (a) find the position of the mass when t=ä. (b) what is the amplitude of vibrations after a very long time?
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