4: When a 3 kg mass is attached to a spring whose constant is 12 N/m, it comes to rest in the equilibrium position. Starting at t=0, a force equal to f(t) = 15e-5t cos 6t is applied to the system. In the absence of damping, (a) find the position of the mass when t= π. (b) what is the amplitude of vibrations after a very long time?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter12: Oscillatory Motion
Section: Chapter Questions
Problem 21P: A 50.0-g object connected to a spring with a force constant of 35.0 N/m oscillates with an amplitude...
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4: When a 3 kg mass is attached to a spring whose constant is 12 N/m, it comes to rest in the equilibrium position.
Starting at t=0, a force equal to f(t) = 15e-5t cos 6t is applied to the system. In the absence of damping,
(a) find the position of the mass when t= π.
(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 12 N/m, it comes to rest in the equilibrium position. Starting at t=0, a force equal to f(t) = 15e-5t cos 6t is applied to the system. In the absence of damping, (a) find the position of the mass when t= π. (b) what is the amplitude of vibrations after a very long time?
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