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=". (b) what is the amplitude of vibrations after a very long time?
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=". (b) what is the amplitude of vibrations after a very long time?
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Keep four decimal places and don't copy other people's answers, because they are wrong. Please answer carefully
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Step 1: Write the given data and what is to find
VIEWStep 2: Write the equation of motion of the system:
VIEWStep 3: Determine the complimentary function:
VIEWStep 4: Apply the method of undetermined coefficients to find the particular solution:
VIEWStep 5: Substitute the second derivative and the particular solution into the given differential equation:
VIEWStep 6: Apply the boundary conditions:
VIEWStep 7: Write the final equation of motion:
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