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A mass of 1 slug is attached to a spring whose constant is
Chapter 5, Problem 30E(choose chapter or problem)
A mass of 1 slug is attached to a spring whose constant is 5 lb/ft. Initially, the mass is released 1 foot below the equilibrium position with a downward velocity of 5 ft/s, and the subsequent motion takes place in a medium that offers a damping force that is numerically equal to 2 times the instantaneous velocity.
(a) Find the equation of motion if the mass is driven by an external force equal to \(f(t)=12 \cos 2 t+3 \sin 2 t\).
(b) Graph the transient and steady-state solutions on the same coordinate axes.
(c) Graph the equation of motion.
Text Transcription:
f(t)=12\cos2t+3\sin2t
Questions & Answers
QUESTION:
A mass of 1 slug is attached to a spring whose constant is 5 lb/ft. Initially, the mass is released 1 foot below the equilibrium position with a downward velocity of 5 ft/s, and the subsequent motion takes place in a medium that offers a damping force that is numerically equal to 2 times the instantaneous velocity.
(a) Find the equation of motion if the mass is driven by an external force equal to \(f(t)=12 \cos 2 t+3 \sin 2 t\).
(b) Graph the transient and steady-state solutions on the same coordinate axes.
(c) Graph the equation of motion.
Text Transcription:
f(t)=12\cos2t+3\sin2t
ANSWER:Step 1 of 5
We have given mass in Slugs damping coefficients and spring coefficient we asked to find the equation of the motion if the mass is driven by an external force equal to and also we have to graph the transient and steady-state solution on the same coordinate axes and equation of motion.