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A mass of 1 slug, when attached to a spring, stretches it
Chapter 5, Problem 31E(choose chapter or problem)
A mass of 1 slug, when attached to a spring, stretches it 2 feet and then comes to rest in the equilibrium position. Starting at t = 0, an external force equal to \(f(t)=8 \sin 4 t\) is applied to the system. Find the equation of motion if the surrounding medium offers a damping force that is numerically equal to 8 times the instantaneous velocity.
Text Transcription:
f(t)=8 \sin 4 t
Questions & Answers
QUESTION:
A mass of 1 slug, when attached to a spring, stretches it 2 feet and then comes to rest in the equilibrium position. Starting at t = 0, an external force equal to \(f(t)=8 \sin 4 t\) is applied to the system. Find the equation of motion if the surrounding medium offers a damping force that is numerically equal to 8 times the instantaneous velocity.
Text Transcription:
f(t)=8 \sin 4 t
ANSWER:Step 1 of 3
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.