A force of 5 pounds stretches a spring 1 foot. A mass weighing 6.4 pounds is attached to the spring, and the system is then immersed in a medium that offers a damping forcenumerically equal to 1.2 times the instantaneous velocity.(a) Find the equation of motion if the mass is initially released from rest from a point 1 foot above the equilibrium position.x(t) =ft(b) Express the equation of motion in the form x(t)= Ae-At sin Vw2 – 2?t + pP), which is given in (23) of Section 3.8. (Round o to two decimal places.)x(t) =ft(c) Find the first time at which the mass passes through the equilibrium position heading upward. (Round your answer to three decimal places.)

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Answered: A force of 5 pounds stretches a spring…

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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