8 A mass weighing 16 pounds stretches a spring feet. The mass is initially released from rest from point 2 feet below the equilibrium position, and the subsequent motion takes place in a medium that offers a damping force that is numerically equal to the instantaneous velocity. Find the equation of motion x(t) if the mass is driven by an external force equal to ft) 20 cos(3t). (Use g = 32 ft/s² for the acceleration due to gravity.)
8 A mass weighing 16 pounds stretches a spring feet. The mass is initially released from rest from point 2 feet below the equilibrium position, and the subsequent motion takes place in a medium that offers a damping force that is numerically equal to the instantaneous velocity. Find the equation of motion x(t) if the mass is driven by an external force equal to ft) 20 cos(3t). (Use g = 32 ft/s² for the acceleration due to gravity.)
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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![9. T
A mass weighing 16 pounds stretches a spring feet. The mass is initially released from rest from a point 2 feet below the equilibrium position, and the subsequent motion takes place in a medium that offers a damping force that is
numerically equal to the instantaneous velocity. Find the equation of motion x(t) if the mass
(5)
driven by an external force equal to f(t) = 20 cos(3t). (Use g = 32 ft/s² for the acceleration due to gravity.)
ft](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9666b966-f1db-4d83-95d1-a20e3a40e072%2F374377d2-30f8-4477-ba20-1a7ba9290583%2Fttwr6e_processed.jpeg&w=3840&q=75)
Transcribed Image Text:9. T
A mass weighing 16 pounds stretches a spring feet. The mass is initially released from rest from a point 2 feet below the equilibrium position, and the subsequent motion takes place in a medium that offers a damping force that is
numerically equal to the instantaneous velocity. Find the equation of motion x(t) if the mass
(5)
driven by an external force equal to f(t) = 20 cos(3t). (Use g = 32 ft/s² for the acceleration due to gravity.)
ft
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