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A mass weighing 16 pounds stretches a spring feet. The mass is initially released from rest from a point 8 feet below the equilibrium position, and the subsequent motion takes place in a medium that offers a damping force that numerically equal to the instantaneous velocity. Find the equation motion x(t) if the mass is driven by an external force equal to f(t) = 25 cos(3t). (Use g = 32 ft/s? for the acceleration due to gravity.) x(t) = 16 Cos (4t) x ft

A mass weighing 16 pounds stretches a spring feet. The mass is initially released from rest from a point 8 feet below the equilibrium position, and the subsequent motion takes place in a medium that offers a damping force that numerically equal to the instantaneous velocity. Find the equation motion x(t) if the mass is driven by an external force equal to f(t) = 25 cos(3t). (Use g = 32 ft/s? for the acceleration due to gravity.) x(t) = 16 Cos (4t) x ft

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 18EQ
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A mass weighing 16 pounds stretches a spring feet. The mass is initially released from rest from a point 8 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 f(t) = 25 cos(3t). (Use g = 32 ft/s2 for the acceleration due to gravity.) x(t) = 16 Cos (4t) × ft 16
Transcribed Image Text:A mass weighing 16 pounds stretches a spring feet. The mass is initially released from rest from a point 8 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 f(t) = 25 cos(3t). (Use g = 32 ft/s2 for the acceleration due to gravity.) x(t) = 16 Cos (4t) × ft 16
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