A mass weighing 16 pounds stretches a spring 8/3 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 if the mass is driven by an external force equal to f(t)(= 10 cos (3t).

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 8/3 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 if
the mass is driven by an external force equal to f(t)(= 10 cos (3t).
Transcribed Image Text:A mass weighing 16 pounds stretches a spring 8/3 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 if the mass is driven by an external force equal to f(t)(= 10 cos (3t).
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