Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN: 9781285463247
Author: David Poole
Publisher: Cengage Learning
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Question

A mass of 2 slug stretches  a spring 1foot. The mass is released from rest from a point  3 feet  below  the equilibrium position. the medium exerts a damping force numerically equal to 12 times the ins tantaneous velocity. Beginning at t=0 , the system  is driven by external force

f(t)= 10e-t sin(3t)

g=32 ft/s^2

a)Derive the initial value x(t)  measure positive downward from the equibrium

b) solve the equation of motion

c) determine the limit as t approach infinity for x(t)

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