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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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Please use differential equations to solve

A spring is stretched 6 in by a mass that weighs 8 lb. The mass is
attached to a dashpot mechanism that has a damping constant of
0.25 lb-sec/ft and is acted on by an external force of 3 cos(2t) lb.
Determine the steady-state response of this system. Assume that
g= 32 ft/sec². Express your answer, uss(t), as a linear combination
of sin(at) and cos(at), where u is in feet and t is in seconds.
Uss(t) =
=

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