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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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Question

A mass weighing 24 pounds, attached to the end of a spring, stretches it 4 inches. Initially, the mass is released from rest from a point 6 inches below the equilibrium position.
Give the initial conditions. (Use g = 32 ft/s2 for the acceleration due to gravity.)
x(0) =
x'(0) = 0
ft
x(t) =
=
✔ ft/s
Find the equation of motion.
ft

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