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 2 inches below the equilibrium position. Give the initial conditions. (Use g = 32 ft/s? for the acceleration due to gravity.) x(0) = 2 ft x'(0) = ft/s Find the equation of motion. x(t) = -2 cos (O ft

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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Hello I need help with this question. I tried -1/6 and 2 for x(0) and I got both wrong.

 

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 2 inches below the equilibrium position.
Give the initial conditions. (Use g = 32 ft/s for the acceleration due to gravity.)
x(0)
ft
x'(0)
ft/s
Find the equation of motion.
x(t) = -2 cos() ft
Transcribed Image Text: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 2 inches below the equilibrium position. Give the initial conditions. (Use g = 32 ft/s for the acceleration due to gravity.) x(0) ft x'(0) ft/s Find the equation of motion. x(t) = -2 cos() ft
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