7. A mass weighing 3 lb stretches a spring 3 in. If the mass is pushed upward, contracting the spring a distance of 1 n., and then set in motion with a downward velocity of 2 ft/s, and if there is no damping, find the position y of the nass at any time t. Determine the frequency, period, amplitude, and phase of the motion.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.4: Applications
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7. A mass weighing 3 lb stretches a spring 3 in. If the mass is pushed upward, contracting the spring a distance of 1
in., and then set in motion with a downward velocity of 2 ft/s, and if there is no damping, find the position y of the
mass at any time t. Determine the frequency, period, amplitude, and phase of the motion.
Transcribed Image Text:7. A mass weighing 3 lb stretches a spring 3 in. If the mass is pushed upward, contracting the spring a distance of 1 in., and then set in motion with a downward velocity of 2 ft/s, and if there is no damping, find the position y of the mass at any time t. Determine the frequency, period, amplitude, and phase of the motion.
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