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A mass weighing 5 lb stretches a spring 9 in. If the mass is pushed upward, contracting the spring a distance of 6 in and then set in motion with a downward velocity of 4 ft/s, and if there is no damping and no other external force on the system, find the position u of the mass at any time t. Determine the frequency (wo), period (T), amplitude (R), and phase (8) of the motion. NOTE: Enter eract answers. Use t as the independent variable. u(t) =

A mass weighing 5 lb stretches a spring 9 in. If the mass is pushed upward, contracting the spring a distance of 6 in and then set in motion with a downward velocity of 4 ft/s, and if there is no damping and no other external force on the system, find the position u of the mass at any time t. Determine the frequency (wo), period (T), amplitude (R), and phase (8) of the motion. NOTE: Enter eract answers. Use t as the independent variable. u(t) =

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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A mass weighing 5 lb stretches a spring 9 in. If the mass is pushed upward, contracting the spring a distance of 6 in and then set in motion with a downward velocity of 4 ft/s, and if there is no damping and no other external force on the system, find the position u of the mass at any time t. Determine the frequency (wo), period (T), amplitude (R), and phase (8) of the motion. NOTE: Enter exact answers. Use t as the independent variable. u(t) wo rad/s T = R ft %3D 8 = rad ||
Transcribed Image Text:A mass weighing 5 lb stretches a spring 9 in. If the mass is pushed upward, contracting the spring a distance of 6 in and then set in motion with a downward velocity of 4 ft/s, and if there is no damping and no other external force on the system, find the position u of the mass at any time t. Determine the frequency (wo), period (T), amplitude (R), and phase (8) of the motion. NOTE: Enter exact answers. Use t as the independent variable. u(t) wo rad/s T = R ft %3D 8 = rad ||
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