A mass weighing 5 lb stretches a spring 4 in. If the mass is pushed upward, contracting the spring a distance of 5 in and then set in motion with a downward velocity of 3 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) %3D Trad/s wo T = ||

University Physics Volume 1
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Chapter15: Oscillations
Section: Chapter Questions
Problem 29P: A mass m0is attached to a spring and hung vertically. The mass is raised a short distance in the...
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A mass weighing 5 lb stretches a spring 4in. If the mass is pushed
upward, contracting the spring a distance of 5 in and then set in
motion with a downward velocity of 3 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
rad
||
||
Transcribed Image Text:A mass weighing 5 lb stretches a spring 4in. If the mass is pushed upward, contracting the spring a distance of 5 in and then set in motion with a downward velocity of 3 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 rad || ||
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