A mass weighing 4lb stretches a spring 8 in. If the mass is pushed upward, contracting the spring a distance of 8 in and then set in motion with a downward velocity of 6 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)
A mass weighing 4lb stretches a spring 8 in. If the mass is pushed upward, contracting the spring a distance of 8 in and then set in motion with a downward velocity of 6 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)
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Transcribed Image Text:A mass weighing 4 lb stretches a spring 8 in. If the mass is pushed
upward, contracting the spring a distance of 8 in and then set in
motion with a downward velocity of 6 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 =
S
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