A mass weighing 16 lb stretches a spring 5 in. The mass is attached to a viscous damper with damping constant 4 lb s/ft. The mass is pushed upward, contracting the spring a distance of 3 in, and then set into motion with a downward velocity of 5 in/s. Determine the position u of the mass at any time t. Use 32 ft/s as the acceleration due to gravity. Pay close attention to the units. u(t) = in
A mass weighing 16 lb stretches a spring 5 in. The mass is attached to a viscous damper with damping constant 4 lb s/ft. The mass is pushed upward, contracting the spring a distance of 3 in, and then set into motion with a downward velocity of 5 in/s. Determine the position u of the mass at any time t. Use 32 ft/s as the acceleration due to gravity. Pay close attention to the units. u(t) = in
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Transcribed Image Text:A mass weighing 16 lb stretches a spring 5 in. The mass is attached to a viscous damper with damping constant 4 lb s/ft.
The mass is pushed upward, contracting the spring a distance of 3 in, and then set into motion with a downward velocity of 5 in/s.
Determine the position u of the mass at any time t. Use 32 ft/s as the acceleration due to gravity. Pay close attention to the units.
u(t) =
in
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