A mass weighing 20 lb stretches a spring 4in. The mass is attached to a viscous damper with damping constant 3 lb · •s/ft. The mass is pushed upward, contracting the spring a distance of 2 in, and then set into motion with a downward velocity of 2 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

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A mass weighing 20 lb stretches a spring 4in. The mass is attached to a viscous damper with damping
constant 3 lb ·s/ft.
The mass is pushed upward, contracting the spring a distance of 2 in, and then set into motion with a
downward velocity of 2 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
Transcribed Image Text:A mass weighing 20 lb stretches a spring 4in. The mass is attached to a viscous damper with damping constant 3 lb ·s/ft. The mass is pushed upward, contracting the spring a distance of 2 in, and then set into motion with a downward velocity of 2 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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