A mass weighing 12lb stretches a spring 10in. The mass is attached to a viscous damper...

A mass weighing 12lb stretches a spring 10in. The mass is attached to a viscous damper with damping constant 3lb⋅s/ft. The mass is pushed upward, contracting the spring a distance of 2in, and then set into motion with a downward velocity of 4in/s. Determine the position u of the mass at any time t. Use 32ft/s2 as the acceleration due to gravity. Pay close attention to the units. u(t)=

Expert Solution

Answer :

Given that

mass weight is 12 lb

stretches a spring is 10 in

damping constant 3 lb. s /ft

mass is pushed upward contracting the spring a distance of 2 in

down word velocity of 4 in /s

mass ant time t ,

the acceleration due to gravity is 32 ft/s^2

genius_generous answered 5 months ago

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