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 of the mass at any time . Use as 32ft/s^2the acceleration due to gravity. Pay close attention to the units.

Expert Solution

genius_generous answered 9 months ago

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)=

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