A mass weighing 4 pounds stretches a spring 2 feet. The system is submerged in a medium which offers a damping force that is numerically equal to the instantaneous velocity. The mass is initially released from a point 1 foot above the equilibrium position with a downward velocity of 8 ft/s. Find the following part a and b. A) Find the equation of motion, x(t). B) What type of damped motion is this system?

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A mass weighing 4 pounds stretches a spring 2 feet. The system is submerged
in a medium which offers a damping force that is numerically equal to the
instantaneous velocity. The mass is initially released from a point 1 foot above
the equilibrium position with a downward velocity of 8 ft/s. Find the following
part a and b.
A) Find the equation of motion, x(t).
B) What type of damped motion is this system?
Transcribed Image Text:A mass weighing 4 pounds stretches a spring 2 feet. The system is submerged in a medium which offers a damping force that is numerically equal to the instantaneous velocity. The mass is initially released from a point 1 foot above the equilibrium position with a downward velocity of 8 ft/s. Find the following part a and b. A) Find the equation of motion, x(t). B) What type of damped motion is this system?
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