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In: Advanced Math

1. An 8 pound weight stretches a spring 2 feet. The surrounding medium offers a damping...

1. An 8 pound weight stretches a spring 2 feet. The surrounding medium offers a damping force that is numerically equal to 2 times the instantaneous velocity. It is then released from rest from a point 3 feet below the equilibrium point.
a. Determine the equation of motion.

b. Is the system underdamped, overdamped, or critically damped?

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