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A 9-kg mass is attached to a vertical spring with a spring constant of 16 N/m. The system is immersed in a medium that imparts a damping force equal to 24 times the instantaneous velocity of the mass.
a. Find the equation of motion if it is released from its equilibrium position with an upward velocity of 4 m/sec.
b. Graph the solution and determine whether the motion is overdamped, critically damped, or underdamped.
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