Amass weighing 10 pounds stretches a spring 2 feet. The mass is attached to a dashpot device

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Amass weighing 10 pounds stretches a spring 2 feet. The mass is attached to a dashpot device that offers a damping force numerically equal to β (β > 0) times the instantaneous velocity. Determine the values of the damping constant b so that the subsequent motion is

(a) Overdamped,

(b) Critically damped,

(c) Underdamped.

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