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A 1-kilogram mass is attached to a spring whose constant is 18 N/m, and the entire...

A 1-kilogram mass is attached to a spring whose constant is 18 N/m, and the entire system is then submerged in a liquid that imparts a damping force numerically equal to 11 times the instantaneous velocity. Determine the equations of motion if the following is true.

(a) the mass is initially released from rest from a point 1 meter below the equilibrium position

x(t) = m

(b) the mass is initially released from a point 1 meter below the equilibrium position with an upward velocity of 12 m/s

x(t) = m

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