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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. Starting at t = 0, an external force equal to f(t) = 2sin⁡(3t) is applied to the system. Determine the equations of motion if the mass is initially released from a point 1 meter below the equilibrium position with an upward velocity of 11 m/s.

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. Starting at t = 0, an external force equal to f(t) = 2sin⁡(3t) is applied to the system. Determine the equations of motion if the mass is initially released from a point 1 meter below the equilibrium position with an upward velocity of 11 m/s.

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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. Starting at t = 0 , an external force equal to f ( t ) = 2 sin ⁡ ( 3 t ) is applied to the system. Determine the equations of motion if the mass is initially released from a point 1 meter below the equilibrium position with an upward velocity of 11 m / s .

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