A mass weighing 10 lbs stretches a spring 12 inches. This weight is removed and then a mass weighing 16 lbs is attached to the spring. The surrounding medium offers a damping force equal to 8 times the instantaneous velocity. An external force equals to 5 cos 2t is applied to the system. Initially the mass is released 3 inches below the equilibrium position with an upward velocity of 4 ft/s. Set up an initial-value problem that models the given system. (Do not solve the differential equation.)
A mass weighing 10 lbs stretches a spring 12 inches. This weight is removed and then a mass weighing 16 lbs is attached to the spring. The surrounding medium offers a damping force equal to 8 times the instantaneous velocity. An external force equals to 5 cos 2t is applied to the system. Initially the mass is released 3 inches below the equilibrium position with an upward velocity of 4 ft/s. Set up an initial-value problem that models the given system. (Do not solve the differential equation.)
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A mass weighing 10 lbs stretches a spring 12 inches. This weight is removed and then a mass weighing 16 lbs is attached to the spring. The surrounding medium offers a damping force equal to 8 times the instantaneous velocity. An external force equals to 5 cos 2t is applied to the system. Initially the mass is released 3 inches below the equilibrium position with an upward velocity of 4 ft/s.
Set up an initial-value problem that models the given system.
(Do not solve the differential equation.)
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