A spring hangs with its upper end fixed. An object with mass 50 g at its lower end stretches it 9.8 cm. Then this object is replaced by another whose mass is 5 kilograms and once it reaches its equilibrium position, the object is carried up 0.26 m and released without momentum. The object receives an external force equivalent to 12cos (2t) dynes, and there are no damping forces. If the positive direction is taken downwards, then a differential equation and initial conditions that allow determining the position x (t), in cm, of the object at t seconds, is: If necessary, use the constant of gravity g as g = 980 cm / s2

A spring hangs with its upper end fixed. An object with mass 50 g at its lower end stretches it 9.8 cm. Then this object is replaced by another whose mass is 5 kilograms and once it reaches its equilibrium position, the object is carried up 0.26 m and released without momentum. The object receives an external force equivalent to 12cos (2t) dynes, and there are no damping forces. If the positive direction is taken downwards, then a differential equation and initial conditions that allow determining the position x (t), in cm, of the object at t seconds, is: If necessary, use the constant of gravity g as g = 980 cm / s2