An electromagnet weighing 3000kg is at rest while holding an car of weight 2000 kg in a junkyard. the current is switched off, and the car falls. assume the crane and the supporting cable have an equivalent spring constant of 3.86 mn/m.(a) find the natural frequency of vibration of the electromagnet.(b) estimate the deflection due to the weight of the car and resulting motion of the electromagnet.(c) find the max acceleration developed in the cable during motion.