Vibration absorbers are used in railroad cars toprotect sensitive loads from large acceleration due to periodicexcitation given by rail links. For certain trains, the railconnection is 5 m. The car, when empty, has a mass of 25,000 kg.Two vibration absorbers are used, each having a mass of 12,000 kg.Absorbers for certain cars are designed to remove vibrations fromthe main mass when the car is loaded with 12,000 kg of cargo andmoves at 100 m / s. The personal frequency of the uncarriedcarriage is 165 rad / s.
(a) At what speed will resonance occur in cars with aload of 12,000 kg?
(b) What is the best speed for carriages when loadedwith 25,000 kg of cargo?
