Vibration absorbers are used in railroad cars to protect sensitive loads from large acceleration due to periodic excitation given by rail links. For certain trains, the rail connection 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 from the main mass when the car is loaded with 12,000 kg of cargo and moves at 100 m / s. The personal frequency of the uncarried carriage is 165 rad / s.
(a) At what speed will resonance occur in cars with a load of 12,000 kg?
(b) What is the best speed for carriages when loaded with 25,000 kg of cargo?
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