Two masses of weight 300 N each are keyed to the opposite ends of a shaft. The shaft length is 70 cm. The shaft is 7 cm diameter for the first 30 cm of its length, 13 cm diameter for the next 20 cm, and 10 cm diameter for the remaining of its length. Find the frequency of free torsional vibrations of the system and the position of the node. The radius of gyration of the masses is 30 cm.
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