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A 1-in-diameter uniform carbon steel shaft is 20 in long between bearings. (a) Find the lowest critical speed of the shaft. (b) If the goal

A 1-in-diameter uniform carbon steel shaft is 20 in long between bearings. (a) Find the lowest critical speed of the shaft. (b) If the goal is to triple the critical speed, find the new shaft diameter. (c) A quarter-size model of the original shaft has what critical speed?

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