It is useful to see how geometry affects shaft critical speed. a) Determine the critical speed of a solid 1.0-in diameter steel shaft simply supported with a span of 10.0-in. b) With the 10.0-in span, create a plot showing the critical speed for all shaft diameters between 0.25-in and 3.0-in. c) With a 1.0-in diameter; plot, critical speed for spans between 2.0-in and 20.0-in.