Determine the greatest constant angular velocity v of the
Chapter 1, Problem 1-67(choose chapter or problem)
Determine the greatest constant angular velocity \(\omega\) of the flywheel so that the average normal stress in its rim does not exceed \(\sigma=15 \mathrm{MPa}\). Assume the rim is a thin ring having a thickness of 3 mm, width of 20 mm, and a mass of 30 kg>m. Rotation occurs in the horizontal plane. Neglect the effect of the spokes in the analysis. Hint: Consider a 1 free-body diagram of a semicircular segment of the ring. The center of mass for this segment is located at \(\hat{r}=2 r / \pi\) from the center.
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