Question: If a loop of chain is spun at high speed, it will roll like a hoop without collapsing. Consider a chain of linear mass density

If a loop of chain is spun at high speed, it will roll like a hoop without collapsing. Consider a chain of linear mass density m that is rolling without slipping at a high speed v₀.

(a) Show that the tension in the chain is F = μv₀².

(b) If the chain rolls over a small bump, a transverse wave pulse will be generated in the chain. At what speed will it travel along the chain?

(c) How far around the loop (in degrees) will a transverse wave pulse travel in the time the hoop rolls through one complete revolution?

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