A thin rod extends from x = 0 to x = L. It carries a nonuniform mass per unit length m =

Chapter 9, Problem 91

(choose chapter or problem)

A thin rod extends from x = 0 to x = L. It carries a nonuniform mass per unit length m = Mx a /L1+a , where M is a constant with units of mass, and a is a non-negative dimensionless constant. Find expressions for (a) the rods mass and (b) the location of its center of mass. (c) Are your results what you expect when a = 0?

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