Find the moment and center of mass of the rod

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Reference no: EM131607078

Question: If a rod lies along the x-axis between a and b, the moment of the rod is ab xδ(x)dx, where δ(x) is its density in grams/meter at a position x meters. Find the moment and center of mass of the rod in Problem.

Problem: A rod has length 2 meters. At a distance x meters from its left end, the density of the rod is given by

δ(x) = 2 + 6x gm/m.

(a) Write a Riemann sum approximating the total mass of the rod.

(b) Find the exact mass by converting the sum into an integral.

Reference no: EM131607078

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