Sketch the lamina S of constant density ρ = 3 g / c m 2 occupying the region beneath the graph of y = x 2 for 0 ≤ x ≤ 3 . (a) Use Eqns. (1) and (2) to compute M x and M y (b) Find the area and the center of mass of S.

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Chapter 8.3, Problem 5E

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To determine:

Sketch the lamina S of constant density $ρ = 3 g / c m^{2}$ occupying the region beneath the graph of $y = x^{2}$ for $0 \leq x \leq 3$ .

(a) Use Eqns. (1) and (2) to compute $M_{x}$ and $M_{y}$

(b) Find the area and the center of mass of S.

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