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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §15.2 Line Integrals, #20 · Multivariable Calculus · Vector calculus

A wire of constant density … lies on the semicircle …,

A wire of constant density $ρ$ lies on the semicircle $x^{2} + y^{2} = a^{2}$ , $y > 0$ . Find its mass $M$ and also its moment $M_{x} = \int ρ y d s$ . Where is its center of mass $\overset{x}{ˉ} = M_{y} / M$ , $\overset{y}{ˉ} = M_{x} / M$ ?

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §15.2 Line Integrals, #20

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