MediumVector calculus

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 $\overset{x}{ˉ} = M_{y} / M$ , $\overset{y}{ˉ} = M_{x} / M$ ?

~8 minWritten answer · check your work with Lemma

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

Stuck? A gentle nudge

No hints for this one.

Something off?

Workspace

Your working

Check your full solution

Attach photos of your pages (up to 3) or one PDF — or check what you typed above. Lemma reads the work and verifies the reasoning, not just the answer.

Your first check today doesn't need an account.

Your photos and PDFs are read once and not stored — only the transcription is kept.