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Find the center of mass $(\overline{x}, \overline{y})$ for a thin wire along the semicircle $y=\sqrt{1-x^{2}}$ with unit mass. (Hint: Use the theorem of Pappus.)

$\left(0, \frac{2}{\pi}\right)$

Calculus 2 / BC

Chapter 6

Applications of Integration

Section 6

Moments and Centers of Mass

Harvey Mudd College

Baylor University

University of Nottingham

Idaho State University

Lectures

01:11

In mathematics, integratio…

06:55

In grammar, determiners ar…

17:57

Find the center of mass of…

04:50

A thin wire has the shape …

04:42

A thin wire is bent into t…

04:41

07:12

04:09

02:16

A thin (one-dimensional) …

10:30

Find the mass and center o…

00:52

01:09

we have the same dirt off Mars as John? Yes, some of my mark turned No, the rocks here it's consider, uh, c is the semi said. Oh, semi circular arc, which is in blue color. Wink. Yes. One very rotated around the y axis. It becomes up spear. No, the area equals four by Artis Choir therefore here becomes for by Thanks are visible. Don't want. Therefore, the semi Sekula on has, uh, symmetry. We'd risk factor too. The Y axis, the center of mass is on the Why exes on dhe. Thus it is Judah going by No to find. All right. Bye. Me use the fact that they distance d traveled. You buy the center off months is the circle. Wait already? Yes. Why? Which isn't a red color. So in the finger. This is a scene? No, by using the to the mall are whose we have yang twins. Estimate is equal. Find it to fight D study. This is Dubai Webber on This is for fun. Therefore my body becomes for by a war to bias part which is equal. Do you wouldn't buy? No. As for this we have, it is But whatever it was and you're going to want this is the answer. So they're given problem

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