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Problem 34 Hard Difficulty

A thin wire has the shape of the first-quadrant part of the circle with center the origin and radius $ a $. If the density function is $ \rho (x, y) = kxy $, find the mass and center of mass of the wire.

Answer

$$
\left(\frac{2 a}{3}, \frac{2 a}{3}\right)
$$

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Video Transcript

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