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A Uniform Thin Wire Has a Length L=πRL=\pi R And Is Bent into a Semicircular Arc of Radius R

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A uniform thin wire has a length L=πRL=\pi R and is bent into a semicircular arc of radius R. If the wire starts at (x, y) = (R, 0) and curves counterclockwise to (x, y) = (-R, 0), what is the y coordinate of its centre of mass?

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Definitions:

Output

The total quantity of goods or services produced by a firm, industry, or economy within a certain period.

Total Cost

The complete expenditure incurred in the production of goods or services, including fixed and variable costs.

Output

The total amount of something produced by a person, machine, or industry.

Average Variable Cost

The total variable costs (costs that change with production levels) divided by the quantity of output produced.

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