$\"\"$

\

The equations of the curves are $\"\"$ .

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Mass of the system is $\"\"$ .

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$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$ .

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$\"\"$

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The moments about the $\"\"$ -axis is $\"\"$ .

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Substitute corresponding values in the integral.

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$\"\"$

\

$\"\"$

\

$\"\"$ .

\

$\"\"$

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The moments about the $\"\"$ - $\"\"$ - $\"\"$ - $\"\"$ - $\"\"$ -axis is $\"\"$ . \ \

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

\

$\"\"$

\

$\"\"$ .

\

$\"\"$

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Center of mass formula: $\"\"$ .

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Substitute corresponding values in the formula.

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$\"\"$

\

$\"\"$ .

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$\"\"$

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Moments $\"\"$ , $\"\"$ and center of mass $\"\"$ .