$\"\"$

\

The equations are $\"\"$ , $\"\"$ on $\"\"$ .

\

Consider $\"\"$ .

\

The value of $\"\"$ .

\

Apply formula for area of the lamina : $\"\"$ .

\

Here $\"\"$ .

\

$\"\"$

\

$\"\"$ . $\"\"$

\

Find $\"\"$ .

\

The moment about the $\"\"$ -axis is $\"\"$ , where $\"\"$ is uniform density of a planar lamina.

\

Substitute $\"\"$ , $\"\"$ and $\"\"$ .

\

$\"\"$

\

$\"\"$ .

\

$\"\"$ . $\"\"$

\

Find $\"\"$ .

\

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

\

Substitute $\"\"$ , $\"\"$ and $\"\"$ .

\

$\"\"$

\

$\"\"$ .

\

$\"\"$

\

$\"\"$ .

\

$\"\"$ .

\

$\"\"$ .