$\"\"$

The density of plate is $\"\"$ .

Depth of the plate is $\"\"$ from beneath the surface of the fluid.

Acceleration due to gravity $\"\"$ .

Width of the plate is $\"\"$ .

The plate is divided into small peices, so the area of the peice is $\"\"$ .

Force at depth $\"\"$ is $\"\"$ .

Force on each peices of the strip : $\"\"$ .

Top of the plate is at depth $\"\"$ .

Bottom of the plate is at depth $\"\"$ .

Net force is obtained by integrating from $\"\"$ to $\"\"$ .

$\"\"$

Therefore, force on one side of the plate is $\"\"$ . $\"\"$

Force on one side of the plate is $\"\"$ .