Step 1:

Find the force of attraction of a material rod.

The length of the rod is $\"\"$ .

The mass of the rod $\"\"$ .

On a material point of mass $\"\"$ lying on a straight line with the rod at a distance $\"\"$ from one of its ends.

Force of attraction :

The force of gravitational attraction is proportional to the product of the masses ( $\"\"$ and $\"\"$ ) and is inversely proportional to the square of the distance between the two masses, r.

The formula for the force of gravitational attraction is : $\"\"$ .

Where $\"\"$ is the gravitational constant.

$\"\"$ is the distance from mass $\"\"$ to one end of rod end of mass $\"\"$ .

$\"\"$ is the distance from mass $\"\"$ to anther end of rod end of mass $\"\"$ .

Draw a diagram for the given information :

$\"\"$

Observe the diagram :

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

Force of attraction of a material rod $\"\"$ .

Since the two masses lying on the straight line with same direction, take $\"\"$ .

Substitute $\"\"$ and $\"\"$ in $\"\"$ .

$\"\"$ .

Force of attraction of a material rod is $\"\"$ , Where $\"\"$ is the gravitational constant.

Solution :

Force of attraction of a material rod is $\"\"$ , Where $\"\"$ is the gravitational constant.