2) An upward reaction occurs at both supports, Fa and Fb.

A downward weight force of occurs at the center of the beam.

Assume the body of mass is placed to the left of the beams center.

It has a downward force of

The sum of the forces in the Y (vertical) direction is 0.

Therefore we have,

For , we have 2

Therefore

The sum of the moments about the beams center is 0 (CCW is positive).

Therefore we have,

Subbing in values for Fa, Fb, and Fm and solving for x, we get

Thus the mass should be placed 0.6 meters to the left of the beams center so that the reaction forces can equal eachother.