15. Rotational Equilibrium

A board 8 m in length, 20 kg in mass, and of uniform mass distribution, is supported by two scales placed underneath it. The left scale is placed 2 m from the left end of the board, and the right scale is placed on the board's right end. A small object 10 kg in mass is placed on the left end of the board. Calculate the reading on the left scale. (Use g=10 m/s².)

BONUS: Calculate the reading on the right scale.

In the context of equilibrium with multiple supports, what is the name of a horizontal structure that is supported at only one end?

For a simply supported beam of length $L$ with a uniformly distributed load $w$ along its entire length, which of the following correctly describes the shape of the shear force and bending moment diagrams?

A uniform beam of length $L$ and mass $m$ rests horizontally on two supports, one at each end. If a downward point load $P$ is applied at a distance $a$ from the left end, which of the following expressions gives the reaction force at the left support?