Set w

$=40$ lb$/$ft

$($Figure $1).$

Figure$1$ of $1$

A $12$ foot long horizontal beam is fixed with its left end to a vertical surface. The x y plane is shown. The x axis is directed to the right and the y axis is directed upward. The origin labeled as O is at the left end of the beam. Point $\text{'}$A$\text{'}$ is at the top right corner of the beam, $1$ foot above the x axis. A distributed loading acts downward on the beam, increasing linearly from zero at the left end to w at the right end. A $100$ pound force acts at $\text{'}$A$\text{'}$ downward and to the left, making an angle of $60$ degrees with the x axis.

Part A

Determine the resultant moment of both the $100-$lb

force and the triangular distributed load about point O

$.$

Express your answer in kilopound$-$feet to three significant figures. Assume the positive direction is counterclockwise.