Statics - How to solve this?

Question 1

Diagram: DAM, nonconcurrent

Determine the resultant of the three forces acting on the dam and locate its intersection with the base AB. For good design, this intersection should occur within the middle third of the base. Does it?

Answer 1

Get Rx and Ry
Get R
Get moment = Fd
Get distance with Mo = Fd

Question 2

Diagram: Finding ix, intersection

In a certain non-concurrent force system, it is found that Σ𝐹𝑥= -80N, Σ𝐹𝑦= +160N and Σ𝑀𝑜= 480N-m in a counter-clockwise sense. Determine the point that which the resultant intersects at X-axis.

Answer 2

Equate Rx = zero since intersection.

Get ix using moment
Mo = Ry time ix. Input given Mo and Fy. Mo will be negative since CCW and Ry will also be negative since CCW siya at point O.