How to find the start point of the force vector when given only the end point. Plz click URL for diagram?

Question

I can't seem to figure out where the left most vector starts. I have drawn a diagram, you can view it by going to the following link

http://individual.utoronto.ca/asadzaman/problemdiagram.jpg

Answer 1

The diagram shows the force magnitudes, directions and points of application relative to the point of interest (POE), which are all that's needed to solve the problem. However, there's a way to do the calculation without having to find perpendicular distances, called the vector cross product. This works for 2- and 3-dimensional vectors. If V1={a, b, c} and V2 = {d, e, f}, the cross product V1 X V2 = {bf-ce, cd-af, ac-bd}. For 2-D vectors, just set, say, the Z component of each vector to 0, and the result will have a single nonzero value in the Z component. So in this problem, you would first compute the 2-D distance vectors R1, R2 and R3 from each point of force application to the POE. For each Rn of the three Rs, find the cross product with the corresponding force Fn, that is, Rn X Fn. These are the individual moments. Then add them up.

Answer 2

The start point of the force does not matter. All that matters is the magnitude of the force and its angle. To determine the sum of the moments about any point, multiply the perpendicular distance through each vector to the point of interest and the magnitudes of the forces.

Moment = Force1 * Distance1 + Force2 * Distance2 + Force3 * Distance3

Answer 3

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