Forces and Moments: Part 2

Calculating the moment using rectangular components:

The moment of a force F about the axis passing through point O and perpendicular to the plane containing O and F can be expressed using the cross product:

M_o = r x F

The magnitude of the moment is the area shown below:

M_o = | r x F | = r F sinθ

r = x i + y j + z k

F = F_x i + F_y j + F_z`k

Resultant moment: M_ro