Begin2.DVI

The total moment about the x-axis is therefore the sum of these moments and

given by

M 1 =F 3 y 1 −F 2 z 1.

(b) For the moment about the y-axis, one finds

(Force)(⊥distance) = + F 1 z 1 (Counterclockwise rotation)

F 2 component parallel to the y-axis does not produce a moment

(Force)(⊥distance) =−F 3 x 1 (Clockwise rotation)

The total moment about the y-axis is therefore

M 2 =F 1 z 1 −F 3 x 1.

Figure 6-12. Moments produced by a force F
=F 1 eˆ 1 +F 2 ˆe 2 +F 3 ˆe 3

(c) For the moment about the z-axis show that

(Force)(⊥distance) =−F 1 y 1 (Clockwise rotation)

(Force)(⊥distance) = + F 2 x 1 (Counterclockwise rotation)

F 3 component parallel to the z-axis does not produce a moment

The total moment about the z-axis is given by

M 3 =F 2 x 1 −F 1 y 1.