In general The moment vector about any point O of force vector F is
M = R x F
where R is the vector from point O to a (any) point on vector F and F is the force vector
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(delete all spaces for link to work)
Determine the magnitude of the resultant moment produced by the forces about point O.
pls explain to me how to do it, you don't need to tell me final answer, i can number crunch :)
5 answers
To set this up:
if R = Rx i + Ry j + Rz k
and F = Fx i + Fy j + Fz z
then the vector M is the determinant of the matrix
| i j k |
|Rx Ry Rz |
|Fx Fy Fz)|
or in other words
(RyFz-RzFy)i + RzFx-RxFz)j + (RxFy-RyFx)k
if R = Rx i + Ry j + Rz k
and F = Fx i + Fy j + Fz z
then the vector M is the determinant of the matrix
| i j k |
|Rx Ry Rz |
|Fx Fy Fz)|
or in other words
(RyFz-RzFy)i + RzFx-RxFz)j + (RxFy-RyFx)k
Your link did not work for me beyond:
www.media.cheggcdn.com/media/ac3
www.media.cheggcdn.com/media/ac3
there are basically two forces acting on the object.
so do i find the resultant force first and then cross that with r?
so do i find the resultant force first and then cross that with r?
No, find the Moment due to each.
M1x, M2x
M1 y, M2y
M1z, M2 z
THEN add the moment vector components
Mtotal x i + Mtotaly j + Mtotalz K
M1x, M2x
M1 y, M2y
M1z, M2 z
THEN add the moment vector components
Mtotal x i + Mtotaly j + Mtotalz K