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A force of 100N acts at a point P(-2,3,5)m has its line of action passing through Q(10,3,4)m. Calculate moment of this force about origin (0,0,0).
1 Answer
written 3.5 years ago by |
We are asked to find the Moment about a point in 3-D. And we already know that:
Moment (M) = distancr(r) x Force(F) ......................... (1)
Bold letters represent vector quantities here and 'X' signifies cross product.
Now we are provided with F and two points in space. So to find moment about B. We first find F:
Now F =100 * (Unit Vector QP)
So unit vector QP= $(12i - k)/sqrt(145)$
F= 99.65i - 8.30k
r = PO = (-2i + 3j + 5k)
So M = r x F = (-2i + 3j + 5k) x (99.65i - 8.30k)
= ( -24.9i + 481.65j - 298.95k)