0
999views
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
0
135views

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)

Please log in to add an answer.