Question

Prove that Moment= Force× Perpendicular Distance

Answer 1

mark me brainliest answer plss

I want to derive from first principles the proof
for magnitude of torque about a point O =
perpendicular distance from O to the line of
action of the force * magnitude of the force. I
want to derive this result for a general 3-D
case for any arbitrary point O and force F . I
need to prove this mathematically without
knowing the cross-product magnitude in
terms of the angle between the vectors.....
that is given any force F = Fx i + Fy j + Fz k
and any point O and using torque= r cross F
& using the determinant expansion for the
same & also the expressions for magnitude
of a vector, I need to prove this.... In other
words, I need to prove that the magnitude of
the cross-product is indeed F*r*sin(theta