three-forces-F-1-F-2-and-F-3-acts-through-the-points-with-position-vectors-r-1-r-2-and-r-3-respectively-where-F-1-3i-2j-4k-N-r-1-i-k-m-F-2-i-j-N-r-2-j-k-m-F-3-i-4k-N-r-3-

Question Number 65170 by Rio Michael last updated on 25/Jul/19

t h r e e f o r c e s F_{1}, F_{2} a n d F_{3} a c t s t h r o u g h t h e p o i n t s w i t h p o s i t i o n v e c t o r s

r_{1}, r_{2} a n d r_{3} r e s p e c t i v e l y w h e r e

F_{1} = (3 i - 2 j - 4 k) N, r_{1} = (i + k) m

F_{2} = (- i + j) N, r_{2} = (j + k) m

F_{3} = (- i + 4 k) N, r_{3} = (i + j + k) m

a . s h o w t h a t t h i s s y s t e m d o e s n o t r e d u c e t o a s i n g l e f o r c e .

W h e n a f o u r t h f o r c e F i s a d d e d, t h e s y s t e m o f f o r c e s i s i n e q u i l i b r i u m

b . S h o w t h a t F a c t s t h r o u g h t h e p o i n t w i t h v e c t o r s (3 k) m .