The-forces-F-1-2i-bj-N-F-2-i-2j-N-and-F-3-ai-4j-N-act-through-the-points-with-position-vectors-r-1-i-3j-m-r-2-xi-5j-m-and-r-3-i-j-m-respectively-Given-that-this-sys

Question Number 79738 by Rio Michael last updated on 27/Jan/20

T h e f o r c e s F_{1} = (2 i + b j) N, F_{2} = (- i + 2 j) N

a n d F_{3} = (a i - 4 j) N a c t 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} = (i + 3 j) m, r_{2} = (x i + 5 j) m

a n d r_{3} = (- i + j) m r e s p e c t i v e l y .

G i v e n t h a t t h i s s y s t e m o f f o r c e s i s e q u i v a l e n t t o a c o u p l e

o f m a g n i t u d e 12 N m, f i n d

a) t h e v a l u e o f t h e s c a l a r s a a n d b

b) t h e p o s s i b l e v a l u e s o f t h e s c a l a r x .