Given-that-the-forces-F-1-F-2-and-F-3-have-position-vectors-r-1-r-2-and-r-3-Where-F-1-2i-3i-k-N-r-1-i-2k-m-F-2-3i-2i-5k-N-r-2-2i-4j-k-m-F-3-

Question Number 122189 by physicstutes last updated on 14/Nov/20

Given that the forces F_{1}, F_{2} and F_{3} have position vectors

r_{1}, r_{2} and r_{3} . Where,

F_{1} = (2 i + 3 i + k) N r_{1} = (i + 2 k) m

F_{2} = (3 i + 2 i + 5 k) N r_{2} = (2 i - 4 j + k) m

F_{3} = (- 5 i - 5 j - 6 k) N r_{3} = (4 i + 3 j + 2 k) m

(a) Find the moment of F_{1} about (2 i + 3 j + 4 k) m .

(b) Show that this system of forces reduces to a couple, G,

and find the magnitude of this couple .

(c) Check if F_{1} and F_{2} are concurrent .