Question Number 11405 by tawa last updated on 24/Mar/17

Find the magnitude of two forces such that if they act at right angle their  resultant is (√(10)) , and (√(13)) if they act at an angle of 60°.

Answered by mrW1 last updated on 24/Mar/17

x^2 +y^2 =10  (y+xcos 60°)^2 +(xsin 60°)^2 =13  (y+(1/2)x)^2 +(((√3)/2)x)^2 =13  y^2 +(1/4)x^2 +xy+(3/4)x^2 =13  x^2 +y^2 +xy=13  xy=3  2xy=6  (x+y)^2 =16  x+y=4  (x−y)^2 =4  x−y=2  2x=6  x=3  y=1

Commented bytawa last updated on 24/Mar/17

God bless you sir.