Question

compute algebraicially the resultant of the following coplanar forces: 100 N at 30 degrees, 141.4N at 45 degrees and 100N at 240 degrees

Answer 1

$x=100\cdot\cos30°+141.4\cdot\cos45°+100\cdot\cos240°=$

$=136.59\ (N)$

$y=100\cdot\sin30°+141.4\cdot\sin45°+100\cdot\sin240°=$

$=63.4\ (N)$

$F_{total}=\sqrt{136.59^2+63.4^2}=150.6\ (N)$