Question

Three forces pull an object:F1=50-N towards the +×;F2=50-N towards the+y and F3=70-N,30°below -×.What force will balance the three?

Answer 1

Solution

Given Forces can be shown below

$F_1=50N\\F_2=50N\\$

Firstly we have to find components in

$F_{3_x}=F_3\cos30^°=60.62N\\F_{3_y}=F_3\sin30^°=35N$

Now in resultant forces are found in -x and +y axis as shown below



Finally resultant force of all three forces is given by

$F_R=\sqrt{15^2+(10.62) ^2}$ =337.8N