POSITION SCALAR AND VECTORS

Question

Two foforces whose resultant is 100N are perpendicular to each other. If one of them makes angle 600 with the result, calculate it magnitude

Answer 1

I assume the angle is 60°, not 600.

 

The 2 forces are perpendicular, so you can call one F_x and the other F_y.  I will call F_x the one that points 60° from the resultant.  The following relations apply:

 

√(F_x² + F_y²) = 100 N

 

F_x = (100 N)cos60° = 50 N

 

F_y = (100 N)sin60° ≅ 86.60 N