Two equal forces are acting at a point with an angle of 60° between them. If the resultant force is equal to 403N, the magnitude of each force is
40N
20N
80N
30N
Step 1: Given;
F1=F2=F(say)θ=60°FR=403N
Step 2: Formula used:
FR=F12+F22+2F1F2cosθ
Step 3: Find the magnitude of each force;
403=F2+F2+2F2cos60°⇒403=2F2+2F2(0.5)⇒403=3F⇒F=40N
so, F1=F2=F=40N
Thus, option A is correct.
two forces 40N and 60N are acting at a point making an angle 60degree between them . find the magnitude and direction of the resultant force?