Question

If two equal forces are acting at a point that makes an angle of 60 degrees between them, and the resultant force is equal to 20√3N, find the magnitude of each force.

Answer 1

Let the first force =F1

And sec=F2

According to the question F1=F2

Angle=60°

Resultent (R) =20√3

Here we know,R=√(A²+B²+2ABcosT), here T=theta

So in our case,R=√(F1²+F2²+2F1F2cos60°)

So,put the all values

20√3=√(2F²+F²), because,F1=F2=F(let)and cos60°=½,so,2F²½=F²

SO,NOW,

20√3=√(3F²)

Or,20√3=√3F

Or,F=20,

SO THE EACH FORCES ARE 20N,

so,F1=F2=20N,

Ans....