Question

Two equal forces are acting at a point with an
angle of 60° between them. If the resultant force
is equal to 40V3 N, the magnitude of each force
is
A) 40 N
(3) 80 N
(2) 20 N
(4) 30 N​

Answer 1

Answer:

A is the correct answer

Explanation:

By applying Parallelogram Law

Fnet= √F1²+F2²+2F1F2cos∅

here F1=F2

∅=60°

Fnet= √2F1²+2F1²×cos60°

{cos60°=1/2}

Fnet=√2F1²+2F1²×1/2

Fnet=√2F1²+F1²

Fnet= √3F1²

{Fnet=40√3}

40√3= √3 F1

F1 =40N

Both F1 and F2 are equal

F1=F2=40N...