State and Explain Parallelogram Law of Forces

Parallelogram Law of Forces:

It states that “If two forces are acting simultaneously on a particle, be represented in magnitude and direction by the two adjacent sides of a parallelogram, their results may be represented in magnitude and direction by the diagonal of the parallelogram which passes through their point of intersection“.

State and Explain Parallelogram Law of Forces

Mathematically, the resultant force,

Where, F1 and F2 = Forces whose resultant is required to be found out.
θ = Angle between the forces F1 and F2
α = Angle which the resultant force makes with one of the forces say F1.