Question

What is the angle between two vector forces of equal magnitude such that their resultant is one-trd of either of the original forces?

Answer 1

Explanation:

The angle between two vectors = 160.81°

Explanation:

As per the question,

Resultant is given by:

Now,

Its given that two forces are equal in magnitude.

∴ F₁ = F₂ = F

Also, Resultant force is one third of the original forces.

Therefore,

On putting all the values , we get

On squaring both sides, we get

θ = 160.81°