question_answer

What is the vector sum of \[n\] coplanar forces, each of magnitude F, if each force makes an angle of \[2\pi /n\] with the preceding force?

Answer:

                Total angle between n coplanar forces \[=(2\pi /n)\times n=2\pi \]. This shows that the n forces can be represented by the n sides of a closed polygon taken in the same order. So the resultant force is zero.