question_answer

Find the vector sum of n coplanar forces, each of magnitude F, when each force is making an angle of \[\text{2}\pi /\text{n}\] with the proceeding one.                

Answer:

Zero. Since the total angle between n coplanar forces\[=(\text{2}\pi /\text{n})\times \text{n}=\text{ 2}\pi \]. It means the forces can be represented by the various sides of a closed polygon taken in one order, hence their resultant force is zero.