Question

Three concurrent forces of the same magnitude are in equilibrium. What is the angle between the forces? Also name the triangle formed by the forces as sides

• A. 60° equilateral triangle
• B. 120° equilateral triangle
• C. 120°, 30°, 30° an isosceles triangle
• D. 120° an obtuse angled triangle

Answer 1

Answer: (A)

60° equilateral triangle

Answer 2

In N forces of equal magnitude works on a single point and their resultant is zero then angle between any two forces is given $\theta = \frac{360}{N} = \frac{360}{3} = 120{^\circ}$

If these three vectors are represented by three sides of triangle then they form equilateral triangle