First slide

Scalars and Vectors

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

Easy

A

60^o equilateral triangle
B

120^o equilateral triangle
C

120^o,30^o, 30^o an isosceles triangle
D

120^o an obtuse angled triangle

Solution

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

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