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  4. Two identical forces are acting on a body. The magnitude of each force is equal to the magnitude of their resultant. The angle between the two forces is

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Q. Two identical forces are acting on a body. The magnitude of each force is equal to the magnitude of their resultant. The angle between the two forces is

KCETKCET 2022

Solution:

$Wkt, R ^{2}= P ^{2}+ Q ^{2}+2 PQ \text{Cos} \theta,$
But $P = Q = R$,
therefore $R ^{2}= P ^{2}+ Q ^{2}+2 PQ \cos \theta$
This implies $\text{Cos} \theta=-1 / 2$
therefore $\theta=120^{\circ}$