Triangle Law of Forces
Category : JEE Main & Advanced
If three forces, acting at a point, be represented in magnitude and direction by the sides of a triangle, taken in order, they will be in equilibrium.
Here \[\overrightarrow{AB}=P,\ \ \ \overrightarrow{BC}=Q,\ \ \overrightarrow{CA}=R\]
In triangle ABC, we have \[\overrightarrow{AB}+\overrightarrow{BC}+\overrightarrow{CA}=0\]
\[\Rightarrow P+Q+R=0\]
Hence the forces \[P,\,\,Q,\,\,R\] are in equilibrium.
Converse : If three forces acting at a point are in equilibrium, then they can be represented in magnitude and direction by the sides of a triangle, taken in order.
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