JEE Main & Advanced Mathematics Statistics Lami's Theorem

Lami's Theorem

Category : JEE Main & Advanced

If three forces acting at a point be in equilibrium, each force is proportional to the sine of the angle between the other two. Thus if the forces are \[P,\,\,Q\] and \[R;\] \[\alpha ,\,\,\beta ,\,\,\gamma \]  be the angles between \[Q\] and \[R,\,\,R\] and \[P,\,\,P\] and \[Q\] respectively, also the forces are in equilibrium, we have, \[\frac{P}{\sin \alpha }=\frac{Q}{\sin \beta }=\frac{R}{\sin \gamma }\].    

 

 

The converse of this theorem is also true.


You need to login to perform this action.
You will be redirected in 3 sec spinner