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  • Six-point masses of mass m each are at the vertices of a regular hexagon of side l. Calculate the force on any of the masses.

Six-point masses of mass m each are at the vertices of a regular hexagon of side l. Calculate the force on any of the masses.

 

Answers (1)

Force on A due to B=f_{1}=\frac{Gmm}{l^{2}}=\frac{Gm^{2}}{l^{2}} along B to A

Force on A due to C=f_{2}=\frac{Gmm}{(\sqrt{3}l)^{2}}=\frac{Gm^{2}}{3l^{2}} along C to A

Force on A due to D =f_{3}=\frac{Gmm}{(2l)^{2}}=\frac{Gm^{2}}{4l^{2}} along D to A

Force on A due to E =f_{4}=\frac{Gmm}{(\sqrt{3}l)^{2}}=\frac{Gm^{2}}{3l^{2}} along E to A

 

F=F_{1}+F_{2}+F_{3}=\frac{Gm^{2}}{l^{2}}+\frac{Gm^{2}}{\sqrt{3}l^{2}}+\frac{Gm^{2}}{4l^{2}} along DA

 

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