Three identical masses are placed on the three vertices of equilateral triangle of length L then find out net gravitational intensity at the centroid point?

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Three identical masses are placed on the three vertices of equilateral triangle of length L then find out net gravitational intensity at the centroid point?

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Three identical masses are placed on the three vertices of equilateral...

We are finding the net force at the centroid point 'O'.

F = ( G x m x m) / (a)^2 = Gm^2 / a^2

Since the two forces are equal in magnitudes, therefore the resultant force at the center is as shown in the figure.

F net =

=> F net = (3)^0.5 F

=> F net = ( (3)^0.5 x G m^2 ) / a^2

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