Three equal masses of 2 kg each are placed at the vertices of an equilateral triangle and a mass of 4 kg is placed at the centroid of the triangle which is at a distance of 
from each of the vertices of the triangle. The force (in newton) acting on the mass of 4 kg is
Text Solution
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Consider the equilateral triangle as 
with centroid at O. Given, 
The gravitational force on mass 4 kg due to mass 2 kg at P,
Similarly, 
along 
and 
along 
and 
are equal and acting in opposite directions, hence cancel out each other. Then, the resultant force on the mass 4 kg at O.
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