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Force

Three particl...

Question

Three particles of mass m are kept at the vertices of an equilateral triangle. One of the mass is kept at the origin and the length of the side of the triangle is a. The resultant force acting on a particle placed at one of the vertex (other than the origin) is along

A

a line directed towards the centroid

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B

a line directed towards one of the sides

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C

a line directed towards the perpendicular to one of the forces

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D

a line directed towards the origin

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Solution

The correct option is A a line directed towards the centroid
The force acting on a mass due to other two masses will make an angle of 60 degrees with each other.
Thus, the resultant force will be along the angular bisector of those two forces i.e along the line joining the centroid
The correct option is (a)

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