Q4 of 81 Page 225

Three uniform spheres each having a mass M and radius α are kept in such a way that each touches the other two. Find the magnitude of the gravitational force on any of the spheres due to the other two.

Here, the distance between the centers of two spheres is


Therefore, force on one sphere due to another,


The net force thus becomes,



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2

Four particles having masses m, 2m, 3m and 4m are placed at the four corners of a square of edge α. Find the gravitational force acting on a particle of mass m placed at the center.

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Three equal masses m are placed at the three corners of an equilateral triangle of side α. Find the force exerted by the system on another particle of mass m placed at

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(b) At the Centre of the triangle.


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