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Question

Six particles each of mass m are placed at the corners of a regular hexagon of edge length a. If a point mass m0 is placed at the centre of the hexagon, then the net gravitational force on the point mass m0 is
  1. 6Gm2a2
  2. 6Gmm0a2
  3. zero
  4. none of these

A
6Gm2a2
B
zero
C
none of these
D
6Gmm0a2
Solution
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The force exerted by each particle placed on the vertices, over the particle at the centre are equal in magnitude and cancel each other vectorially. Thus the resultant force on it is equal to zero.

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