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in Physics by (71.9k points)

Six objects are placed at the vertices of a regular hexagon. The geometric center of the hexagon is at the origin with objects 1 and 4 on the x-axis (see figure). The mass of the kth object is mk = k M |cosqk | where i is an integer, M is a constant with dimension of mass, and qk is the angular position of the kth verted measured from the positive x-axis in the counter-clockwise sense. If the net gravitational force on a body at the centroid vanishes, the value of i is

(A) 0 

(B) 1 

(C) 2 

(D) 3

1 Answer

+1 vote
by (68.7k points)
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Best answer

Correct Option :- (A) 0

Explanation :-

For Gravitational equilibrium (FNet) ⇒0 

All Diagonal opposite should have equal mass 

2i° M cos 60°⇒ 4i° M cos(60° + 180°) 

Thus i = 0

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