If three particles each of mass are placed at the three corners of an equilateral triangle of side , the forces exerted by this system on another particle of mass placed (i) at the mid point of a side and (ii) at the centre of the triangle are respectively |
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a) |
0, 0 |
b) |
c) |
d) |
If three particles each of mass are placed at the three corners of an equilateral triangle of side , the forces exerted by this system on another particle of mass placed (i) at the mid point of a side and (ii) at the centre of the triangle are respectively |
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a) |
0, 0 |
b) |
c) |
d) |
(b)
(i)Gravitational force on the particle placed at mid point of side of length is
Here,
or
(ii)gravitational force on the particle placed at the point , the intersection of three medians is
or
Since, the resultant of and is equal and opposite to