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KCET 2021
MCQ (Single Correct Answer)
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-0

Two bodies of masses $$8 \mathrm{~kg}$$ are placed at the vertices $$A$$ and $$B$$ of an equilateral triangle $$A B C$$. A third body of mass $$2 \mathrm{~kg}$$ is placed at the centroid $$G$$ of the triangle. If $$A G=B G=C G=1 \mathrm{~m}$$, where should a fourth body of mass $$4 \mathrm{~kg}$$ be placed, so that the resultant force on the $$2 \mathrm{~kg}$$ body is zero?

A
At $$C$$
B
At a point $$P$$ on the line $$C G$$ such that $$P G=\frac{1}{\sqrt{2}} \mathrm{~m}$$
C
At a point $$P$$ on the line $$C G$$ such that $$P G=0.5 \mathrm{~m}$$
D
At a point $$P$$ on the line $$C G$$ such that $$P G=2 \mathrm{~m}$$
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