A) (6, 6)
B) (3, 3)
C) (1, 1)
D) (2, 2)
E) (5, 5)
Correct Answer: D
Solution :
If 3 masses are equal ie, \[{{m}_{1}}={{m}_{2}}={{m}_{3}}\] then coordinate of the centre of mass \[(x,y)=\left[ \frac{{{m}_{1}}{{x}_{1}}+{{m}_{2}}{{x}_{2}}+{{m}_{3}}{{x}_{3}}}{{{m}_{1}}+{{m}_{2}}+{{m}_{3}}}, \right.\] \[\left. \frac{{{m}_{1}}{{y}_{1}}+{{m}_{2}}{{y}_{2}}+{{m}_{3}}{{y}_{3}}}{{{m}_{1}}+{{m}_{2}}+{{m}_{3}}} \right]\] \[=\left[ \frac{m+2m+3m}{3m},\frac{m+2m+3m}{3m} \right]\] \[=\left[ \frac{6m}{3m},\frac{6m}{3m} \right]\] \[=[2,2]\]
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