A) \[\frac{a}{\pi -2}\]
B) \[\frac{a}{2\pi -2}\]
C) \[\frac{a}{4\pi -2}\]
D) \[\frac{a}{4\pi -2}\]
Correct Answer: D
Solution :
As, \[{{X}_{cm}}=\frac{{{m}_{1}}{{X}_{1}}-{{m}_{2}}{{X}_{2}}}{{{m}_{1}}-{{m}_{2}}}\] Here, \[{{m}_{1}}={{m}_{1}}{{m}_{2}}=\frac{m}{2\pi }\] [\[n{{a}_{2}}\] area holds mass m] and \[{{X}_{1}}=0\,\,:\,\,{{X}_{2}}=\frac{a}{2}\] \[{{X}_{cm}}=-\frac{a}{4\pi -2}\] While Y-coordinate does not change due to symmetry and is \[{{Y}_{cm}}=0\]
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