Four particle of masses math xmlns=http://www.w3.org/1998/Math/MathML class=wrs_chemistrymi...

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Four particle of masses math xmlns=http://www.w3.org/1998/Math/MathML class=wrs_chemistrymim/mimo,/momo /momn2/mnmo /momim/mimo,/momo /momn3/mnmo /momim/mi/math and math xmlns=http://www.w3.org/1998/Math/MathML class=wrs_chemistrymn4/mnmo /momim/mi/math are arranged at the corners of a parallelogram with each side equal to \( a \) and one of the angle between two adjacent sides is \( 60^{\circ} \). The parallelogram lies in the \( x-y \) plane with mass \( m \) at the origin and math xmlns=http://www.w3.org/1998/Math/MathML class=wrs_chemistrymn4/mnmo /momim/mi/math on the \( x \)-axis. The centre of mass of the arrangement will be located at
(a) \( \left(\frac{\sqrt{3}}{2} a, 0.95 a\right) \)
(b) \( \left(0.95 a, \frac{\sqrt{3}}{4} a\right) \)
(c) \( \left(\frac{3 a}{4}, \frac{a}{2}\right) \)
(d) \( \left(\frac{a}{2}, \frac{3 a}{4}\right) \)
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