Three particles of masses $$1$$ kg, $$32kg$$, and $$2kg$$ are located the vertices of an equilateral triangle of side a. The x, y coordinates of the centre of mass are

Question

Three particles of masses $$1$$ kg, $$32kg$$, and $$2kg$$ are located the vertices of an equilateral triangle of side a. The x, y coordinates of the centre of mass are

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Let the masses $$1$$ kg, $$32kg$$ and $$2$$ kg are located at the vertices A, B and C as shown in figure above. The coordinates of points A, B and C are (0$$, $$0), (a$$, $$0), (a2$$, $$3a2) respectively.The coordinates of centre of mass areXCM $$=$$ $$m1x1+m2y2+m3x3m1+m2+m3$$       $$=$$ [$$1$$×$$0+32$$×$$a+2$$×$$a2$$][$$1+32+2$$] $$=$$ $$5a9YCM$$ $$=$$ $$m1+y1+m2y2+m3y3m1+m2+m3$$         $$=$$ [$$1$$×$$0+32$$×$$0+2$$×$$3a2$$][$$1+32+2$$] $$=$$ $$23a9$$ $$=$$ $$2a33$$

Three particles of masses 1 kg, $\frac{3}{2}$ kg, and 2kg are located the vertices of an equilateral triangle of side a. The x, y coordinates of the centre of mass are

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Three particles of masses 1 kg, 32kg, and 2kg are located the vertices of an equilateral triangle of side a. The x, y coordinates of the centre of mass are

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Three particles of masses 1 kg, $\frac{3}{2}$ kg, and 2kg are located the vertices of an equilateral triangle of side a. The x, y coordinates of the centre of mass are