2 kg at origin, 3 kg at x=5 cm, and 6 kg at x=10 cm. The distance of the centre of mass of the system from the origin is

Question

2 kg at origin, 3 kg at x=5 cm, and 6 kg at x=10 cm. The distance of the centre of mass of the system from the origin is
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Solution 1

The center of mass (COM) of a system is given by the formula:

COM = (m1x1 + m2x2 + m3*x3) / (m1 + m2 + m3)

where m1, m2, m3 are the masses and x1, x2, x3 are their respective distances from the origin.

Here, m1 = 2 kg, m2 = 3 kg, m3 = 6 kg and x1 = 0 cm, x2 = 5 cm, x3 = 10 cm.

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