The position vectors of two identical particles with respect to the origin in the three-dimensional coordinate system are r 1 and r 2 . The position vector of the centre of mass of the system is given by

Question

The position vectors of two identical particles with respect to the origin in the three-dimensional coordinate system are r 1 and r 2 . The position vector of the centre of mass of the system is given by, r 1 + r 2, 2 r 1 + r 2, r 1 - r 2, r 1 + r 2 2

MARKS App · Accepted Answer

Given, position vector of first particle = r 1 Position vector of second particle = r 2 m 1 = m 2 = m We know that, Centre of mass of system = m 1 r 1 + m 2 r 2 m 1 + m 2 = m r 1 + m r 2 m + m = m r 1 + r 2 2 m = r 1 + r 2 2

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