Question

the centre of mass of a system of three particle of masses 1g,2g,and 3g is taken as the origin of a coorsinate system . the position vector of fourth particle of mass 4g such that the centre of mass of the four particle system lies at the point (1,2,3)is a(i+2j+3k),where a is a constant. the value of a is.find the answer with solution

Answer 1

Given that the center of mass of 1g,2g,3g is origin. So we can take the whole mass(6g) to be concentrated at origin.
Detailed solution is in attachment.

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