Physics Center of Mass Center of Mass of Discrete Particle System, Regular Bodies & Composite Bodies MCQ (Single Correct)

The center of mass of three particles of mass and 3 kg is at with reference to a fixed coordinate system. Where should a fourth particle of mass 4 kg be placed, so that the centre of mass of the system of all particles shifts to a point ?

A
B
C
D

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The correct answer is:
B

Coordinates of initial center of mass,

When center of mass shifts to

… (ii)

Solving eq. (i) and (ii), we get

Similarly,
The fourth particle must be placed at the point ( ).

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