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Centre of mass of two particles will be nearer to lighter particle

Centre of mass of the rigid body depends on reference frame used.

Centre of mass of the system of particles depends on the masses of the particles.

Centre mass must lie with in the body.

answer is C.

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Detailed Solution

All forces add up to zero in any system of particles. Their centre of mass is independent of the forces operating on the particles as a result.

The formula for the center of mass of the particle is,

$x = \frac{m_{1} x_{1} + m_{2} x_{2}}{m_{1} + m_{2}} y = \frac{m_{1} y_{1} + m_{2} y_{2}}{m_{1} + m_{2}} z = \frac{z_{1} m_{1} + m_{2} z_{2}}{m_{1} + {m_{2}}^{}}$

Only the mass and position of the particles affect the centre of mass of x, y, and z. Also, it will depend on the particles' relative positions (i.e distance between them).

Hence the correct answer is Centre of mass of the system of particles depends on the masses of the particles..

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