The centre of mass of the system of particles depends on
a) masses of the particles
b) Relative position of the particles

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Both a and b are false

Only a is true

Only b is true

Both a and b are true

answer is C.

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Detailed Solution

Only the particle masses and their respective positions affect the system of particles' centre of mass. It depends on the shape and the mass distribution of an object with continuously distributed mass.

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.

Hence the correct answer is both a and b are true.

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