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  1. Two bodies of mass 1 kg and 3 kg have position vectors î - 2ĵ + ̂k and -3î - 2ĵ + ̂k respectively. The centre of mass of this system has a position vector:
    1. 2î - ĵ + ̂k
    2. 2î - ĵ - 2̂k
    3. - î - ĵ + ̂k
    4. - 2î + 2̂k
Correct Option: A

The position vector of the centre of mass of two particle system is given by

R =
m1→R1 + m2→R2
m1 + m2

=
1
= [- 8î - 4ĵ + 4̂k] = - 2î - ĵ + ̂k
4



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