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Q.

Particles of masses 1kg and 3kg are at (2i+5j+13k)m and (−6i+4j−2k)m then instantaneous position of their centre of mass is

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a

14(−16i+17j+7k)m

b

14(−8i+17j+7k)m

c

14(−6i+17j+7k)m

d

14(−6i+17j+5k)m

answer is A.

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Detailed Solution

r→cm=m1r→1+m2r→2m1+m2
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Particles of masses 1kg and 3kg are at (2i+5j+13k)m and (−6i+4j−2k)m then instantaneous position of their centre of mass is