Q.

In the diagram shown below, m1 and m2 are the masses of two particles and x1 and x2 are their respective distances from the origin O. The centre of mass of the system is [J&K CET 2011]

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a

m1x2 + m2x2m1 + m2

b

m1 + m22

c

m1x1 + m2x2m1 + m2

d

m1x2 + x1x2m1 + m2

answer is A.

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Detailed Solution

The centre of mass of the system,                       rCM=m1x1+m2x2m1+m2
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In the diagram shown below, m1 and m2 are the masses of two particles and x1 and x2 are their respective distances from the origin O. The centre of mass of the system is [J&K CET 2011]