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Two homogeneous spheres A and B of masse...

Two homogeneous spheres A and B of masses m and 2m having radii 2a and a respectively are placed in touch . The distance of the centre of mass from the first sphere is

A

a

B

2a

C

3a

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
We assume that origin is situated at `O_(1)`

`:.x_(1)=0,m_(1)=m`
`x_(2)=3a,m_(2)=2m`
`:.x_(cm)=(m_(1)x_(1)+m_(2)x_(2))/(m_(1)+m_(2))`
`=((mxx0)+(2mxx3a))/(m+2m)`
`=(6ma)/(3m)=2a`
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Knowledge Check

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