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Two bodies of masses m(1) and m(2) are s...

Two bodies of masses `m_(1)` and `m_(2)` are separated by a distance R. The distance of the centre of mass of the bodies from the mass `m_(1)` is

A

`(m_(2)R)/(m_(1)+m_(2))`

B

`(m_(1)R)/(m_(1)+m_(2))`

C

`(m_(1)m_(2))/(m_(1)+m_(2))R`

D

`(m_(1)+m_(2))/(m_(1))R`

Text Solution

Verified by Experts

The correct Answer is:
A
Coordinates of masses `m_(1)` and `m_(2)` are (0,0) and (R,0) respectively.
`:.` The position of the centre of mass,
`x_("cm")=(m_(1)xx0+m_(2)xxR)/(m_(1)+m_(2))=(m_(2)R)/(m_(1)+m_(2))`
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