An object comprises of a uniform ring of...

An object comprises of a uniform ring of radius `R` and its uniform chord `AB` (not necessarity made of the same material) as shown. Which of the following can not be the centre of mass of the object?

`(R/3,R/3)`

`R/sqrt(2),R/sqrt(2)`

`(R/4,R/4)`

None of these

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The correct Answer is:

The center of mass of the object must lie on the linie segment joining (0,0) and (R/2, R/2) is the center of mass of the chord.

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