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A uniform wire frame ABC is in the shape...

A uniform wire frame `ABC` is in the shape of an equilateral triangle in `xy-`plane with centroid at the orgin. Then`:-`

A

If `AB` is removed, the centre of mass of the remaining figure is in fourth quadrant.

B

If `BC` is removed, the centre of mass of the remaining figure is on the positive `Y-`axis.

C

If `AC` is removed, the centre of mass of the remaining figure is in third quadrant.

D

All of above.

Text Solution

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The correct Answer is:
D

When `BC` is removed, frame is symmetric about `Y-`axis`rArr`COM shifts towards `A` i.e. on `Y-`axis only.
When `AB` is removed frame is symmetric about `OY'rArr` shifts towards `C` When AC is removed, frame is symmetric about `OY"rArr` COM shifts towards `B`
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