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Four particles, each of mass 1kg are pla...

Four particles, each of mass `1kg` are placed at the corners of a square `OABC` of side `1m`. `O` is at the origin of the coordinate system. `OA` and `OC` are aligned along positive X-axis and positive Y-axis respectively. The position vector of the centre of mass is (in `m`)

A

`(hati-hatj)`

B

`hati+hatj`

C

`(1)/(2)(hati-hatj)`

D

`(1)/(2)(hati+hatj)`

Text Solution

Verified by Experts

The correct Answer is:
D

The positions of the particles are as shown in the figure.
Their centre of mass is at M (intersection of diagonals).
The co - ordinates of M are `((1)/(2), (1)/(2))`
`therefore" The position vector of M, is"`
`x hati+yhatj=(1)/(2)hati+(1)/(2)hatj=(1)/(2)(hati+hatj)`
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