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Two particles whose masses are 10 kg and...

Two particles whose masses are 10 kg and 30 kg and their position vectors are `hati+hatj+hatk` and `-hati-hatj-hatk` respectively , would have the centre of mass at _______ .

A

`-(hati+hatj+hatk)/(2)`

B

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

C

`-(hati+hatj+hatk)/(4)`

D

`(hati+hatj+hatk)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
A
`bar(r_(C.M.))= (m_(1)vecr+m_(2)barr_(2))/(m_(1)+m_(2))`
`=(10(hati+hatj+hatk)+30(-hati-hatj-hatk ))/(10+30)`
`(20(hati+hatj+hatk))/(40)`
`= (hati+hatj+hatk)/(2)`
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