Two particles whose masses are $$30$$ kg and $$10$$ kg and their position vectors are −ı$$^$$−ȷ$$^$$−$$k^$$ and $$i^+j^+k^$$ respectively would have the centre of mass at position :

Correct option is 1−(ı^+ȷ^+k^)/2

Questions

Two particles whose masses are 30 kg and 10 kg and their position vectors are $- \hat{ı} - \hat{ȷ} - \hat{k}$ and $\hat{i} + \hat{j} + \hat{k}$ respectively would have the centre of mass at position :

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−(ı^+ȷ^+k^)/2

ı^+ȷ^+k^/2

−(ı^+ȷ^+k^)/4

(ı^+ȷ^+k^)/2

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detailed solution

Correct option is A

∵ R→cm=m1r→1+m2r→2m1+m2=10(i^+j^+k^)+30(−i^−j^−k^)10+30=10i^+10j^+10k^−30i^−30j^−30k^40=−20i^−20j^−20k^40R→cm=−(i^+j^+k^)2

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Two particles whose masses are 30 kg and 10 kg and their position vectors are −ı^−ȷ^−k^ and i^+j^+k^ respectively would have the centre of mass at position :

Unlock the full solution & master the concept.

Ready to Test Your Skills?

free study material

Two particles whose masses are 30 kg and 10 kg and their position vectors are $- \hat{ı} - \hat{ȷ} - \hat{k}$ and $\hat{i} + \hat{j} + \hat{k}$ respectively would have the centre of mass at position :