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  • The position vector of the head and tail of radius vectors are <img alt="2\hat{i}+\hat{j}+\hat{k}\; \; and\; \; 2\hat{i}-3\hat{j}+\hat{k}." src="http://entrancecorner.oncodecogs.com/gif.latex?2%5Ch

The position vector of the head and tail of radius vectors are 2\hat{i}+\hat{j}+\hat{k}\; \; and\; \; 2\hat{i}-3\hat{j}+\hat{k}. The linear momentum is 2\hat{i}+3\hat{j}+\hat{k}. The angular momentum is

Option: 1

4\hat{i}-8\hat{k}\; \;


Option: 2

\; 2\hat{i}+\hat{j}+\hat{k}\;


Option: 3

\; \; 2\hat{i}-3\hat{j}+\hat{k}\;


Option: 4

\; 2\hat{i}+3\hat{j}+\hat{k}


Answers (1)

best_answer

\\*\vec{r}=\vec{r}_{head}-\vec{r}_{tail}=(2\hat{i}+\hat{j}+\hat{k})-(2\hat{i}-3\hat{j}+\hat{k})=4\hat{j}\\*\\*\vec{p}=2\hat{i}+3\hat{j}+\hat{k}\\*\\*\therefore Angular\; \; momentum\; \; =\vec{L}=\vec{r}\times \vec{p}=4\hat{j}\times (2\hat{i}+3\hat{j}+\hat{k})\\*\\*=-8\hat{k}+4\hat{i}=4\hat{i}-8\hat{k}

 

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Ritika Jonwal

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