Two bodies of mass 1,kg and 3,kg have positio | vedclass

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Question

$\mathrm{m}_{1}=1 \mathrm{kg} \quad \mathrm{m}_{2}=3 \mathrm{kg}$

$\vec{\mathrm{v}}_{1}=\hat{\mathrm{i}}+2 \hat{\mathrm{j}}+\hat{\mathrm{k}} \quad

Vedclass · Accepted Answer

$-2\hat i\,\, - \,\,\hat j\,\, + \,\,\hat k$

Vedclass · Answer

$\mathrm{m}_{1}=1 \mathrm{kg} \quad \mathrm{m}_{2}=3 \mathrm{kg}$

$\vec{\mathrm{v}}_{1}=\hat{\mathrm{i}}+2 \hat{\mathrm{j}}+\hat{\mathrm{k}} \quad \vec{\mathrm{v}}_{2}=-3 \hat{\mathrm{i}}-2 \hat{\mathrm{j}}+\hat{\mathrm{k}}$

$\vec{v}_{c m}=\frac{m_{1} \vec{v}_{1}+m_{2} \vec{v}_{2}}{m_{1}+m_{2}}$

$=\frac{1(\hat{i}+2 \hat{j}+\hat{k})+3(-3 \hat{i}-2 \hat{j}+\hat{k})}{1+3}$

$=\frac{\hat{i}+2 \hat{j}+\hat{k}+-9 \hat{i}-6 \hat{j}+3 \hat{k}}{4}$

$=\frac{-8 \hat{i}-4 \hat{j}+4 \hat{k}}{4}=-2 \hat{i}-\hat{j}+\hat{k}$

Two bodies of mass $1\,kg$ and $3\,kg$ have position vectors $\hat i\,\, + \,\,2\hat j\,\, + \,\,\hat k$ and $-\,3\hat i\,\, - \,\,2\hat j\,\, + \,\,\hat k$, respectively. The centre of mass of this system has a position vector

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