Consider a system of two particles of (fixed) masses m1 and m2 with position vectors r1 and r2 respectively (relative to a fixed origin of coordinates)(adsbygoogle = window.adsbygoogle || []).push({});

a) Expres the total angular momentum L = r1 x mv1 + r2 x mv2 of this two body system in terms of hte cnetre of mass vector R amd the relative coordinate vectpr r = r1 - r2 Interpret your reult

wouldnt it be something like this

[tex] r_{1} = R + \frac{m_{2}}{M} r [/tex]

[tex] r_{2} = R + \frac{m_{1}}{M} r [/tex]

then [tex] \dot{r_{1}} = \dot{R} + \frac{m_{2}}{M} \dot{r} [/tex]

[tex] \dot{r_{2}} = \dot{R} + \frac{m_{1}}{M} \dot{r} [/tex]

then [tex] L = (R + \frac{m_{2}}{M} r) \times m \dot{r_{1}} = \dot{R} + \frac{m_{2}}{M} \dot{r} + (R + \frac{m_{1}}{M} r) \times m \dot{r_{2}} = \dot{R} + \frac{m_{1}}{M} \dot{r} [/tex]

dont think i can go much past this point .... can i ?

please help!

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# Angular momentum

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