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Math Help - centre of mass help proof

  1. #1
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    centre of mass help proof

    can someone please guide/ show me how to do this question, ?

    thanks
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  2. #2
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    Re: centre of mass help proof

    It is impossible to do that without knowing v_1, v_2, v_1*, and v_2* mean! We might guess that v_1 and v_2 are the speeds of the two objects but that should be given in the problem.
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  3. #3
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    Re: centre of mass help proof

    Quote Originally Posted by HallsofIvy View Post
    We might guess that v_1 and v_2 are the speeds of the two objects but that should be given in the problem.
    If $v_1$ and $v_2$ are indeed speeds in the lab frame and $v_1^*$, $v_2^*$ are speeds in the center-of-mass frame, then use the definitions $v_i^*=\frac{dr^*_i}{dt}$, $v_i=\frac{dr_i}{dt}$ and the definition of $R$ to rewrite the left-hand side $m_1v_1^*$.
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