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Newton should have rediscovered the law of lever!

  1. Sep 11, 2004 #1
    say i have a closed system of two weights in evacuated space on some distance between them. at the beginning they start the mutual attraction without initial push. conservation of impulse requires:
    d(p_1+p_2)=0
    d(d(m_1x_1+m_2x_2)/dt)=0
    if x_1=D_1 and x_2=-D_2 then you get the law of lever as condition for equilibrium in the system:
    m_1/m_2=D_2/D_1
    but
    d(p_1+p_2)=(F_1+F_2)dt=0 so you get Newton III as condition for equilibrium.
    however, the law of lever is m_1/m_2=D_2/D_1=F_1/F_2 so Newton respects the law of lever only partially.
     
  2. jcsd
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