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:(adsbygoogle = window.adsbygoogle || []).push({});

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 onlypartially.

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# Newton should have rediscovered the law of lever!

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