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Updated on : 2022-09-05

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$θ−θ_{2}−θ_{1}$

They will be again lie on same line after a minimum time $T$ say.for this $θ=2π$.This gives $θ_{2}−θ_{1}=2π$Dividing $T$ in both sides we have $T_{′}θ_{2} −T_{′}θ_{1} =T_{′}2π $

Substituting $T_{′}θ_{2} =ω_{2}$ and $T_{′}θ_{1} =ω_{1}$,we have

$T_{′}2π =ω_{2}−ω_{1}$ where $ω_{2}=T_{2}2π $ and $ω_{1}=T_{1}2π $

Then $T_{′}1 =T_{2}1 −T_{1}1 $

This gives $T_{′}=T_{1}−T_{2}T_{1}T_{2} $

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