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bobred
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Homework Statement
Find the equation of motion, see diagram. Masses are P1 2m and P2 3m.
Homework Equations
Particle 1
[tex]\texttt{T}_1=\texttt{T}_1\texttt{e}_\theta[/tex]
[tex]\texttt{N}_1=\texttt{N}_1\texttt{e}_r[/tex]
[tex]\texttt{W}_1=-2mg\sin\theta{e}_r-2mg\cos\theta{e}_\theta[/tex]
Particle
[tex]\texttt{T}_2=\sin\theta{e}_r+\cos\theta{e}_\theta[/tex]
[tex]\texttt{W}_2=-3mg\sin\theta{e}_r-3mg\cos\theta{e}_\theta[/tex]
The Attempt at a Solution
Using Newton's 2nd law [tex]m\texttt{a}=\texttt{F}[/tex]
P1
[tex]-2mR\dot{\theta}^2\texttt{e}_r+2mR\ddot{\theta}\texttt{e}_\theta=-2mg\sin\theta{e}_r-2mg\cos\theta{e}_\theta+\texttt{N}_1\texttt{e}_r+\texttt{T}_1\texttt{e}_\theta[/tex]
P2
[tex]-3mg=\sin\theta{e}_r+\cos\theta{e}_\theta-3mg\sin\theta{e}_r-3mg\cos\theta{e}_\theta[/tex]
Does what I have done look ok? The string is a model string so [tex]\texttt{T}_1=-\texttt{T}_2[/tex]. How can I find [tex]\texttt{N}[/tex] and [tex]\texttt{T}[/tex]?
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