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Math Help - Motion in polar coordinates

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    Motion in polar coordinates

    A particle is under the action of a central force F.(r, \theta) are polar coordinates in the plane of action so that \textbf{F}=F(r) \textbf{e}_r. I need to find F(r) given that r(\theta)=\frac{a}{\sinh(\omega \theta)}.

    So \ddot{r}-r\dot{\theta}^2=F(r) and the transverse component of the acceleration is 0.

    Can someone help me solve the above using the definition of r to find F(r)?

    Thanks in advance.
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    No need for help - I managed to do it.
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