# Spherical pendulum

1. Jul 14, 2012

### RooccoXXI

Hi. I'm trying to make a small simulation of several simple physical systems (C++). I have the differential equation of a spherical pendulum with only the gravity force and without friction.

$\theta'' = \sin(\theta) (\cos(\theta) \phi'^2 − \frac{g}{L})$
$￼\phi'' = −2 \cot(\theta) \theta' \phi'$

I need the equation of spherical pendulum with friction (F = -bv) and with a generalized force (not only gravity), like this equation for the plane pendulum:

$\Omega = \frac{1}{mL} (\cos(\Omega)\overline{F}_{ext}\ \overline{d}$ $− \sin(\Omega) \overline{F}_{ext}\$$\frac{\overline{g}}{g}$− $\frac{b}{L} \Omega')$

Any ideas?

Thank you,
R.

2. Jul 17, 2012

### RooccoXXI

UP, please.

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