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In equilibrium the mass hangs a distance $l_0$ vertically below the edge of the cylinder.

Find the potential energy if the pendulum has swung to an angle $\phi$ from the vertical.

The definition for potential energy is

$$

U(\mathbf{r}) = -W(\mathbf{r}_0\to\mathbf{r}) = -\int_{\mathbf{r}_0}^{\mathbf{r}}\mathbf{F}(\mathbf{r}')\cdot d\mathbf{r}'

$$

How do I find the potential for this unusual pendulum?