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The verge and foliot escapement has received relatively little attention inhorology, despite the fact that it has been used in clocks for ages. We analysethe operation of a verge and foliot escapement in stationary swing. It isdriven by a torque $m=\pm\mu$, switching sign at fixed swing angles$\pm\phi_0$, and $\mu$ is taken to be constant. Friction is assumed to exert atorque proportional to the angular speed. We determine the shape of the swingangle $\varphi(t)$, and compute the period and the swing amplitude of thefoliot analytically, as a function of the model parameters. We find that theperiod of the foliot scales as $P\propto\mu^{-1}$ for weak driving, graduallychanging into $P\propto\mu^{-1/3}$ for strong driving (large $\mu$).

Dynamics of the verge and foliot clock escapement