This was part of the final in my ODE class last semester:(adsbygoogle = window.adsbygoogle || []).push({});

"Design a pendulum to be used as a clock. It should include friction and a forcing function. "

Of course, by "design" I mean write the equation of motion. My class did not come up with very good answers, I would like to see what you guys come up with.

This was my solution (which I will explain):

[tex] m\ddot{x} + b\dot{x}^2 + mglSin(x) = C\delta (x - x_m_a_x) [/tex]

Where m is the mass, b is the dampening constant and L is the length of the pendulum. C is the constant that took most of the work, finding the magnitude of the delta function.

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# An open ended ODE problem

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