(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

What is a mechanical analog for xDOT=sin(x) .?Explain how using this analog, it becomes obvious that x*=0 is an unstable fixed point and that x*=pi is a stable fixed point.

2. Relevant equations

dx/dt=sin(x)

The analytical solution to this problem is

t=ln[(csc(xinitial)+cot(xinitial)/csc(x)+cot(x)]. But that is not what I want.

I attempted to think of a circle moving around and measure the distance x from the y-axis of a point on the edge of the circle. Unfortunately this would be an analog for dy/dx=sinx.

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# (Nonlinear Dynamics)Find a Mechanical Analog dx/dt=sin(x).

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