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.