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**1. Homework Statement**

a) Find a mechanical system that is approximately governed by [itex]\dot{x}=sin(x)[/itex]

b) Using your physical intuition, explain why it now becomes obvious that x*=0 is an unstable fixed point and x*=[itex]\pi[/itex] is stable.

**2. Homework Equations**

[itex]\dot{x}=sin(x)[/itex] (?)

**3. The Attempt at a Solution**

I'm thinking a pendulum can be used as a mechanical system that varies with sinθ, but I'm not sure how to solidify my answer.

Could it possibly be an inverted pendulum in a very viscous medium?

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