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stanli121

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## Homework Statement

A car uniformly accelerates. Show an open door that slams shut will do so in simple harmonic motion.

## Homework Equations

## The Attempt at a Solution

This seems more conceptual than mathematical. I considered using T = Ia but the problem is the torque would act on the pivot (point where door connects to car) and be R=0 from the axis so T=0. Then I considered F=ma because the acceleration is known to be constant. But I ran into two problems there. First, the displacement I would need to relate to acceleration to show SHM is not clear whatsoever. Second, wouldn't the force about the pivot be centripetal, thus removing my x and d

^{2}x/dt

^{2}? My newest thought is perhaps choosing a point on the pavement and doing some sort of T = dL/dt type calculation then relating [tex]\theta[/tex] and [tex]\alpha[/tex] that way. Any comments on my ideas or new ideas?

Thanks.

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