# A classical mechanics problem by Steven Chase

A $$1 kg$$ bead slides down a friction-less wire in the shape of the following curve, where $$x$$ is the horizontal direction and $$y$$ is the vertical direction.

$\large{y = e^{-x/10} cos(x)}$

There is a uniform downward gravitational acceleration $$g = 10 m/s^2$$.

The bead starts at rest at $$(x,y) = (0m,1m)$$.

What is the magnitude of the net force on the bead when it is at the peak (zero-slope) in the vicinity of $$x = 4 \pi$$? Give your answer to 3 decimal places.

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