The maximum height within a bowl using friction.

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An ant is trying to climb out of a semi spherical bowl that has a radius of 10cm. The static coefficient is .03. How high can the ant reach before it slides back down to the center of the bowl.
 
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Try using [itex]tan(\theta)=\mu[/itex] with [itex]\theta[/itex] being angle of the surface from horizontal.