I have been trying to find the speed of a point mass sliding with friction ((adsbygoogle = window.adsbygoogle || []).push({}); f=μN) in a hemispherical bowl. Start at the top at rest. So far I have -μN+mgcosθ=maandN=mgsinθ+mv^{2}/Rwhereθis the angle below horizontal from the center of the sphere andRis the radius of the sphere. I know it likely does not have a simple solution but would be happy with an approximate solution for smallμ.

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# I Friction in a hemispherical bowl

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