Can a ball roll down a sphere without slipping?

Here we find the angle at which an object rolling down a sphere inevitably starts to slip, then interpret the result. In particular, we assess whether it is valid to assume, as we often do, that the object can roll without slipping until the point where it loses contact!

About me: I studied Physics at the University of Cambridge, then stayed on to get a PhD in Astronomy. During my PhD, I also spent four years teaching Physics undergraduates at the university. Now, I'm working as a private tutor, teaching Physics & Maths up to A Level standard.

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