A uniform sphere of mass m and radius r is set free from the top edge of a semicircle halfpipe with radius R. If R > r, what is the time-dependent velocity equation v(t) for the sphere in terms of t, m, r, R and g ignoring any effects of friction?
Could anybody help me derive the differential equations?

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i think you can use conservation of energy principle!!

I doubt \[mgh = \frac{ 1 }{ 2 }mv^2\] will get me something in terms of t

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