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A spherical ball of mass m and radius r rolls without slipping on a rough concave surface of large radius R. It makes small oscillations about the lowest point. Find the time period.
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3 Answers
283s = Idω/rdt
So, ma=mgsinθ-Idω/rdt
Again, dω/dt = a/(R-r)
So,
ma=mgsinθ-Ia/(R-r)
a= mgsinθ/(m+I/(R-r))
For small oscillations, a= mgθ/(m+I/(R-r))
