Block sliding off a table

A small block slides on a horizontal friction-less surface \(AB\) of a table with speed \(\frac { 1 }{ 2 } \sqrt { gR } \). At some point \(B\), the track becomes circular with radius \(R\) (look at the diagram). The block leaves the table at a certain point \(C\). Determine the angle \(\alpha\).

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