A uniform solid cylinder of radius `R=15cm` rolls over a horizontal plane passing into an inclined plane forming an angle `alpha=30^@` with the horizontal(figure). Find the maximum value of the velocity `v_0` which still permits the cylinder to roll onto the inclined plane section without a jump. The sliding is assumed to be absent.

Answer

`[sqrt((1)/(3)gR(7cosalpha-4))]`