Problem 1.264

A uniform solid cylinder of radius $R=15 \mathrm{~cm}$ rolls over a horizontal plane passing into an inclined plane forming an angle $\alpha=30^{\circ}$ with the horizontal (Fig. 1.67 ). 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