A uniform solid cylinder of radius \( R \) roll's over a horizontal plane passing into an inclin...

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A uniform solid cylinder of radius \( R \) roll's over a horizontal plane passing into an inclined plane forming an angle \( \alpha \) with the horizontal as shown in figure-5.143. Find the maximum value of the velocity \( v \) which still permits the cylinder to roll onto the inclined plane section without a jump. The sliding is assumed to be absent.
Figure \( 5.143 \)
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