A cylinder rolling over an edge without jump A cylinder of

Last updated: 6/13/2023

A cylinder rolling over an edge without jump A cylinder of radius R is in pure rolling at speed u on a horizontal plane which is passing into an inclined plane of inclination angle a as shown in figure Find maximum value of u for which cylinder moves over to inclined plane without any jump at point O Sot If w is the angular speed of cylinder when it transits to incline plane then WE theorem by We use 1 2 mu 1 2 1 2m 1 1 mg R 1 cosa 1 2 1 2 MR w 1 43 1 Cosa 4 3R for cylinder not to take a jump at 0 we use N 0 just at this point w w R w g Cos 2 ing Cora L et 1 2 143 12 04 17 Casa 9 Cos 2 u 3R 7 Cas 4 Aus N mw R 2D