Pot pomorscakov 4, 6320 Portoroz, Slovenia
University of Ljubljana, Faculty of Maritime Studies and Transportation
The Nearly Horizontally Rolling of a Thick Disk on a Rough Plane
2008, vol. 13, no. 4, pp. 344-354
In the paper the analytical solution of the partially linearized equations of motion of nearly horizontally rolling of a thick rigid disk on a perfectly rough horizontal plane under the action of gravity is given in terms of Whittaker functions. The solution is used to obtain the asymptotic solutions for a very small inclination angle, the study of unilateral contact between a disk and a plane and the study of disk colliding motion.