Slipping of a Flat Based Solid on a Rough Horizontal Floor with an Analytical Solution for the Tangentially Loaded Disc

摘要

Numerical solutions of the equations for the incipient sliding of a flat-based solid which matches perfectly with the rough horizontal floor on which it rests are presented. It is shown that the force to make a uniform disk rotate by slipping is just over half that required to make it slip without rotation, if the disturbing force is applied tangentially. To move a square lamina most easily a force should be applied at a corner normal to the diagonal there. This force is less than half that required to move the block without rotation and the point of rotation is just less than three-quarters along the diagonal. If the force is applied along one edge it needs to be a little more than half that required to move the block without rotation. The advantage of applying a force at the corner rather than along an edge is about one and a quarter for a square slab.