Title: cylinder touching wall Post by: pradeep123 on December 31, 2008, 05:06:14 pm a cylinder is on a rough floor with its axis horizontal. it is touching a vertical wall (also rough). a cross sectional plane perpendicular to axis going through center of mass would be a circle with two points touching wall and floor , both have equal roughness of mu. cylinder masss is W. the question is the maximum couple ( around the axis) that the cylinder could withstand without slipping.
my approach is as follows 1. freebody diagram with , frictional forces on wall and floor and normal forces + weight + couple M 2. resolve forces (2 equations) M has no contributiion 3. taking moments from centre ( M present) 4 two inequalities for F< mu R for floor and wall gives 5 equations , 5. get all quantities using 3 equations taking one frictional force as parameters 6. plug in that in two inequalities which will give X>F>Y inequality 7. from that i got X>y which tells me what my M is I dont seem to get the book answer which is Wg(mu)(mu+1)/(mu^2+1) have i missed something? Title: Re: cylinder touching wall Post by: FuKwun Hwang on December 31, 2008, 09:48:12 pm Could you attach a simple drawing for your system and write down your equations?
