Problem

A uniform pipe section A of radius r, mass center G, and mass m is gently placed (i.e., wi...

A uniform pipe section A of radius r, mass center G, and mass m is gently placed (i.e., with zero velocity) on a conveyor belt moving with a constant speed υ0 to the right. Friction between the belt and pipe causes the pipe to move to the right and eventually to roll without slip. If μk is the coefficient of kinetic friction between the pipe and the conveyor belt, find an expression for tr, the time it takes for A to start rolling without slip. Hint: Using the methods of Chapter 7, we can show that the force between the pipe section and the belt is constant.