A uniform thin rigid rod of mass is supported by two rotating rollers
whose axes are separated by a fixed distance . The rod is initially placed
at rest asymmetrically.
1. Assume that the rollers rotate in opposite directions. The coefficient
of kinetic friction between the bar and the rollers is . Write the
equation of motion of the bar and solve for the displacement of the center of the bar from roller (1),
assuming and .
2. Now consider the case in which the directions of rotation of the rollers
are reversed, calculate the displacement ,assuming and .