### Rigid Body

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 .