Two identical rollers are mounted with their axes parallel, in a horizontal plane, a distance =21.8 cm apart. the two rollers are rotating inwardly at the top with the same angular speed a long uniform board is laid across them in a direction perpendicular to their axes. the board of mass m=3.52 kg is originally placed so that its center of mass lies a distance x0=10 cm from the point midway between the rollers. when the board is released it is observed that it oscillates horizontally at some frequency even though there is no spring involved. the coefficient of friction between the board and rollers is =0.653. what is the period of the motion?