Two identical rollers are mounted with their axes parallel, in a horizontal plan

Question

Two identical rollers are mounted with their axes parallel, in a horizontal plane, a distance 2d = 23.6? 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. The coefficient of friction between the board and rollers is ?k = 0.653. What is the period (s) of the motion?

Explanation / Answer

Relevant equations
-------------these might help
x(t) = Acos(t+phi)
T = 2(sq)(l/2g)

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