1.

A plank rests symmetrically on two cylinders which are separated by a distance of 2l and rotate with uniform speed in opposite direction. If the plank is displaced a little and then released, show that the motion of the plank is simple harmonic. Calculate the period of oscillations of the peak. The co-efficient of friction between the plank and either cylinder is `mu`.

Answer» Correct Answer - `2pisqrt(l//mug)`


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