# A classical mechanics problem by Rishabh Deep Singh

Two wheels which are rotated by some external source with constant angular velocity ($$\omega = \pi \text{ units}$$) in opposite directions as shown in the figure above. A uniform plank of mass $$M = 1\text{ units}$$ is placed symmetrically. The friction coefficient between each wheel and the plank is $$\mu = 1\text{ units}$$. Find the frequency of oscillation, when the plank is slightly displaced along its length ($$L=1 \text{ units}$$) and relapsed.

Details and Assumptions:

• $$g = \pi^2 \text{ units}$$.

• Neglect end effect caused by extra length of plank.

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