A rod is supported on two rotating grooved rollers, as depicted in Figure 2.42. The rollers rotate

Question:

A rod is supported on two rotating grooved rollers, as depicted in Figure 2.42. The rollers rotate in opposite directions and the coefficient of friction between the rollers and the rod is $\mu_{k}$. Find the natural frequency of the system and describe the behavior of the rod if it is disturbed in the horizontal direction.

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