Figure 2.82 shows a metal block supported on two identical cylindrical rollers rotating in opposite directions at the same angular speed. When the center of gravity of the block is initially displaced by a distance \(x\), the block will be set into simple harmonic motion. If

the frequency of motion of the block is found to be \(\omega\), determine the coefficient of friction between the block and the rollers.

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+ 00000 m 00000 (a) FIGURE 2.81 Mass connected to springs in two ways. m 00000000 (b)