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Mechanical Oscillations

Problem 4.28

A uniform rod is placed on two spinning wheels as shown in Fig. 4.6.4.6 . The axes of the wheels are separated by a distance l=20 cml=20 \mathrm{~cm}, the coefficient of friction between the rod and the wheels is k=0.18k=0.18. Demonstrate that in this case the rod performs harmonic oscillations. Find the period of these oscillations.

Reveal Answer
T=π2l/kg=1.5 sT=\pi \sqrt{2 l / k g}=1.5 \mathrm{~s}
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