Is that SHM ?

Classical Mechanics Level 4

A uniform rod is placed on two spinning wheels (\(\omega = 20\)) with the fixed axes separated by a distance \(l\) as shown. The coefficient of friction between rod and wheel is \(\mu\). If rod perform SHM then find time period if not then answer 0.

Details and asumptions

\(\bullet\) \(\mu = 39.4784, l=80, g=10\)

\(\bullet\) All the values above are in SI units.

\(\bullet\) Approximate answer to nearest integer.

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