Is that SHM ?

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

Details and asumptions

\bullet μ=39.4784,l=80,g=10\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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