The uniform cylinder of mass m and radius R rolls without slipping on the inclined surface. The spring with constant k wraps around the cylinder as it rolls.
Determine the equation of motion for the cylinder by writing its Newton-Euler equations. Determine the numerical value of the period of oscillation of the cylinder using k = 30 N/m, m = 10 kg, R = 30 cm, and θ = 20°.
Figure P9.23
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