A solid cylinder of mass 7.2 kg and radius 21 cm is yoked to a spring as shown i

Question

A solid cylinder of mass 7.2 kg and radius 21 cm is yoked to a spring as shown in the figure below. To be precise, the axle of the cylinder is attached to a horizontal spring of force constant 2327 N/m. The cylinder rolls back and forth on a horizontal base without slipping. For simplicity, assume that the spring, the axle and the yoke which connects them have negligible masses compared to the cylinder itself. What is the angular frequency of the cylinder rolling back and forth around the equlibrium position? Answer in units of s-1

Explanation / Answer

angular frequency = (1/2)*sqrt(k/m) = 2.86 s-1

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