A small cylinder of mass m can slide without friction on a shaft that is attached to a tur...
A small cylinder of mass m can slide without friction on a shaft that is attached to a turntable, as shown in the figure. The shaft also passes through the coils of a spring with spring constant k, which is attached to the turntable at one end, and to the cylinder at the other end. The equilibrium length of the spring (unstretched and uncompressed) matches the radius of the turntable; thus, when the turntable is not rotating, the cylinder is at equilibrium at the center of the turntable. The cylinder is given a small initial displacement and, at the same time, the turntable is set into uniform circular motion with angular speed ω. Calculate the period of the oscillations performed by the cylinder. Discuss the result.
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