A small 0.02 kg cylinder can slide without friction on a shaft that is attached

ID: 2103158 • Letter: A

Question

A small 0.02 kg cylinder can slide without friction

on a shaft that is attached to a horizontal turntable. The

shaft also passes through the coils of a spring with a

spring constant of 500 N/m, which is attached to the

turntable at one end, and to the cylinder at the other

end. The equilibrium length of the spring is equal to

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 an angular speed of

150 rad/s. What is the period (in seconds) of the

oscillations performed by the cylinder?

omega = 150 rad/s

time = 2*pi/omega = 2*pi/150 = 0.0418879 sec

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