A thin metal disk of mass m=2.00 x 10^-3 kg and radius R=2.20cm is attached at its center to a long fiber. When the disk is turned from the relaxed state through a small angle theta, the torque exerted by the fiber on the disk is proportional to theta. Find an expression for the torsional constant k in terms of the moment of inertia I of the disk and the angular frequency w of small, free oscillations. The disk, when twisted and released, oscillates with a period T of 1.00 s. Find the torsional constant k of the fiber.

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2) Help to find only (b) the value of the torsional constant k of the fiber.
Don't need to find the expression of the torsional constant.

A thin metal disk of mass m=2.00 x 10^-3 kg and radius R=2.20cm is attached at its center to a long
fiber. When the disk is turned from the relaxed state through a small angle theta, the torque exerted
by the fiber on the disk is proportional to theta. Find an expression for the torsional constant k in
terms of the moment of inertia I of the disk and the angular frequency w of small, free oscillations.
The disk, when twisted and released, oscillates with a period T of 1.00 s. Find the torsional constant
k of the fiber.
Transcribed Image Text:A thin metal disk of mass m=2.00 x 10^-3 kg and radius R=2.20cm is attached at its center to a long fiber. When the disk is turned from the relaxed state through a small angle theta, the torque exerted by the fiber on the disk is proportional to theta. Find an expression for the torsional constant k in terms of the moment of inertia I of the disk and the angular frequency w of small, free oscillations. The disk, when twisted and released, oscillates with a period T of 1.00 s. Find the torsional constant k of the fiber.
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