A uniform, solid metal disk of mass 6.50 kg and diameter 24.0 cm hangs in a horizontal plane, supported at its center by a vertical metal wire. You find that it requires a horizontal force of 4.23 N tangent to the rim of the disk to turn it by 3.34°, thus twisting the wire. You now remove this force and release the disk from rest. (a) What is the torsion constant for the metal wire? (b) What are the frequency and period of the torsional oscillations of the disk? (c) Write the equation of motion for θ ( t ) for the disk.
A uniform, solid metal disk of mass 6.50 kg and diameter 24.0 cm hangs in a horizontal plane, supported at its center by a vertical metal wire. You find that it requires a horizontal force of 4.23 N tangent to the rim of the disk to turn it by 3.34°, thus twisting the wire. You now remove this force and release the disk from rest. (a) What is the torsion constant for the metal wire? (b) What are the frequency and period of the torsional oscillations of the disk? (c) Write the equation of motion for θ ( t ) for the disk.
A uniform, solid metal disk of mass 6.50 kg and diameter 24.0 cm hangs in a horizontal plane, supported at its center by a vertical metal wire. You find that it requires a horizontal force of 4.23 N tangent to the rim of the disk to turn it by 3.34°, thus twisting the wire. You now remove this force and release the disk from rest. (a) What is the torsion constant for the metal wire? (b) What are the frequency and period of the torsional oscillations of the disk? (c) Write the equation of motion for θ(t) for the disk.
A uniform, solid metal disk of mass 6.50 kg and diameter 24.0 cm hangs in a horizontal plane,
supported at its center by a vertical metal wire. You find that it requires a horizontal force of 4.23 N
tangent to the rim of the disk to turn it by 3.34°, thus twisting the wire. You now remove this force and
release the disk from rest.
(a) What is the torsion constant for the metal wire?
(b) What are the frequency and period of the torsional oscillations of the disk?
(c) Write the equation of motion for θ(t) for the disk.
A flat uniform circular disk has a mass of 3.00 kg and a radius of 70.0 cm. It is suspended in a horizontal plane by a vertical wire attached to its center. If the disk is rotated 2.50 rad about the wire, a torque of 0.0600 Nm is required to maintain that orientation. Calculate (a) the rotational inertia of the disk about the wire, (b) the torsion constant, and (c) the angular frequency of this torsion pendulum when it is set oscillating.
You’re working for the summer with an ornithologist who knows you’ve studied physics. She asks you for a noninvasive way to measure birds’ masses. You propose using a bird feeder in the shape of a 50-cm-diameter uniform disk of mass 340 g, suspended by a wire with torsional constant 5.00 Nm/rad(see Figure below). Two birds land on opposite sides and the feeder goes into torsional oscillation at 2.6 Hz. Assuming the birds have the same mass, what is it?
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