Essential University Physics: Volume 1 (3rd Edition)
3rd Edition
ISBN: 9780321993724
Author: Richard Wolfson
Publisher: PEARSON
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Chapter 13, Problem 82P
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 disk of mass 340 g, suspended by a wire with torsional constant 5.00 N·m/rad (Fig. 13.36). 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?
FIGURE 13.36 Problem 82
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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?
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.
This was rejected the first time. Can you please state why this is being rejected?
Chapter 13 Solutions
Essential University Physics: Volume 1 (3rd Edition)
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