Essential University Physics
4th Edition
ISBN: 9780134988559
Author: Wolfson, Richard
Publisher: Pearson Education,
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Textbook Question
Chapter 13, Problem 81P
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.
The pendulum in the figure consists of a uniform disk with radius r = 15.0 cm and mass 880 g attached to a uniform rod with length L =
570 mm and mass 270 g. (a) Calculate the rotational inertia of the pendulum about the pivot point. (b) What is the distance between
the pivot point and the center of mass of the pendulum? (c) Calculate the period of oscillation.
L.
Chapter 13 Solutions
Essential University Physics
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