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Chapter 8: 8-11Q (page 198)
Two spheres look identical and have the same mass. However, one is hollow and the other is solid. Describe an experiment to determine which is which.
The sphere with larger rotational inertia is hollow, and the smaller rotational inertia is a solid sphere.
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A potter is shaping a bowl on a potter's wheel rotating at a constant angular velocity of 1.6 rev/s (Fig. 8鈥�48). The frictional force between her hands and the clay is 1.5 N. (a) How large is her torque on the wheel if the diameter of the bowl is 9.0 cm? (b) How long would it take for the potter's wheel to stop if the only torque acting on it is due to the potter's hands? The moment of inertia of the wheel and the bowl is \(0.11\;{\rm{kg}} \cdot {{\rm{m}}^{\rm{2}}}\).
FIGURE 8-48
Problem 40
Calculate the net torque about the axle of the wheel shown in Fig. 8鈥�42. Assume that a friction torque of\(0.60\;{\rm{m}}\;{\rm{N}}\)opposes the motion.
A bicycle with tires 68 cm in diameter travels 9.2 km. How many revolutions do the wheels make?
A spherical asteroid with radius\(r = 123\;{\rm{m}}\)and mass\(M = 2.25 \times {10^{10}}\;{\rm{kg}}\)rotates about an axis at four revolutions per day. A 鈥渢ug鈥� spaceship attaches itself to the asteroid鈥檚 south pole (as defined by the axis of rotation) and fires its engine, applying a force F tangentially to the asteroid鈥檚 surface as shown in Fig. 8鈥�65. If\(F = 285\;{\rm{N}}\)how long will it take the tug to rotate the asteroid鈥檚 axis of rotation through an angle of 5.0掳 by this method?
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