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Chapter 12: Q. 10 (page 330)
What is the rotational kinetic energy of the earth? Assume the earth is a uniform sphere. Data for the earth can be found inside the back cover of the book.
The rotational kinetic energy of the earth is
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A high-speed drill reaches in .
a. What is the drill's angular acceleration?
b. Through how many revolutions does it turn during this first ?
A thin, uniform rod of length L and mass M is placed vertically on a horizontal table. If tilted ever so slightly, the rod will fall over.
a. What is the speed of the center of mass just as the rod hits the table if there鈥檚 so much friction that the bottom tip of the rod does not slide?
b. What is the speed of the center of mass just as the rod hits the table if the table is frictionless?
Force is exerted on a particle at . What is the torque on the particle about the origin?
In Figure P12.59, an 80 kg construction worker sits down 2.0 m from the end of a 1450 kg
steel beam to eat his lunch. What is the tension in the cable?
A 45 kg figure skater is spinning on the toes of her skates at 1.0 rev/s. Her arms are outstretched as far as they will go. In this orientation, the skater can be modeled as a cylindrical torso (40 kg, 20 cm average diameter, 160 cm tall) plus two rod-like arms (2.5 kg each, 66 cm long) attached to the outside of the torso. The skater then raises her arms straight above her head, where she appears to be a 45 kg, 20-cm-diameter, 200-cm-tall cylinder. What is her new angular velocity, in rev/s?
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