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Chapter 1: Q28DQ (page 1)
A gyroscope takes 3.8 s to precess 1.0 revolution about a vertical axis. Two minutes later, it takes only 1.9 s to precess 1.0 revolution. No one has touched the gyroscope. Explain.
The spinning gyroscope has slowed down which doubled the precession angular speed.
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If ,what must be true about the directions and magnitudes of and if ? What must be true about the directions and magnitudes of role="math" localid="1647990633202" and if ?
In an experiment, a shearwater (a seabird) was taken from its nest, flown 5150 km away, and released. The bird found its way back to its nest 13.5 days after release. If we place the origin at the nest and extend the +x-axis to the release point, what was the bird鈥檚 average velocity in (a) for the return flight and (b) for the whole episode, from leaving the nest to returning?
In March 2006, two small satellites were discovered orbiting Pluto, one at a distance of 48,000 km and the other at 64,000 km. Pluto already was known to have a large satellite Charon, orbiting at 19,600 km with an orbital period of 6.39 days. Assuming that the satellites do not affect each other, find the orbital periods of the two small satellites withoutusing the mass of Pluto.
Equation (12.7) shows that an area ratio of 100 to 1 can give 100
times more output force than input force. Doesn鈥檛 this violate conservation
ofenergy? Explain.
You decide to visit Santa Claus at the north pole to put in a good word about your splendid behavior throughout the year. While there, you notice that the elf Sneezy, when hanging from a rope, produces a tension of in the rope. If Sneezy hangs from a similar rope while delivering presents at the earth鈥檚 equator, what will the tension in it be? (Recall that the earth is rotating about an axis through its north and south poles.) Consult Appendix F and start with a free-body diagram of Sneezy at the equator.
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