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Chapter 8: 8-4MCQ (page 198)
The solid dot shown in Fig. 8–36 is a pivot point. The board can rotate about the pivot. Which force shown exerts the largest magnitude torque on the board?
FIGURE 8-36MisConceptual Question 4.
The correct option is (c).
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(I) A centrifuge rotor has a moment of inertia of\({\bf{3}}{\bf{.25}} \times {\bf{1}}{{\bf{0}}^{ - {\bf{2}}}}{\bf{ kg}} \cdot {{\bf{m}}^{\bf{2}}}\).How much energy is required to bring it from rest to 8750 rpm?
Most of our Solar System’s mass is contained in the Sun, and the planets possess almost all of the Solar System’s angular momentum. This observation plays a key role in theories attempting to explain the formation of our Solar System. Estimate the fraction of the Solar System’s total angular momentum that is possessed by planets using a simplified model which includes only the large outer planets with the most angular momentum. The central Sun (mass\(1.99 \times {10^{30}}\;{\rm{kg}}\), radius\(6.96 \times {10^8}\;{\rm{m}}\)) spins about its axis once every 25 days and the planets Jupiter, Saturn, Uranus, and Neptune move in nearly circular orbits around the Sun with orbital data given in the Table below. Ignore each planet’s spin about its own axis.
Planet | Mean Distance from Sun\(\left( { \times {{10}^6}\;{\rm{km}}} \right)\) | Orbital Period (Earth Years) | Mass \(\left( { \times {{10}^{25}}\;{\rm{kg}}} \right)\) |
Jupiter | 778 | 11.9 | 190 |
Saturn | 1427 | 29.5 | 56.8 |
Uranus | 2870 | 84.0 | 8.68 |
Neptune | 4500 | 165 | 10.2 |
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 “tug” spaceship attaches itself to the asteroid’s south pole (as defined by the axis of rotation) and fires its engine, applying a force F tangentially to the asteroid’s surface as shown in Fig. 8–65. If\(F = 285\;{\rm{N}}\)how long will it take the tug to rotate the asteroid’s axis of rotation through an angle of 5.0° by this method?
A person exerts a horizontal force of 42 N on the end of a door 96 cm wide. What is the magnitude of the torque if the force is exerted (a) perpendicular to the door and (b) at a 60.0° angle to the face of the door?
Why do tightrope walkers (Fig. 8–34) carry a long, narrow rod?
FIGURE 8-34 Question 13.
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