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Chapter 11: Angular Momentum

Expert-verified
Matter & Interactions
Pages: 416 - 471
Matter & Interactions

Matter & Interactions

Book edition 4th edition
Author(s) Ruth W. Chabay, Bruce A. Sherwood
Pages 1135 pages
ISBN 9781118875865

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Illustration

72 Questions for Chapter 11: Angular Momentum

  1. A uniform-density wheel of mass 6 kg and radius 0.3 m rotates on a low-friction axle. Starting from rest, a string wrapped around the edge exerts a constant force of15Nfor0.6s(a) what is the final angular speed? (b) what is the average angular speed? (c) Through how big an angle did the wheel turn? (d) How much string come off the wheel?

    Found on Page 444

  2. A device consists of eight balls, each of massattached to the ends of low-mass spokes of length L so the radius of rotation of ball is L/2. The device is mounted in the vertical plane, as shown in Figure 11.73. The axle is help up by supports that are not shown, and the wheel is free to rotate on the nearly frictionless axle. A lump of clay with massm falls and sticks to one of the balls at the location shown, when the spoke attached to that ball is 45°to the horizontal. Just before the impact the clay has a speed v, and the wheel is rotating counter clock wise with angular speedω .

    Found on Page 458

  3. Show thath and angular momentum have the same units.

    Found on Page 446

  4. Found on Page 458

  5. To complete this reflection, determine the relationship between ωand Ωfor the case of pure precession, but with the spin axis at an arbitrary angle θto the vertical (figure) θ=90°is the case of horizontal precession we treated). If you have the opportunity, see whether this relationship holds for a real gyroscope.

    Found on Page 452

  6. What features of the Bohr model of hydrogen are consistent with the later, full quantum mechanical analysis? What features of the Bohr model had to be abandoned?

    Found on Page 458

  7. Evaluate the cross product which \(\left( {5\widehat I + 3\widehat J} \right) \times \left( { - 4\widehat I + 2\widehat J} \right),\)expands to\( - 20\widehat I \times \widehat I + 10\widehat I \times \widehat J - 12\widehat J \times \widehat I + 6\widehat J \times \widehat J\).

    Found on Page 459

  8. What is the angular momentum \({\overrightarrow L _A}\)If \({\overrightarrow r _A} = (9, - 9,0)\)m and \(\overrightarrow p = (12,10,0)\)\(kg.m/s?\)

    Found on Page 459

  9. At a particular instant the location of an object relative to location \(A\) is given by the vector \({\overrightarrow r _A} = \left\langle {6,6,0} \right\rangle {\rm{m}}\). At this instant the momentum of the object is \(\overrightarrow p = \left\langle { - 11,13,0} \right\rangle {\rm{kg}} \cdot {\rm{m}}/{\rm{s}}.\) What is the angular momentum of the object about location \(A\)?

    Found on Page 459

  10. A comet orbits the sun (figure). When it is at location 1 it is a distance d1from the sun. When the comet is at location 2, it is a distanced2from the sun, and has magnitude of momentump2. (a) when the comet is at location 1, what is the direction of L→A? (b) when the comet is at location 1, what is magnitude of L→A? (c) When the comet is at location 2, what is the direction of L→A? (d) when the comet is at location 2, what is the magnitude ofL→A ? Later we’ll see that the angular momentum principle tells us that the angular momentum at location 1 must be equal to the angular momentum at location 2.

    Found on Page 459

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