TOPICS IN PHYSICAL SCIENCE
12th Edition
ISBN: 9781260826524
Author: Tillery
Publisher: MCG
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Chapter 19, Problem 4PEA
To determine
The slope of the fault and the type of fault.
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Question 3 of 17
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In the figure above, three uniform thin rods, each of length L, form
an inverted U. The vertical rods each have a mass m; the horizontal
rod has a mass 3m.
NOTE: Express your answer in terms of the variables given.
(a) What is the x coordinate of the system's center of mass?
xcom
L
2
(b) What is the y coordinate of the system's center of mass?
Ycom
45
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Sketch the harmonic on graphing paper.
Exercise 1:
(a) Using the explicit formulae derived in the lectures for the (2j+1) × (2j + 1) repre-
sentation matrices Dm'm, (J/h), derive the 3 × 3 matrices corresponding to the case
j = 1.
(b) Verify that they satisfy the so(3) Lie algebra commutation relation:
[D(Î₁/ħ), D(Î₂/h)]m'm₁ = iƊm'm² (Ĵ3/h).
(c) Prove the identity
3
Dm'm,(β) = Σ (D(Ρ)D(Ρ))m'¡m; ·
i=1
Chapter 19 Solutions
TOPICS IN PHYSICAL SCIENCE
Ch. 19 - 1. The premise that the present is the key to...Ch. 19 - 2. The concept of uniformitarianism is that rocks...Ch. 19 - 3. A force that compresses, pulls apart, or...Ch. 19 - 4. Rock stress caused by two plates moving...Ch. 19 - 5. Adjustment to stress is defined as
a....Ch. 19 - 6. Rocks at great depths are under
a. lower...Ch. 19 - 7. A bend in layered bedrock that resulted from...Ch. 19 - 8. Folds that resemble an arch are called
a....Ch. 19 - 9. A fold that forms a trough is called a (an)
a....Ch. 19 - 10. Movement between rocks on one side of a...
Ch. 19 - 11. The actual place where seismic waves originate...Ch. 19 - 12. The point on Earth's surface directly above...Ch. 19 - 13. An earthquake that occurs in the upper part of...Ch. 19 - 14. The majority of earthquakes (85 percent)...Ch. 19 - 15. The size of an earthquake is measured by
a....Ch. 19 - 16. The energy of the vibrations or the magnitude...Ch. 19 - 17. Earthquakes are detected and measured by
a. a...Ch. 19 - 18. Elevated parts of Earth’s crust that rise...Ch. 19 - 19. Which of the following is not a classification...Ch. 19 - 20. Mountains that rise sharply from surrounding...Ch. 19 - 21. A large amount of magma that has crystallized...Ch. 19 - 22. The most abundant extrusive rock is
a....Ch. 19 - 23. The basic difference between the frame of...Ch. 19 - 24. The difference between elastic deformation and...Ch. 19 - 25. Whether a rock layer subjected to stress...Ch. 19 - 26. When subjected to stress, rocks buried at...Ch. 19 - 27. A sedimentary rock layer that has not been...Ch. 19 - 28. The difference between a joint and a fault is...Ch. 19 - 29. A fault where the footwall has moved upward...Ch. 19 - 30. Reverse faulting probably resulted from which...Ch. 19 - 31. Earthquakes that occur at the boundary between...Ch. 19 - 32. Each higher number of the Richter scale
a....Ch. 19 - 33. The removal of “older” crust from the surface...Ch. 19 - 34. Hutton observed that rocks, rock structures,...Ch. 19 - 35. The principle of uniformity has a basic frame...Ch. 19 - 36. What is not considered a type of strain?
a....Ch. 19 - 37. How a rock responds to stress and strain does...Ch. 19 - 38. Which rock is more likely to break under...Ch. 19 - 39. Rocks near or on the surface
a. are not cooler...Ch. 19 - 40. Rocks recover their original shape after...Ch. 19 - 41. Which is not a type of fault?
a. Normal
b....Ch. 19 - 42. Where do most earthquakes occur?
a. Along...Ch. 19 - 43. The name of the fault that is of concern to...Ch. 19 - 44. P-waves travel ____ S-waves.
a. faster than
b....Ch. 19 - Prob. 45ACCh. 19 - 46. An earthquake is
a. the result of the sudden...Ch. 19 - 47. The Black Hills in South Dakota and the...Ch. 19 - 48. The Appalachian Mountains were formed when
a....Ch. 19 - 49. Mountains that were formed as a result of...Ch. 19 - 50. The source of magma for the Mount St. Helens...Ch. 19 - 1. What is the principle of uniformity? What are...Ch. 19 - 2. Describe the responses of rock layers to...Ch. 19 - Prob. 3QFTCh. 19 - 4. What does the presence of folded sedimentary...Ch. 19 - 5. Describe the conditions that would lead to...Ch. 19 - 6. How would plate tectonics explain the...Ch. 19 - 7. What is an earthquake? What produces an...Ch. 19 - 8. Where would the theory of plate tectonics...Ch. 19 - 9. Describe how the location of an earthquake is...Ch. 19 - 10. Briefly explain how and where folded mountains...Ch. 19 - 11. The magnitude of an earthquake is measured on...Ch. 19 - 12. Identify three areas of probable volcanic...Ch. 19 - Prob. 13QFTCh. 19 - 14. Describe any possible relationships between...Ch. 19 - 15. What is the source of magma that forms...Ch. 19 - 16. Describe how the nature of the lava produced...Ch. 19 - 17. What are mountains? Why do they tend to form...Ch. 19 - 1. Evaluate the statement “the present is the key...Ch. 19 - Prob. 2FFACh. 19 - 3. What are the significant similarities and...Ch. 19 - 4. Explain the combination of variables that...Ch. 19 - Prob. 1IICh. 19 - Prob. 2IICh. 19 - Prob. 3IICh. 19 - Prob. 4IICh. 19 - Prob. 5IICh. 19 - Prob. 1PEACh. 19 - Prob. 2PEACh. 19 - Prob. 3PEACh. 19 - Prob. 4PEACh. 19 - Prob. 5PEACh. 19 - Prob. 6PEACh. 19 - Prob. 7PEACh. 19 - Prob. 8PEACh. 19 - Prob. 9PEACh. 19 - Prob. 10PEACh. 19 - Prob. 11PEACh. 19 - How wide, in kilometers, is a shield volcano...Ch. 19 - Prob. 13PEACh. 19 - Prob. 14PEACh. 19 - Prob. 15PEACh. 19 - Prob. 16PEACh. 19 - 1. The rocks in a syncline have been folded into a...Ch. 19 - Prob. 2PEBCh. 19 - Prob. 3PEBCh. 19 - 4. The hanging wall of a fault has been displaced...Ch. 19 - Prob. 5PEBCh. 19 - Prob. 6PEBCh. 19 - Prob. 7PEBCh. 19 - 8. Compare the ground motion (surface wave...Ch. 19 - Prob. 10PEBCh. 19 - Prob. 11PEBCh. 19 - Prob. 12PEBCh. 19 - Prob. 13PEBCh. 19 - Prob. 14PEBCh. 19 - Prob. 15PEBCh. 19 - Prob. 16PEB
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