Physics
5th Edition
ISBN: 9781260486919
Author: GIAMBATTISTA
Publisher: MCG
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Chapter 4, Problem 5P
To determine
Whether it is possible for the sum of the two forces to be due east if their magnitudes are not same and which force must have the larger magnitude.
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Question 3 of 17
L
X
L
L
T
0.5/
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
L
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Q Search
MD
bp
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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 4 Solutions
Physics
Ch. 4.1 - CHECKPOINT 4.1A
Identify the forces acting on the...Ch. 4.1 - Prob. 4.1PPCh. 4.1 - Prob. 4.1BCPCh. 4.1 - Prob. 4.2PPCh. 4.2 - Prob. 4.3PPCh. 4.2 - Prob. 4.2CPCh. 4.2 - Prob. 4.4PPCh. 4.4 - Prob. 4.5PPCh. 4.4 - Prob. 4.4CPCh. 4.5 - Practice Problem 4.6 A Creative Defense
After an...
Ch. 4.5 - CHECKPOINT 4.5
If you climb Mt. McKinley, what...Ch. 4.5 - Practice Problem 4.7 Figs on the Moon
What would...Ch. 4.6 - CHECKPOINT 4.6
Your laptop is resting on the...Ch. 4.6 - Practice Problem 4.8 Chest at Rest
Suppose the...Ch. 4.6 - Practice Problem 4.9 Passing a Truck
A car is...Ch. 4.6 - Practice Problem 4.10 Smoothing the Infield...Ch. 4.7 - Practice Problem 4.11 Tightrope Practice Jorge...Ch. 4.7 - Practice Problem 4.12 System of Ropes, Pulleys,...Ch. 4.8 - Practice Problem 4.13 The Continuing Story …
How...Ch. 4.8 - Practice Problem 4.14 Coupling Force Between First...Ch. 4.8 - Practice Problem 4.15 Another Check
Using the...Ch. 4.8 - Practice Problem 4.16 Hauling the Crate with a...Ch. 4.8 - Practice Problem 4.17 Engine Thrust
What is the...Ch. 4.8 - Prob. 4.18PPCh. 4.8 - Prob. 4.8CPCh. 4.10 - Practice Problem 4.19 Elevator Descending
What is...Ch. 4.10 - Prob. 4.10CPCh. 4 - Prob. 1CQCh. 4 - Prob. 2CQCh. 4 - Prob. 4CQCh. 4 - Prob. 5CQCh. 4 - Prob. 6CQCh. 4 - Prob. 7CQCh. 4 - Prob. 8CQCh. 4 - Prob. 9CQCh. 4 - Prob. 10CQCh. 4 - Prob. 11CQCh. 4 - Prob. 12CQCh. 4 - Prob. 13CQCh. 4 - Prob. 14CQCh. 4 - 15. A heavy ball hangs from a string attached to a...Ch. 4 - 16. An SUV collides with a Mini Cooper...Ch. 4 - Prob. 17CQCh. 4 - Prob. 18CQCh. 4 - Prob. 19CQCh. 4 - Prob. 20CQCh. 4 - Prob. 21CQCh. 4 - Prob. 22CQCh. 4 - Prob. 23CQCh. 4 - 24. Pulleys and inclined planes are examples of...Ch. 4 - Prob. 25CQCh. 4 - Prob. 26CQCh. 4 - Prob. 27CQCh. 4 - Prob. 28CQCh. 4 - Prob. 29CQCh. 4 - Prob. 30CQCh. 4 - Prob. 31CQCh. 4 - Prob. 1MCQCh. 4 - Prob. 2MCQCh. 4 - Prob. 3MCQCh. 4 - Prob. 4MCQCh. 4 - Prob. 5MCQCh. 4 - Prob. 6MCQCh. 4 - Prob. 7MCQCh. 4 - Prob. 8MCQCh. 4 - Prob. 9MCQCh. 4 - Prob. 10MCQCh. 4 - Prob. 11MCQCh. 4 - Prob. 12MCQCh. 4 - Prob. 13MCQCh. 4 - Prob. 14MCQCh. 4 - Prob. 15MCQCh. 4 - Prob. 16MCQCh. 4 - Prob. 17MCQCh. 4 - Prob. 18MCQCh. 4 - Prob. 19MCQCh. 4 - Prob. 20MCQCh. 4 - Prob. 21MCQCh. 4 - Prob. 22MCQCh. 4 - Prob. 23MCQCh. 4 - Prob. 24MCQCh. 4 - Prob. 25MCQCh. 4 - Prob. 26MCQCh. 4 - Prob. 1PCh. 4 - Prob. 2PCh. 4 - Prob. 3PCh. 4 - Prob. 4PCh. 4 - Prob. 5PCh. 4 - Prob. 6PCh. 4 - Prob. 7PCh. 4 - Prob. 8PCh. 4 - Prob. 9PCh. 4 - Prob. 10PCh. 4 - Prob. 11PCh. 4 - Prob. 12PCh. 4 - Prob. 13PCh. 4 - Prob. 14PCh. 4 - Prob. 15PCh. 4 - 16. A truck driving on a level highway is acted on...Ch. 4 - 17. A tennis ball (mass 57.0 g) moves toward the...Ch. 4 - 18. A red-tailed hawk that weighs 8 N is gliding...Ch. 4 - 19. An 80 N crate of apples sits at rest on the...Ch. 4 - 20. Forces of magnitudes 2000 N and 3000 N act on...Ch. 4 - 21. A person stands on the ball of one foot. The...Ch. 4 - Prob. 21PCh. 4 - 22. A sailboat, tied to a mooring with a line,...Ch. 4 - 23. A hummingbird is hovering motionless beside a...Ch. 4 - 24. You are pulling a suitcase through the airport...Ch. 4 - Prob. 30PCh. 4 - 26. A man is lazily floating on an air mattress in...Ch. 4 - 27. What is the acceleration of an automobile of...Ch. 4 - 29. A large wooden crate is pushed along a...Ch. 4 - 28. A bag of potatoes with weight 39.2 N is...Ch. 4 - 30. A hanging plant is suspended by a cord from a...Ch. 4 - 31. A bike is hanging from a hook in a garage....Ch. 4 - 32. A woman who weighs 600 N sits on a chair with...Ch. 4 - 33. A fisherman is holding a fishing rod with a...Ch. 4 - Prob. 35PCh. 4 - Problems 35–37. A skydiver, who weighs 650 N, is...Ch. 4 - 36. (a) Identify the forces acting on the...Ch. 4 - 37. Consider the skydiver and parachute to be a...Ch. 4 - 38. Margie, who weighs 543 N, is standing on a...Ch. 4 - 39. (a) Calculate your weight in newtons. (b) What...Ch. 4 - 40. A young South African girl has a mass of 40.0...Ch. 4 - 41. A man weighs 0.80 kN on Earth. What is his...Ch. 4 - 42. The peak force on a runner’s foot during a...Ch. 4 - 43. In a binary star system, two stars orbit their...Ch. 4 - 44. An astronaut stands at a position on the Moon...Ch. 4 - 45. Find the ratio of the Earth’s gravitational...Ch. 4 - 46. How far above the surface of the Earth does an...Ch. 4 - 47. Find and compare the weight of a 65 kg man on...Ch. 4 - 48. Find the altitudes above the Earth’s surface...Ch. 4 - 49. During a balloon ascension, wearing an oxygen...Ch. 4 - 50. At what altitude above the Earth’s surface...Ch. 4 - 51. (a) What is the magnitude of the gravitational...Ch. 4 - 52. What is the approximate magnitude of the...Ch. 4 - 53. In free fall, we assume the acceleration to be...Ch. 4 - 54. A solar sailplane is going from Earth to Mars....Ch. 4 - Problems 55–57. Assume the elevator is supported...Ch. 4 - 56. While an elevator of mass 2530 kg moves...Ch. 4 - 57. While an elevator of mass 832 kg moves...Ch. 4 - 58. The vertical component of the acceleration of...Ch. 4 - Prob. 58PCh. 4 - 59. A man lifts a 2.0 kg stone vertically with his...Ch. 4 - 60. A man lifts a 2.0 kg stone vertically with his...Ch. 4 - Prob. 63PCh. 4 - 62. A binary star consists of two stars of masses...Ch. 4 - Prob. 65PCh. 4 - 65. A crate of artichokes is on a ramp that is...Ch. 4 - Prob. 66PCh. 4 - Prob. 68PCh. 4 - 67. An 85 kg skier is sliding down a ski slope at...Ch. 4 - 68. A book that weighs 10 N is at rest in six...Ch. 4 - 69. Strategy While the crate is remaining at rest,...Ch. 4 - Problems 69–72. A crate of potatoes of mass 18.0...Ch. 4 - Problems 69–72. A crate of potatoes of mass 18.0...Ch. 4 - Problems 69–72. A crate of potatoes of mass 18.0...Ch. 4 - 73. (a) In Example 4.10, if the movers stop...Ch. 4 - 74. A 3.0 kg block is at rest on a horizontal...Ch. 4 - 75. A horse is trotting along pulling a sleigh...Ch. 4 - 76. Before hanging new William Morris wallpaper in...Ch. 4 - 78. A box sits on a horizontal wooden ramp. The...Ch. 4 - 79. In a playground, two slides have different...Ch. 4 - 81. A towline is attached between a car and a...Ch. 4 - 82. In Example 4.14, find the tension in the...Ch. 4 - 83. A 200.0 N sign is suspended from a horizontal...Ch. 4 - 84. Strategy Use Newton’s first law of motion. The...Ch. 4 - 85. A pulley is attached to the ceiling. Spring...Ch. 4 - 86. Spring scale A is attached to the floor and a...Ch. 4 - 87. Two springs are connected in series so that...Ch. 4 - 88. A pulley is hung from the ceiling by a rope. A...Ch. 4 - 89. A 2.0 kg ball tied to a string fixed to the...Ch. 4 - Prob. 90PCh. 4 - 91. A 45 N lithograph is supported by two wires....Ch. 4 - 92. A crow perches on a clothesline midway between...Ch. 4 - 93. The drawing shows a wire attached to two back...Ch. 4 - Prob. 94PCh. 4 - 95. Two blocks, masses m1 and m2, are connected by...Ch. 4 - 96. The coefficient of static friction between a...Ch. 4 - 97. A 2.0 kg toy locomotive is pulling a 1.0 kg...Ch. 4 - 98. An engine pulls a train of 20 freight cars,...Ch. 4 - Prob. 99PCh. 4 - A horizontal rope is attached from a truck to a...Ch. 4 - 101. An accelerometer—a device to measure...Ch. 4 - 102. A box full of books rests on a wooden floor....Ch. 4 - 103. A helicopter is lifting two crates...Ch. 4 - 104. A person stands on a bathroom scale in an...Ch. 4 - 105. Oliver has a mass of 76.2 kg. He is riding in...Ch. 4 - Prob. 106PCh. 4 - Prob. 107PCh. 4 - Prob. 108PCh. 4 - Prob. 109PCh. 4 - 110. Yolanda, whose mass is 64.2 kg, is riding in...Ch. 4 - Prob. 111PCh. 4 - Prob. 112PCh. 4 - Prob. 32CQCh. 4 - Prob. 33CQCh. 4 - Prob. 34CQCh. 4 - Prob. 35CQCh. 4 - Prob. 36CQCh. 4 - Prob. 114PCh. 4 - Prob. 116PCh. 4 - Prob. 117PCh. 4 - Prob. 113PCh. 4 - Prob. 3CQCh. 4 - Prob. 115PCh. 4 - Prob. 118PCh. 4 - Prob. 119PCh. 4 - Prob. 120PCh. 4 - Prob. 121PCh. 4 - Prob. 122PCh. 4 - Prob. 123PCh. 4 - Prob. 124PCh. 4 - Prob. 125PCh. 4 - Prob. 126PCh. 4 - Prob. 127PCh. 4 - 134. The tallest spot on Earth is Mt. Everest,...Ch. 4 - Prob. 129PCh. 4 - Prob. 130PCh. 4 - Prob. 131PCh. 4 - Prob. 132PCh. 4 - Prob. 133PCh. 4 - Prob. 134PCh. 4 - Prob. 135PCh. 4 - Prob. 136PCh. 4 - Prob. 137PCh. 4 - Prob. 138PCh. 4 - Prob. 139PCh. 4 - Prob. 140PCh. 4 - Prob. 141PCh. 4 - Prob. 142PCh. 4 - Prob. 143PCh. 4 - Prob. 144PCh. 4 - Prob. 145PCh. 4 - Prob. 146PCh. 4 - Prob. 147PCh. 4 - Prob. 148PCh. 4 - 155. You want to lift a heavy box with a mass of...Ch. 4 - 156. A crate of oranges weighing 180 N rests on a...Ch. 4 - Prob. 151PCh. 4 - Prob. 152PCh. 4 - 159. A helicopter of mass M is lowering a truck of...Ch. 4 - Prob. 154PCh. 4 - Prob. 155PCh. 4 - Prob. 156PCh. 4 - Prob. 157PCh. 4 - 164. A person is doing leg lifts with 3.00 kg...Ch. 4 - Prob. 159PCh. 4 - Prob. 160PCh. 4 - Prob. 161PCh. 4 - Prob. 162PCh. 4 - Prob. 164PCh. 4 - Prob. 163PCh. 4 - Prob. 170PCh. 4 - Prob. 165PCh. 4 - Prob. 166PCh. 4 - Prob. 171PCh. 4 - Prob. 167PCh. 4 - Prob. 172PCh. 4 - Prob. 173PCh. 4 - You are designing a high-speed elevator for a new...Ch. 4 - Prob. 175PCh. 4 - Prob. 176PCh. 4 - Prob. 168PCh. 4 - Prob. 169P
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