Pearson eText -- Physics for Scientists and Engineers with Modern Physics -- Instant Access (Pearson+)
5th Edition
ISBN: 9780137488179
Author: Douglas Giancoli
Publisher: PEARSON+
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Question 3 of 17
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X
L
L
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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
L
X
Q Search
MD
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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 9 Solutions
Pearson eText -- Physics for Scientists and Engineers with Modern Physics -- Instant Access (Pearson+)
Ch. 9.1 - Prob. 1AECh. 9.1 - Light carries momentum, so if a light beam strikes...Ch. 9.2 - In Example 93, what result would you get if (a)...Ch. 9.2 - Prob. 1DECh. 9.2 - Return to the Chapter-Opening Questions, page 214,...Ch. 9.8 - Calculate the CM of the three people in Example...Ch. 9.8 - Prob. 1GECh. 9.9 - A woman stands up in a rowboat and walks from one...Ch. 9 - We claim that momentum is conserved. Yet most...Ch. 9 - A light object and a heavy object have the same...
Ch. 9 - When a person jumps from a tree to the ground,...Ch. 9 - Prob. 4QCh. 9 - Explain, on the basis of conservation of momentum,...Ch. 9 - Prob. 6QCh. 9 - If a falling ball were to make a perfectly elastic...Ch. 9 - Prob. 8QCh. 9 - It is said that in ancient times a rich man with a...Ch. 9 - The speed of a tennis ball on the return of a...Ch. 9 - Is it possible for an object to receive a larger...Ch. 9 - How could a force give zero impulse over a nonzero...Ch. 9 - In a collision between two cars, which would you...Ch. 9 - Prob. 14QCh. 9 - Prob. 15QCh. 9 - At a hydroelectric power plant, water is directed...Ch. 9 - A squash hall hits a wall at a 45 angle as shown...Ch. 9 - Prob. 18QCh. 9 - Why can a batter hit a pitched baseball farther...Ch. 9 - If a 20-passenger plane is not full, sometimes...Ch. 9 - Prob. 21QCh. 9 - Why is the CM of a 1-m length of pipe at its...Ch. 9 - Describe an analytic way of determining the CM of...Ch. 9 - Prob. 24QCh. 9 - Bob and Jim decide to play tug-of-war on a...Ch. 9 - Prob. 26QCh. 9 - Prob. 27QCh. 9 - Prob. 28QCh. 9 - Prob. 29QCh. 9 - Prob. 30QCh. 9 - At a carnival game you try to knock over a heavy...Ch. 9 - Prob. 1MCQCh. 9 - Prob. 3MCQCh. 9 - Prob. 4MCQCh. 9 - Prob. 5MCQCh. 9 - Prob. 6MCQCh. 9 - Prob. 7MCQCh. 9 - Prob. 8MCQCh. 9 - Prob. 9MCQCh. 9 - Prob. 10MCQCh. 9 - Prob. 11MCQCh. 9 - Prob. 12MCQCh. 9 - Prob. 13MCQCh. 9 - Prob. 1PCh. 9 - Prob. 2PCh. 9 - Prob. 3PCh. 9 - Prob. 4PCh. 9 - Prob. 5PCh. 9 - Prob. 6PCh. 9 - Prob. 7PCh. 9 - Prob. 8PCh. 9 - Prob. 9PCh. 9 - Prob. 10PCh. 9 - Prob. 11PCh. 9 - Prob. 13PCh. 9 - Prob. 14PCh. 9 - Prob. 15PCh. 9 - Prob. 16PCh. 9 - Prob. 17PCh. 9 - Prob. 18PCh. 9 - Prob. 19PCh. 9 - Prob. 20PCh. 9 - Prob. 21PCh. 9 - Prob. 22PCh. 9 - (II) Suppose the force acting on a tennis hall...Ch. 9 - (II) The force on a bullet is given by the formula...Ch. 9 - (II) (a) A molecule of mass m and speed v strikes...Ch. 9 - Prob. 26PCh. 9 - Prob. 27PCh. 9 - Prob. 28PCh. 9 - Prob. 29PCh. 9 - Prob. 30PCh. 9 - Prob. 31PCh. 9 - Prob. 32PCh. 9 - Prob. 33PCh. 9 - Prob. 34PCh. 9 - Prob. 35PCh. 9 - Prob. 36PCh. 9 - (I) In a ballistic pendulum experiment, projectile...Ch. 9 - Prob. 38PCh. 9 - Prob. 39PCh. 9 - Prob. 40PCh. 9 - Prob. 41PCh. 9 - Prob. 42PCh. 9 - Prob. 43PCh. 9 - Prob. 44PCh. 9 - Prob. 45PCh. 9 - Prob. 46PCh. 9 - Prob. 47PCh. 9 - Prob. 48PCh. 9 - Prob. 49PCh. 9 - (II) A neutron collides elastically with a helium...Ch. 9 - Prob. 51PCh. 9 - (III) A neon atom (m = 20.0 u) makes a perfectly...Ch. 9 - Prob. 53PCh. 9 - (I) The distance between a carbon atom (m = 12 u)...Ch. 9 - Prob. 55PCh. 9 - Prob. 56PCh. 9 - (II) Three cubes, of side l0,2l0, and 3l0 are...Ch. 9 - Prob. 58PCh. 9 - Prob. 59PCh. 9 - Prob. 60PCh. 9 - Prob. 61PCh. 9 - Prob. 62PCh. 9 - Prob. 63PCh. 9 - (III) Determine the CM of a uniform pyramid that...Ch. 9 - (II) The masses of the Earth and Moon are 5.98 ...Ch. 9 - Prob. 66PCh. 9 - Prob. 67PCh. 9 - Prob. 68PCh. 9 - Prob. 69PCh. 9 - Prob. 70PCh. 9 - Prob. 71PCh. 9 - Prob. 72PCh. 9 - Prob. 73PCh. 9 - Prob. 74PCh. 9 - Prob. 76PCh. 9 - Prob. 77GPCh. 9 - Prob. 78GPCh. 9 - Prob. 79GPCh. 9 - Prob. 80GPCh. 9 - Prob. 81GPCh. 9 - Prob. 82GPCh. 9 - Prob. 83GPCh. 9 - Prob. 84GPCh. 9 - Prob. 85GPCh. 9 - Prob. 86GPCh. 9 - Prob. 88GPCh. 9 - Prob. 92GPCh. 9 - Prob. 94GPCh. 9 - Prob. 95GPCh. 9 - Prob. 96GPCh. 9 - Prob. 97GPCh. 9 - A massless spring with spring constant k is placed...Ch. 9 - Prob. 99GPCh. 9 - The gravitational slingshot effect. Figure 955...Ch. 9 - Prob. 101GPCh. 9 - Prob. 102GPCh. 9 - Prob. 103GPCh. 9 - Prob. 104GP
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