THE ATMOSOPHERE-ETEXT
14th Edition
ISBN: 9780135213131
Author: Lutgens
Publisher: PEARSON
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Chapter 15.4, Problem 3CC
To determine
The characteristics of Mediterranean climate.
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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
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(b) What is the y coordinate of the system's center of mass?
Ycom
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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 15 Solutions
THE ATMOSOPHERE-ETEXT
Ch. 15.1 - Prob. 1CCCh. 15.1 - Prob. 2CCCh. 15.1 - Prob. 3CCCh. 15.2 - Prob. 1CCCh. 15.2 - Prob. 2CCCh. 15.2 - Prob. 3CCCh. 15.3 - Prob. 1CCCh. 15.3 - Prob. 2CCCh. 15.3 - Prob. 3CCCh. 15.4 - Prob. 1CC
Ch. 15.4 - Prob. 2CCCh. 15.4 - Prob. 3CCCh. 15.5 - Prob. 1CCCh. 15.5 - Prob. 2CCCh. 15.5 - Prob. 3CCCh. 15.6 - Prob. 1CCCh. 15.6 - Prob. 2CCCh. 15.6 - Prob. 3CCCh. 15.7 - Prob. 1CCCh. 15.7 - Prob. 2CCCh. 15 - Prob. 1RQCh. 15 - Prob. 2RQCh. 15 - Prob. 3RQCh. 15 - Prob. 4RQCh. 15 - Prob. 5RQCh. 15 - Prob. 6RQCh. 15 - Prob. 7RQCh. 15 - Prob. 8RQCh. 15 - Prob. 9RQCh. 15 - Prob. 10RQCh. 15 - Prob. 11RQCh. 15 - Prob. 12RQCh. 15 - Prob. 13RQCh. 15 - Prob. 14RQCh. 15 - Prob. 15RQCh. 15 - Prob. 1GSTCh. 15 - Prob. 2GSTCh. 15 - Prob. 3GSTCh. 15 - Prob. 4GSTCh. 15 - Prob. 5GSTCh. 15 - Prob. 6GSTCh. 15 - Prob. 1BNCh. 15 - Prob. 2BN
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