THE ATMOSOPHERE-ETEXT
14th Edition
ISBN: 9780135213131
Author: Lutgens
Publisher: PEARSON
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Chapter 3.1, Problem 1CC
To determine
The calculation of daily mean, daily range, monthly mean, annual mean, and annual average.
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Question 3 of 17
L
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
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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 3 Solutions
THE ATMOSOPHERE-ETEXT
Ch. 3.1 - Prob. 1CCCh. 3.1 - Prob. 2CCCh. 3.2 - Prob. 1CCCh. 3.2 - Prob. 2CCCh. 3.3 - Prob. 1CCCh. 3.3 - Prob. 2CCCh. 3.3 - Prob. 3CCCh. 3.3 - Prob. 4CCCh. 3.4 - Prob. 1CCCh. 3.4 - Prob. 2CC
Ch. 3.5 - Prob. 1CCCh. 3.5 - Prob. 2CCCh. 3.5 - Prob. 3CCCh. 3.6 - Prob. 1CCCh. 3.6 - Prob. 2CCCh. 3.6 - Prob. 3CCCh. 3 - Prob. 1RQCh. 3 - Prob. 2RQCh. 3 - Prob. 3RQCh. 3 - Prob. 4RQCh. 3 - Prob. 5RQCh. 3 - Prob. 6RQCh. 3 - Prob. 7RQCh. 3 - Prob. 8RQCh. 3 - Prob. 9RQCh. 3 - Prob. 10RQCh. 3 - Prob. 11RQCh. 3 - Prob. 12RQCh. 3 - Prob. 13RQCh. 3 - Prob. 14RQCh. 3 - Prob. 15RQCh. 3 - Prob. 16RQCh. 3 - Prob. 17RQCh. 3 - Prob. 18RQCh. 3 - Prob. 1GSTCh. 3 - Prob. 2GSTCh. 3 - Prob. 4GSTCh. 3 - Prob. 5GSTCh. 3 - Prob. 6GSTCh. 3 - Prob. 7GSTCh. 3 - Prob. 8GSTCh. 3 - Prob. 1BNCh. 3 - Prob. 2BNCh. 3 - Prob. 4BNCh. 3 - Prob. 5BNCh. 3 - Prob. 6BN
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