
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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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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X
Q Search
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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 20 Solutions
Pearson eText -- Physics for Scientists and Engineers with Modern Physics -- Instant Access (Pearson+)
Ch. 20.3 - Prob. 1AECh. 20.9 - Prob. 1DECh. 20 - Prob. 1QCh. 20 - Can you warm a kitchen in winter by leaving the...Ch. 20 - Would a definition of heat engine efficiency as e...Ch. 20 - Prob. 4QCh. 20 - Prob. 5QCh. 20 - The oceans contain a tremendous amount of thermal...Ch. 20 - Discuss the factors that keep real engines from...Ch. 20 - Prob. 8Q
Ch. 20 - Describe a process in nature that is nearly...Ch. 20 - (a) What happens if you remove the lid of a bottle...Ch. 20 - Prob. 11QCh. 20 - Prob. 12QCh. 20 - Give three examples, other than those mentioned in...Ch. 20 - Which do you think has the greater entropy, 1 kg...Ch. 20 - Prob. 16QCh. 20 - Prob. 17QCh. 20 - The first law of thermodynamics is sometimes...Ch. 20 - Powdered milk is very slowly (quasistatically)...Ch. 20 - Two identical systems are taken from state a to...Ch. 20 - It can he said that the total change in entropy...Ch. 20 - Prob. 22QCh. 20 - Prob. 23QCh. 20 - Prob. 1MCQCh. 20 - Prob. 2MCQCh. 20 - Prob. 3MCQCh. 20 - Prob. 4MCQCh. 20 - Prob. 5MCQCh. 20 - Prob. 6MCQCh. 20 - Prob. 7MCQCh. 20 - Prob. 8MCQCh. 20 - Prob. 9MCQCh. 20 - Prob. 10MCQCh. 20 - Prob. 11MCQCh. 20 - Prob. 12MCQCh. 20 - Prob. 1PCh. 20 - Prob. 2PCh. 20 - Prob. 3PCh. 20 - (II) A typical compact car experiences a total...Ch. 20 - Prob. 5PCh. 20 - (II) Figure 2017 is a PV diagram for a reversible...Ch. 20 - Prob. 7PCh. 20 - Prob. 8PCh. 20 - Prob. 9PCh. 20 - Prob. 10PCh. 20 - (II) (a) Show that the work done by a Carnot...Ch. 20 - Prob. 12PCh. 20 - Prob. 13PCh. 20 - Prob. 14PCh. 20 - (II) Assume that a 65 kg hiker needs 4.0 103 kcal...Ch. 20 - Prob. 16PCh. 20 - Prob. 18PCh. 20 - (III) A Carnot cycle, shown in Fig. 20-7, has the...Ch. 20 - (III) One mole of monatomic gas undergoes a Carnot...Ch. 20 - (III) In an engine that approximates the Otto...Ch. 20 - Prob. 22PCh. 20 - Prob. 23PCh. 20 - Prob. 24PCh. 20 - Prob. 25PCh. 20 - Prob. 26PCh. 20 - Prob. 27PCh. 20 - Prob. 28PCh. 20 - (II) An ideal heal pump is used to maintain the...Ch. 20 - Prob. 30PCh. 20 - Prob. 31PCh. 20 - Prob. 32PCh. 20 - Prob. 33PCh. 20 - Prob. 34PCh. 20 - Prob. 35PCh. 20 - (I) What is the change in entropy of 1.00 m3 of...Ch. 20 - Prob. 37PCh. 20 - (II) If 0.45kg f water at 100C is changed by a...Ch. 20 - Prob. 39PCh. 20 - Prob. 40PCh. 20 - Prob. 41PCh. 20 - Prob. 42PCh. 20 - Prob. 43PCh. 20 - Prob. 44PCh. 20 - Prob. 45PCh. 20 - Prob. 46PCh. 20 - Prob. 47PCh. 20 - (II) An ideal gas of n moles undergoes the...Ch. 20 - Prob. 49PCh. 20 - Prob. 50PCh. 20 - (II) Two samples of an ideal gas are initially at...Ch. 20 - (II) 1.00 mole of nitrogen (N2) gas and 1.00 mole...Ch. 20 - (II) (a) Why would you expect the total entropy...Ch. 20 - (II) Thermodynamic processes are sometimes...Ch. 20 - Prob. 55PCh. 20 - (III) Consider an ideal gas of n moles with molar...Ch. 20 - (III) A general theorem states that the amount of...Ch. 20 - Prob. 58PCh. 20 - (I) Use Eq. 2014 to determine the entropy of each...Ch. 20 - (II) Suppose that you repeatedly shake six coins...Ch. 20 - (II) (a) Suppose you have four coins, all with...Ch. 20 - Prob. 62PCh. 20 - Prob. 63PCh. 20 - Prob. 64PCh. 20 - Prob. 65PCh. 20 - Prob. 66PCh. 20 - Prob. 67GPCh. 20 - Prob. 68GPCh. 20 - A heat engine takes a diatomic gas around the...Ch. 20 - Prob. 70GPCh. 20 - Prob. 71GPCh. 20 - Prob. 72GPCh. 20 - The operation of a certain heat engine takes an...Ch. 20 - Prob. 74GPCh. 20 - Prob. 75GPCh. 20 - 1.00 mole of an ideal monatomic gas at STP first...Ch. 20 - Prob. 77GPCh. 20 - Prob. 78GPCh. 20 - Prob. 80GPCh. 20 - Prob. 82GPCh. 20 - The Stirling cycle shown in Fig 20-27, is useful...Ch. 20 - Prob. 84GPCh. 20 - Prob. 85GPCh. 20 - Thermodynamic processes can be represented not...Ch. 20 - An aluminum can, with negligible heat capacity, is...Ch. 20 - Prob. 88GPCh. 20 - A bowl contains a large number of red, orange, and...Ch. 20 - Prob. 90GPCh. 20 - Prob. 92GP
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