Lecture- Tutorials for Introductory Astronomy
3rd Edition
ISBN: 9780321820464
Author: Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher: Addison-Wesley
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Chapter 5, Problem 9HUP
To determine
The correct rate of expansion fastest to slowest as shown in the figures.
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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
X
Q Search
MD
bp
N
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 5 Solutions
Lecture- Tutorials for Introductory Astronomy
Ch. 5 - Prob. 1HRPCh. 5 - Prob. 2HRPCh. 5 - Prob. 3HRPCh. 5 - Prob. 4HRPCh. 5 - Prob. 5HRPCh. 5 - Prob. 6HRPCh. 5 - Stars of the same spectral type have the same...Ch. 5 - Prob. 8HRPCh. 5 - Prob. 9HRPCh. 5 - Prob. 1STP
Ch. 5 - Prob. 2STPCh. 5 - Prob. 3STPCh. 5 - Prob. 4STPCh. 5 - Prob. 5STPCh. 5 - Prob. 6STPCh. 5 - Prob. 7STPCh. 5 - Prob. 1BIPCh. 5 - Prob. 2BIPCh. 5 - Prob. 3BIPCh. 5 - Prob. 4BIPCh. 5 - Prob. 5BIPCh. 5 - Prob. 6BIPCh. 5 - Prob. 7BIPCh. 5 - At which of the times you drew would you measure...Ch. 5 - Prob. 9BIPCh. 5 - Prob. 10BIPCh. 5 - Prob. 11BIPCh. 5 - As an extrasolar planet orbits around a star, the...Ch. 5 - Which object takes a greater amount of time to...Ch. 5 - At the instant shown in Figure 1, which direction...Ch. 5 - At the instant shown in Figure 1, which direction...Ch. 5 - In general, how does the direction the extrasolar...Ch. 5 - Figure 2 shows the extrasolar planet and star from...Ch. 5 - Prob. 7MOPCh. 5 - Prob. 8MOPCh. 5 - Prob. 9MOPCh. 5 - Prob. 10MOPCh. 5 - Prob. 11MOPCh. 5 - Prob. 12MOPCh. 5 - In which extrasolar planet system(s) (AD) is the...Ch. 5 - In which extrasolar planet system(s) (AD) would we...Ch. 5 - Which system (AD) has the extrasolar planet that...Ch. 5 - Two students are discussing their answers to...Ch. 5 - Match each graph (EH) with the extrasolar planet...Ch. 5 - Prob. 18MOPCh. 5 - Given the location marked with the dot on the...Ch. 5 - Prob. 1STEPCh. 5 - Prob. 2STEPCh. 5 - The Sun’s position in the Milky Way is shown in...Ch. 5 - Prob. 2MIPCh. 5 - We normally consider Deneb to be a bright but...Ch. 5 - Are the stars from Question 2 inside or outside...Ch. 5 - Prob. 5MIPCh. 5 - Are these Messier objects part of the Milky Way...Ch. 5 - Prob. 7MIPCh. 5 - Prob. 8MIPCh. 5 - Prob. 9MIPCh. 5 - Are the objects listed in Question 9 inside or...Ch. 5 - SagDEG is approximately 11,000 ly across. Is this...Ch. 5 - Within the Local Group, the two largest galaxies...Ch. 5 - Prob. 1GAPCh. 5 - Prob. 2GAPCh. 5 - Prob. 3GAPCh. 5 - Prob. 4GAPCh. 5 - Do the galaxies that you identified in Question 4...Ch. 5 - Prob. 6GAPCh. 5 - Prob. 7GAPCh. 5 - Prob. 8GAPCh. 5 - Prob. 9GAPCh. 5 - Prob. 10GAPCh. 5 - Prob. 11GAPCh. 5 - Prob. 12GAPCh. 5 - Prob. 13GAPCh. 5 - Where is the vast majority of mass in the solar...Ch. 5 - Two students are discussing their answers to...Ch. 5 - How do the orbital speeds of planets farther from...Ch. 5 - How does the gravitational force on a planet far...Ch. 5 - Complete the blanks in the sentences of the...Ch. 5 - Imagine you were able to add a very, very large...Ch. 5 - Prob. 7DAPCh. 5 - Prob. 8DAPCh. 5 - Prob. 9DAPCh. 5 - Astronomers were surprised when they saw the real...Ch. 5 - Prob. 11DAPCh. 5 - Prob. 12DAPCh. 5 - Based on your answers to Question 12, would you...Ch. 5 - Based on the MWG’s real rotation curve and your...Ch. 5 - Prob. 15DAPCh. 5 - Prob. 16DAPCh. 5 - Prob. 17DAPCh. 5 - Prob. 1LOPCh. 5 - Prob. 2LOPCh. 5 - Prob. 3LOPCh. 5 - Prob. 4LOPCh. 5 - Prob. 5LOPCh. 5 - Prob. 6LOPCh. 5 - Prob. 7LOPCh. 5 - Prob. 8LOPCh. 5 - Prob. 9LOPCh. 5 - Prob. 1MAPCh. 5 - Prob. 2MAPCh. 5 - Prob. 3MAPCh. 5 - Prob. 4MAPCh. 5 - Prob. 5MAPCh. 5 -
One way to try to understand and envision the...Ch. 5 -
One way to try to understand and envision the...Ch. 5 - Prob. 8MAPCh. 5 -
One way to try to understand and envision the...Ch. 5 -
One way to try to understand and envision the...Ch. 5 -
One way to try to understand and envision the...Ch. 5 -
One way to try to understand and envision the...Ch. 5 -
The balloon analogy is a helpful way to think...Ch. 5 - Prob. 1HUPCh. 5 - Consider the small section of the universe...Ch. 5 - Consider the small section of the universe...Ch. 5 - Prob. 4HUPCh. 5 - Consider the small section of the universe...Ch. 5 - Prob. 6HUPCh. 5 - The relationship you described in Questions 4 and...Ch. 5 - Prob. 8HUPCh. 5 - Prob. 9HUPCh. 5 - Prob. 10HUPCh. 5 - Prob. 11HUPCh. 5 - Complete the sentence below using the words...Ch. 5 - Prob. 13HUPCh. 5 - Prob. 14HUPCh. 5 - Prob. 16HUPCh. 5 - Prob. 17HUPCh. 5 - Prob. 18HUPCh. 5 - Prob. 19HUPCh. 5 - Prob. 20HUPCh. 5 - The two drawings below represent the same group of...Ch. 5 - Prob. 2EXPCh. 5 - Prob. 3EXPCh. 5 - The two drawings below represent the same group of...Ch. 5 - Prob. 5EXPCh. 5 - The two drawings below represent the same group of...Ch. 5 - The two drawings below represent the same group of...Ch. 5 - The two drawings below represent the same group of...Ch. 5 - The two drawings below represent the same group of...Ch. 5 - The two drawings below represent the same group of...Ch. 5 - The two drawings below represent the same group of...Ch. 5 - The two drawings below represent the same group of...Ch. 5 - Prob. 1ELDPCh. 5 - When the universe was 4 billion years old, Galaxy...Ch. 5 - Prob. 3ELDPCh. 5 - Prob. 4ELDPCh. 5 - Prob. 5ELDPCh. 5 - Prob. 6ELDPCh. 5 - Prob. 7ELDPCh. 5 - Prob. 8ELDPCh. 5 - Prob. 9ELDPCh. 5 - When the universe was 4 billion years old, Galaxy...Ch. 5 - Consider the discussion between two students...Ch. 5 - Diagrams A and B below each represent a different...Ch. 5 - Diagrams A and B below each represent a different...Ch. 5 - Diagrams A and B below each represent a different...Ch. 5 - Prob. 4THPCh. 5 - Diagrams A and B below each represent a different...Ch. 5 - Consider the three diagrams (C, D, and E) shown...Ch. 5 - Consider the three diagrams (C, D, and E) shown...Ch. 5 - Imagine you could watch the history of the...Ch. 5 - Prob. 9THPCh. 5 - Prob. 10THPCh. 5 - Look at Diagram A again. Next to Diagram A, make a...
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