Tutorials in Introductory Physics
1st Edition
ISBN: 9780130970695
Author: Peter S. Shaffer, Lillian C. McDermott
Publisher: Addison Wesley
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Chapter 10.1, Problem 2cT
To determine
To Write: The observation on the screen for the given situations.
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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
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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 10 Solutions
Tutorials in Introductory Physics
Ch. 10.1 - Prob. 1aTCh. 10.1 - Predict how each of the following changes would...Ch. 10.1 - A mask with a circular hole is placed between a...Ch. 10.1 - What do your observations suggest about the path...Ch. 10.1 - Imagine that you held a string of closely spaced...Ch. 10.1 - The mask used in parts C-E is replaced by one that...Ch. 10.1 - Prob. 1gTCh. 10.1 - Predict what you would see on the screen when an...Ch. 10.1 - Predict the size of the lit region on the screen...Ch. 10.1 - Suppose that the bulb were replaced by a long...
Ch. 10.1 - Prob. 2cTCh. 10.1 - Predict what you would see on the screen at the...Ch. 10.1 - Suppose that the light from the top bulb in the...Ch. 10.1 - Predict what you would see on the screen in the...Ch. 10.2 - Close one eye and lean down so that your open eye...Ch. 10.2 - Suppose that you placed your finger behind the...Ch. 10.2 - Prob. 1cTCh. 10.2 - Prob. 1dTCh. 10.2 - Place your head so that you can see the image of...Ch. 10.2 - Move the nail off w the right side of the mirror...Ch. 10.2 - Prob. 3aTCh. 10.2 - Turn the large sheet of paper over (or obtain a...Ch. 10.2 - Remove the mirror and the object nail. For each...Ch. 10.2 - On the diagram at right, draw one ray from the pin...Ch. 10.2 - Prob. 4bTCh. 10.2 - Determine the image location using the method of...Ch. 10.3 - A pin is placed In front of a cylindrical mirror...Ch. 10.3 - Could you use any two rays (even those that do not...Ch. 10.3 - Observers at M and N arc looking at an image of...Ch. 10.3 - Stick a pin into a piece of cardboard and place...Ch. 10.3 - Gradually decrease the angle between the mirrors...Ch. 10.4 - Prob. 1bTCh. 10.4 - Three students are discussing their results from...Ch. 10.4 - For each case shown below, determine and label the...Ch. 10.4 - In each of the previous cases, predict what would...Ch. 10.4 - Prob. 2cTCh. 10.4 - Explain how you can use a screen to determine the...Ch. 10.5 - Look at very distant object through a convex lens....Ch. 10.5 - Consider a point on the distant object that is...Ch. 10.5 - Suppose that you placed a very small bulb at the...Ch. 10.5 - Consider the ray chai is parallel to the principal...Ch. 10.5 - Consider the ray that goes through the focal point...Ch. 10.5 - How can you use these two rays to determine the...Ch. 10.5 - Consider the ray from the easer that strikes the...Ch. 10.5 - Draw the continuation of the two remaining rays...Ch. 10.5 - Prob. 2fTCh. 10.5 - The diagram below shows a small object placed near...Ch. 10.5 - A lens, a bulb, and a screen are arranged as shown...Ch. 10.5 - Obtain the necessary equipment and check your...Ch. 10.5 - Prob. 3cTCh. 10.6 - The diagram at right illustrates what an observer...Ch. 10.6 - Obtain two soda cans and a cardboard tube that has...Ch. 10.6 - Could an observer at each of the labeled points...Ch. 10.6 - Use the above diagram to answer the following...Ch. 10.6 - Obtain convex lens. Use the lens as a magnifying...Ch. 10.6 - Draw a ray diagram that shows how to determine the...Ch. 10.6 - The lateral magnification, m1 , is defined as...Ch. 10.6 - The angular magnification, m , is defined as m= ,...
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