
Tutorials in Introductory Physics
1st Edition
ISBN: 9780130970695
Author: Peter S. Shaffer, Lillian C. McDermott
Publisher: Addison Wesley
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Chapter 12.2, Problem 1bT
(1)
To determine
To Draw: The free body diagram for the block at the instant it is released.
(2)
To determine
To Compare: The free body diagram of the block that sinks with the block that floats.
The forces that are different than the previous case.
(3)
To determine
To draw: The vector sum of all the forces on the block and compare it with the block that floats.
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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
Sketch the harmonic.
Chapter 12 Solutions
Tutorials in Introductory Physics
Ch. 12.1 - For each layer, draw a free-body diagram in the...Ch. 12.1 - Imagine that a small hole is opened in the...Ch. 12.1 - Prob. 2aTCh. 12.1 - Suppose you wanted to determine the pressure at...Ch. 12.1 - Prob. 2cTCh. 12.1 - Prob. 2dTCh. 12.1 - Draw a freebody diagram for the small voulme of...Ch. 12.1 - Prob. 3bTCh. 12.1 - Use your answer to part B to compare the pressures...Ch. 12.1 - Prob. 3dT
Ch. 12.1 - Consider the following student dialogue: Student...Ch. 12.1 - Prob. 4aTCh. 12.1 - The right end of the tube is now scaled with a...Ch. 12.1 - A syringe is used to remove some water from the...Ch. 12.2 - A cubical block is observed to float in a beaker...Ch. 12.2 - Prob. 1bTCh. 12.2 - Imagine that you were to release the block from...Ch. 12.2 - In general, does the buoyant force on an object...Ch. 12.2 - By how much does the volume reading increase when...Ch. 12.2 - Does the volume of water displaced by a completely...Ch. 12.2 - Consider the following statement made by a...Ch. 12.2 - A rectangular block, A, is released from rest at...Ch. 12.2 - A second block, B,of the same size and shape as A...Ch. 12.2 - A third block, C, of the same size and shape as A...
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