Inquiry into Physics
8th Edition
ISBN: 9781337515863
Author: Ostdiek
Publisher: Cengage
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Chapter 4, Problem 13C
To determine
To prove:
Archimedes’’ principle with help of figure 4.36.
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Question 3 of 17
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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
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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 4 Solutions
Inquiry into Physics
Ch. 4 - Prob. 1LACh. 4 - Fill in the blanks of this little story with the...Ch. 4 - Prob. 1LTACh. 4 - Prob. 2LTACh. 4 - Prob. 1PIPCh. 4 - Prob. 2PIPCh. 4 - 1. In Section 4.1 in the description of matter,...Ch. 4 - Review Section 4.3 carefully. Based on your...Ch. 4 - (Indicates a review question, which means it...Ch. 4 - (Indicates a review question, which means it...
Ch. 4 - (Indicates a review question, which means it...Ch. 4 - Prob. 4QCh. 4 - Prob. 5QCh. 4 - (Indicates a review question, which means it...Ch. 4 - (Indicates a review question, which means it...Ch. 4 - (Indicates a review question, which means it...Ch. 4 - Prob. 9QCh. 4 - Prob. 10QCh. 4 - Prob. 11QCh. 4 - Prob. 12QCh. 4 - Prob. 13QCh. 4 - Prob. 14QCh. 4 - (Indicates a review question, which means it...Ch. 4 - Prob. 16QCh. 4 - (Indicates a review question, which means it...Ch. 4 - Prob. 18QCh. 4 - (Indicates a review question, which means it...Ch. 4 - Prob. 20QCh. 4 - Prob. 21QCh. 4 - Prob. 22QCh. 4 - (Indicates a review question, which means it...Ch. 4 - Prob. 24QCh. 4 - (Indicates a review question, which means it...Ch. 4 - Prob. 26QCh. 4 - (Indicates a review question, which means it...Ch. 4 - (Indicates a review question, which means it...Ch. 4 - Prob. 29QCh. 4 - Prob. 30QCh. 4 - (Indicates a review question, which means it...Ch. 4 - Prob. 32QCh. 4 - Prob. 33QCh. 4 - Prob. 34QCh. 4 - (Indicates a review question, which means it...Ch. 4 - (Indicates a review question, which means it...Ch. 4 - (Indicates a review question, which means it...Ch. 4 - Prob. 38QCh. 4 - Prob. 39QCh. 4 - (Indicates a review question, which means it...Ch. 4 - Prob. 41QCh. 4 - (Indicates a review question, which means it...Ch. 4 - Prob. 1PCh. 4 - Prob. 2PCh. 4 - Prob. 3PCh. 4 - The water in the plumbing in a house is at a gauge...Ch. 4 - A box-shaped metal can has dimensions 8 in. by 4...Ch. 4 - A viewing window on the side of a large tank at a...Ch. 4 - A large chunk of metal has a mass of 393 kg, and...Ch. 4 - A small statue is recovered in an archaeological...Ch. 4 - A large tanker truck can carry 20 tons (40.000 lb)...Ch. 4 - . The total mass of the hydrogen gas in the...Ch. 4 - . A large balloon used to sample the upper...Ch. 4 - . A certain part of an aircraft engine has a...Ch. 4 - . The volume of the Drop Tower "Bremen" (a...Ch. 4 - . It is determined by immersing a crown in water...Ch. 4 - . Find the gauge pressure at the bottom of a...Ch. 4 - . The depth of the Pacific Ocean in the Mariana...Ch. 4 - . Calculate the gauge pressure at a depth of 300 m...Ch. 4 - . A storage tank 30 m high is filled with...Ch. 4 - . The highest point in North America is the top of...Ch. 4 - . The highest altitude ever reached by a glider...Ch. 4 - . An ebony log with volume 12 ft3 is submerged in...Ch. 4 - . An empty storage tank has a volume of 1,500 ft3....Ch. 4 - . A blimp used for aerial camera views of sporting...Ch. 4 - . A modern-day zeppelin holds 8,000 m3 of helium....Ch. 4 - . A box-shaped piece of concrete measures 3 ft by...Ch. 4 - . A juniper-wood plank measuring 0.25 ft by 1 ft...Ch. 4 - Prob. 27PCh. 4 - . A boat (with a flat bottom) and its cargo weigh...Ch. 4 - . A scale reads 100 N when a piece of aluminum is...Ch. 4 - . A rectangular block of ice with dimensions 2 m...Ch. 4 - . A dentist's chair with a person in it weighs...Ch. 4 - . A booster pump on a brake system designed to be...Ch. 4 - . The wing of an airplane has an average...Ch. 4 - , The volume flow rate m an artery that supplies...Ch. 4 - . Air flows through a heating duct with a square...Ch. 4 - When exactly 1 cup of sugar is dissolved in...Ch. 4 - Prob. 2CCh. 4 - Prob. 3CCh. 4 - Prob. 4CCh. 4 - Prob. 5CCh. 4 - Prob. 6CCh. 4 - Prob. 7CCh. 4 - Prob. 8CCh. 4 - Prob. 9CCh. 4 - Prob. 10CCh. 4 - Prob. 11CCh. 4 - Prob. 12CCh. 4 - Prob. 13CCh. 4 - , Water flows straight down from an open faucet...Ch. 4 - Prob. 15C
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