ESSENTIAL UNIV.PHYS.-MOD.MASTERING(18W)
4th Edition
ISBN: 9780136780984
Author: Wolfson
Publisher: PEARSON
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Chapter 1, Problem 44E
To determine
The new rotation period.
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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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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 1 Solutions
ESSENTIAL UNIV.PHYS.-MOD.MASTERING(18W)
Ch. 1.2 - A Canadian speed limit of 50 km/h is closest to...Ch. 1.3 - Rank the numbers according to (1) their size and...Ch. 1 - Explain why measurement standards based on...Ch. 1 - Prob. 2FTDCh. 1 - Why doesnt Earths rotation provide a suitable time...Ch. 1 - To raise a power of 10 to another power, you...Ch. 1 - What facts might a scientist use in estimating...Ch. 1 - How would you determine the length of a curved...Ch. 1 - Write 1/x as x to some power.Ch. 1 - Emissions of carbon dioxide from fossil-fuel...
Ch. 1 - What is meant by an explicit-constant definition...Ch. 1 - Youre asked to make a rough estimate of the total...Ch. 1 - The power output of a typical large power plant is...Ch. 1 - The diameter of a hydrogen atom is about 0.1 nm,...Ch. 1 - Use the definition of the meter to determine how...Ch. 1 - Lake Baikal in Siberia holds the worlds largest...Ch. 1 - A hydrogen atom is about 0.1 nm in diameter. How...Ch. 1 - How long a piece of wire would you need to form a...Ch. 1 - Making a turn, a jetliner flies 2.1 km on a...Ch. 1 - A car is moving at 35.0 mi/h. Express its speed in...Ch. 1 - You have postage for a 1-oz letter but only a...Ch. 1 - A year is very nearly 107s. By what percentage...Ch. 1 - How many cubic centimeters are in a cubic meter?Ch. 1 - Prob. 22ECh. 1 - A gallon of paint covers 350 ft2. Whats its...Ch. 1 - Highways in Canada have speed limits of 100 km/h....Ch. 1 - One m/s is how many km/h?Ch. 1 - A 3.0-lb box of grass seed will seed 2100 ft2 of...Ch. 1 - A radian is how many degrees?Ch. 1 - Convert the following to SI units: (a) 55 mi/h:...Ch. 1 - The distance to the Andromeda galaxy, the nearest...Ch. 1 -
Add 3.6×105 m and 2.1 × 103 km.
Ch. 1 -
Divide 4.2 × 103 m/s by 0.57 ms, and express your...Ch. 1 - Prob. 32ECh. 1 - Find the cube root of 6.4 1019 without a...Ch. 1 - Add 1.46 m and 2.3 cm.Ch. 1 - Youre asked to specify the length of an updated...Ch. 1 - Repeat the preceding exercise, this time using...Ch. 1 -
Express a 45 mi/h speed limit in meters per...Ch. 1 - Prob. 38ECh. 1 - Prob. 39ECh. 1 - Prob. 40ECh. 1 - Prob. 41ECh. 1 - Prob. 42ECh. 1 - Prob. 43ECh. 1 - Prob. 44ECh. 1 - To see why its important to carry more digits in...Ch. 1 - Youve been hired as an environmental watchdog for...Ch. 1 - The average dairy cow produces about 104 kg of...Ch. 1 - How many Earths would fit inside the Sun?Ch. 1 - The average American uses electrical energy at the...Ch. 1 -
Estimate, to an order of magnitude, the number of...Ch. 1 - A human hair is about 100 m across. Estimate the...Ch. 1 - Youre working in the fraud protection division of...Ch. 1 - Bubble gums density is about 1 g/cm3. You blow an...Ch. 1 - The Moon barely covers the Sun during a solar...Ch. 1 - The semiconductor chip at the heart of a personal...Ch. 1 - Estimate the number of (a) atoms and (b) cells in...Ch. 1 -
The numbers 1.27 and 9.97 are both good to three...Ch. 1 - Continental drift occurs at about the rate your...Ch. 1 - Youre driving into Canada and trying to decide...Ch. 1 - In the 1908 London Olympics, the intended 26-mile...Ch. 1 - An environmental group is lobbying to shut down a...Ch. 1 - If youre working from the print version of this...Ch. 1 - Estimate the area of skin on your body.Ch. 1 - Estimate the mass of water in the worlds oceans,...Ch. 1 - Express the following with appropriate units and...Ch. 1 - Prob. 66PCh. 1 - Prob. 67PCh. 1 - The world consumes energy at the rate of about 500...Ch. 1 - The volume of a sphere is given by V=43r3, where r...Ch. 1 - The human body contains about 1014 cells, and the...Ch. 1 - The human body contains about 1014 cells, and the...Ch. 1 - The human body contains about 1014 cells, and the...Ch. 1 - The human body contains about 1014 cells, and the...
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