
Modified Mastering Physics with Pearson eText -- Combo Access -- for Physics for Scientist and Engineers (18 week)
5th Edition
ISBN: 9780137504299
Author: Douglas C. Giancoli
Publisher: Pearson Education (US)
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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 21 Solutions
Modified Mastering Physics with Pearson eText -- Combo Access -- for Physics for Scientist and Engineers (18 week)
Ch. 21.5 - Return to the Chapter-Opening Question, page 559,...Ch. 21.5 - Prob. 1BECh. 21.5 - Determine the magnitude and direction of the net...Ch. 21.5 - (a) Consider two point charges of the same...Ch. 21.6 - Four charges of equal magnitude, but possibly...Ch. 21 - If you charge a pocket comb by rubbing it with a...Ch. 21 - Why does a shirt or blouse taken from a clothes...Ch. 21 - Explain why fog or rain droplets tend to form...Ch. 21 - A positively charged rod is brought close to a...Ch. 21 - Why does a plastic ruler that has been rubbed with...
Ch. 21 - Contrast the net charge on a conductor to the free...Ch. 21 - Figures 217 and 218 show how a charged rod placed...Ch. 21 - When an electroscope is charged, the two leaves...Ch. 21 - Prob. 9QCh. 21 - Prob. 10QCh. 21 - The form of Coulombs law is very similar to that...Ch. 21 - We are not normally aware of the gravitational or...Ch. 21 - What experimental observations mentioned in the...Ch. 21 - When a charged ruler attracts small pieces of...Ch. 21 - Explain why the test charges we use when measuring...Ch. 21 - When determining an electric field, must we use a...Ch. 21 - Draw the electric field lines surrounding two...Ch. 21 - Assume that the two opposite charges in Fig. 2134a...Ch. 21 - Consider the electric field at the three points...Ch. 21 - Why can electric field lines never cross?Ch. 21 - Prob. 21QCh. 21 - Given two point charges, Q and 2Q, a distance ...Ch. 21 - Suppose the ring of Fig. 2128 has a uniformly...Ch. 21 - Consider a small positive test charge located on...Ch. 21 - We wish to determine the electric field at a point...Ch. 21 - In what ways does the electron motion in Example...Ch. 21 - Explain why there can be a net force on an...Ch. 21 - Describe the motion of the dipole shown in Fig....Ch. 21 - Prob. 1MCQCh. 21 - Prob. 2MCQCh. 21 - Prob. 3MCQCh. 21 - Prob. 4MCQCh. 21 - Prob. 5MCQCh. 21 - Prob. 6MCQCh. 21 - Prob. 7MCQCh. 21 - Prob. 8MCQCh. 21 - Prob. 9MCQCh. 21 - Prob. 10MCQCh. 21 - Prob. 11MCQCh. 21 - Prob. 12MCQCh. 21 - (I) What is the magnitude of the electric force of...Ch. 21 - Prob. 2PCh. 21 - Prob. 3PCh. 21 - Prob. 4PCh. 21 - Prob. 5PCh. 21 - Prob. 6PCh. 21 - Prob. 7PCh. 21 - Prob. 8PCh. 21 - Prob. 9PCh. 21 - (II) Compare the electric force holding the...Ch. 21 - (II) Two positive point charges are a fixed...Ch. 21 - Prob. 12PCh. 21 - Prob. 13PCh. 21 - Prob. 14PCh. 21 - Prob. 15PCh. 21 - (II) Two negative and two positive point charges...Ch. 21 - Prob. 17PCh. 21 - Prob. 18PCh. 21 - Prob. 19PCh. 21 - Prob. 20PCh. 21 - (III) Two positive charges +Q are affixed rigidly...Ch. 21 - Prob. 22PCh. 21 - Prob. 23PCh. 21 - Prob. 24PCh. 21 - Prob. 25PCh. 21 - Prob. 26PCh. 21 - Prob. 27PCh. 21 - Prob. 28PCh. 21 - Prob. 29PCh. 21 - (II) A long uniformly charged thread (linear...Ch. 21 - Prob. 31PCh. 21 - Prob. 32PCh. 21 - Prob. 33PCh. 21 - (II) Determine the direction and magnitude of the...Ch. 21 - Prob. 35PCh. 21 - (II) A very thin line of charge lies along the x...Ch. 21 - (II) (a) Determine the electric field E at the...Ch. 21 - (II) Draw, approximately, the electric field lines...Ch. 21 - (II) Two parallel circular rings of radius R have...Ch. 21 - (II) You are given two unknown point charges, Q1...Ch. 21 - Prob. 41PCh. 21 - (II) (a) Two equal charges Q are positioned at...Ch. 21 - (II) At what position, x = xM, is the magnitude of...Ch. 21 - (II) The uniformly charged straight wire in...Ch. 21 - (II) Determine the direction and magnitude of the...Ch. 21 - (II) Use your result from Problem 46 to find the...Ch. 21 - (II) A thin rod bent into the shape of an arc of a...Ch. 21 - (III) Suppose a uniformly charged wire starts at...Ch. 21 - Prob. 50PCh. 21 - (III) A thin rod of length carries a total charge...Ch. 21 - (III) Uniform plane of charge. Charge is...Ch. 21 - Prob. 53PCh. 21 - Prob. 54PCh. 21 - Prob. 55PCh. 21 - Prob. 56PCh. 21 - Prob. 57PCh. 21 - (II) A positive charge q is placed at the center...Ch. 21 - (II) A dipole consists of charges +e and e...Ch. 21 - (II) The HCl molecule has a dipole moment of about...Ch. 21 - (II) An electric dipole, of dipole moment p and...Ch. 21 - (II) Suppose both charges in Fig. 2145 (for a...Ch. 21 - (III) Suppose a dipole p is placed in a nonuniform...Ch. 21 - Prob. 64PCh. 21 - Prob. 65PCh. 21 - How close must two electrons be if the electric...Ch. 21 - Prob. 67GPCh. 21 - A water droplet of radius 0.018 mm remains...Ch. 21 - Estimate the net force between the CO group and...Ch. 21 - Suppose that electrical attraction, rather than...Ch. 21 - In a simple model of the hydrogen atom, the...Ch. 21 - A positive point charge Q1 = 2.5 105 C is fixed...Ch. 21 - When clothes are removed from a dryer, a 40-g sock...Ch. 21 - Dry air will break down and generate a spark if...Ch. 21 - Prob. 76GPCh. 21 - Packing material made of pieces of foamed...Ch. 21 - One type of electric quadrupole consists of two...Ch. 21 - Suppose electrons enter a uniform electric field...Ch. 21 - Prob. 80GPCh. 21 - Three very large square planes of charge are...Ch. 21 - Prob. 82GPCh. 21 - Prob. 83GPCh. 21 - Prob. 84GPCh. 21 - Prob. 85GPCh. 21 - A one-dimensional row of positive ions, each with...Ch. 21 - Prob. 87GPCh. 21 - Prob. 88GPCh. 21 - Prob. 89GPCh. 21 - Prob. 90GPCh. 21 - Prob. 91GPCh. 21 - Prob. 92GP
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