
Physics (5th Edition)
5th Edition
ISBN: 9780321976444
Author: James S. Walker
Publisher: PEARSON
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Textbook Question
Chapter 3.2, Problem 2EYU
A vector has the components Ax = 5 m and Ay = 3 m. (a) Is the magnitude of
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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
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(b) What is the y coordinate of the system's center of mass?
Ycom
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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 3 Solutions
Physics (5th Edition)
Ch. 3.1 - Is it possible for two vectors to be different...Ch. 3.2 - A vector has the components Ax = 5 m and Ay = 3 m....Ch. 3.3 - Several vectors are shown in Figure 3-16. The red...Ch. 3.4 - Which of the vectors shown in Figure 3-20 has the...Ch. 3.5 - An object moves along the brown path in Figure...Ch. 3.6 - Suppose the speed of the boat is increased in part...Ch. 3 - For the following quantities, indicate which is a...Ch. 3 - Which, if any of the vectors shown in Figure 3-36...Ch. 3 - Given that A+B=0, (a) how does the magnitude of B...Ch. 3 - Can a component of a vector be greater than the...
Ch. 3 - Prob. 5CQCh. 3 - Can a vector with zero magnitude heve one or more...Ch. 3 - Prob. 7CQCh. 3 - Prob. 8CQCh. 3 - Prob. 9CQCh. 3 - Prob. 10CQCh. 3 - Prob. 11CQCh. 3 - Use a sketch to show that two vectors of unequal...Ch. 3 - Rain is falling vertically downward and you are...Ch. 3 - When sailing, the wind feels stronger when you...Ch. 3 - Suppose that each component ot a certain vector is...Ch. 3 - Rank the vectors in Figure 3-37 in order of...Ch. 3 - Rank the vectors in Figure 3-37 in order of...Ch. 3 - Rank the vectors in Figure 3-37 in order of...Ch. 3 - The press box at a baseball park is 44.5 ft above...Ch. 3 - You are driving up a long, inclined road. After...Ch. 3 - A One-Percent Grade A road that rises 1 ft for...Ch. 3 - You walk in a straight line tor 95 m at an angle...Ch. 3 - Find the x and y components of a position vector r...Ch. 3 - A vector has the components Az = 22 m and Ay = 13...Ch. 3 - A vector has the components Az = 36 m and Ay = 43...Ch. 3 - A baseball diamond (Figure 3-38) is a square with...Ch. 3 - A lighthouse that rises 49 ft above the surface of...Ch. 3 - H2O A water molecule is shown schematically in...Ch. 3 - Prob. 15PCECh. 3 - You drive a car 660 ft to the east, then 340 ft to...Ch. 3 - Vector A has a magnitude of 50 units and points in...Ch. 3 - A treasure map directs you to start at a palm tree...Ch. 3 - A whale comes to the surface to breathe and then...Ch. 3 - Consider the vectors A and B shown in Figure 3-42....Ch. 3 - Refer to Figure 3-42 for the following questions...Ch. 3 - A vector A has a magnitude of 40.0 m and points in...Ch. 3 - An air traffic controller observes two airplanes...Ch. 3 - The initial velocity of a car, vi, is 45 km/h in...Ch. 3 - Vector A points in the positive x direction and...Ch. 3 - Vector A points in the negative x direction and...Ch. 3 - Vector A points in the negative y direction and...Ch. 3 - A basketball player runs down the court, following...Ch. 3 - A particle undergoes a displacement r of magnitude...Ch. 3 - A vector has a magnitude of 3.50 m and points in a...Ch. 3 - A vector A has a length of 6.1 m and points in the...Ch. 3 - The vector 5 2 A has a magnitude of 34 m and...Ch. 3 - Find the direction and magnitude of the vectors....Ch. 3 - Find the direction and magnitude of the vectors....Ch. 3 - For the vectors given in Problem 34, express (a)...Ch. 3 - Express each of the vectors in Figure 3-44 in unit...Ch. 3 - Referring to the vectors in Figure 3-44, express...Ch. 3 - The blue curves shown in Figure 3-45 display the...Ch. 3 - What are the direction and magnitude of your total...Ch. 3 - Predict/Calculate Moving the Knight Two of the...Ch. 3 - To visit your favorite ice cream shop, you must...Ch. 3 - Referring to Problem 41, suppose you lake 44 s to...Ch. 3 - You drive a car 1500 ft to the east, then 2500 ft...Ch. 3 - Predict/Calculate A jogger runs with a speed of...Ch. 3 - You throw a ball upward with an initial speed of...Ch. 3 - Consider a skateboarder who starts from rest at...Ch. 3 - In a soccer game a midfielder kicks the ball from...Ch. 3 - The accompanying photo shows a KC-10A Extender...Ch. 3 - As an airplane taxied on the runway with a speed...Ch. 3 - Referring to part (a) of Example 3-11, find the...Ch. 3 - A police car travels at 38.0 m/s due east while in...Ch. 3 - Consider the river crossing problem in Example...Ch. 3 - As you hurry to catch your flight at the local...Ch. 3 - In Problem 53, how much lime would it take you to...Ch. 3 - Predict/Calculate The pilot of an airplane wishes...Ch. 3 - A passenger walks from one side of a ferry to the...Ch. 3 - You are riding on a Jet Ski at an angle of 35...Ch. 3 - Predict/Calculate In Problem 57, suppose the Jet...Ch. 3 - Predict/Calculate Two people take identical Jet...Ch. 3 - CE Predict/Explain Consider the vectors A=(1.2m)x...Ch. 3 - CE Predict/Explain Two vectors are defined as...Ch. 3 - To be compliant with regulations the inclination...Ch. 3 - Find the direction and magnitude of the vector...Ch. 3 - Prob. 64GPCh. 3 - Prob. 65GPCh. 3 - Prob. 66GPCh. 3 - You pilot an airplane with the intent to fly 392...Ch. 3 - Find the x, y, and z components of the vector A...Ch. 3 - Observer 1 rides in a car and drops a ball from...Ch. 3 - A person riding in a subway train drops a ball...Ch. 3 - A football is thrown horizontally with an initial...Ch. 3 - As a function of time, the velocity of the...Ch. 3 - Two airplanes taxi as they approach the terminal....Ch. 3 - A shopper at the supermarket follows the path...Ch. 3 - BIO A food particle from your breakfast takes a...Ch. 3 - Initially a particle is moving at 4.10 m/s at an...Ch. 3 - A passenger on a stopped bus notices that rain is...Ch. 3 - Predict/Calculate Suppose we orient the x axis of...Ch. 3 - Predict/Calculate The Longitude Problem In 1759,...Ch. 3 - Referring to Example 3-11, (a) what heading must...Ch. 3 - Vector A points in the negative x direction....Ch. 3 - As two boats approach the marina, the velocity of...Ch. 3 - BIO Motion Camouflage in Dragonflies Dragonflies,...Ch. 3 - BIO Motion Camouflage in Dragonflies Dragonflies,...Ch. 3 - BIO Motion Camouflage in Dragonflies Dragonflies,...Ch. 3 - BIO Motion Camouflage in Dragonflies Dragonflies,...Ch. 3 - BIO Motion Camouflage in Dragonflies Dragonflies,...Ch. 3 - BIO Motion Camouflage in Dragonflies Dragonflies,...
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