University Physics with Modern Physics, Volume 1 (Chs. 1-20) (14th Edition)
14th Edition
ISBN: 9780133978049
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Chapter 11, Problem 11.3DQ
To determine
To discuss: The procedure in which a car tire is pivoted about the center and weights are added to the wheel rim until it does not tip from the horizontal plane.
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Question 3 of 17
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L
L
T
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
L
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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 11 Solutions
University Physics with Modern Physics, Volume 1 (Chs. 1-20) (14th Edition)
Ch. 11.1 - Which situation satisfies both the first and...Ch. 11.2 - A rock is attached to the left end of a uniform...Ch. 11.3 - A metal advertising sign (weight w) for a...Ch. 11.4 - A copper rod of cross-sectional area 0.500 cm2 and...Ch. 11.5 - While parking your car, you accidentally back into...Ch. 11 - Does a rigid object in uniform rotation about a...Ch. 11 - (a) Is it possible for an object to be in...Ch. 11 - Prob. 11.3DQCh. 11 - Does the center of gravity of a solid body always...Ch. 11 - Prob. 11.5DQ
Ch. 11 - You are balancing a wrench by suspending it at a...Ch. 11 - You can probably stand flatfooted on the floor and...Ch. 11 - Prob. 11.8DQCh. 11 - An object consists of a ball of weight W glued to...Ch. 11 - Prob. 11.10DQCh. 11 - Prob. 11.11DQCh. 11 - In pioneer days, when a Conestoga wagon was stuck...Ch. 11 - The mighty Zimbo claims to have leg muscles so...Ch. 11 - Why is it easier to hold a 10-kg dumbbell in your...Ch. 11 - Certain features of a person, such as height and...Ch. 11 - During pregnancy, women often develop back pains...Ch. 11 - Why is a tapered water glass with a narrow base...Ch. 11 - Prob. 11.18DQCh. 11 - A uniform beam is suspended horizontally and...Ch. 11 - If a metal wire has its length doubled and its...Ch. 11 - A metal wire of diameter D stretches by 0.100 mm...Ch. 11 - Prob. 11.22DQCh. 11 - The material in human bones and elephant bones is...Ch. 11 - There is a small bui appreciable amount of elastic...Ch. 11 - When rubber mounting blocks are used to absorb...Ch. 11 - A 0.120-kg. 50.0-cm-long uniform bar has a small...Ch. 11 - Prob. 11.2ECh. 11 - A uniform rod is 2.00 m long and has mass 1.80 kg....Ch. 11 - A uniform 300-N trapdoor in a floor is hinged at...Ch. 11 - Raising a Ladder. A ladder carried by a fire truck...Ch. 11 - Two people are carrying a uniform wooden board...Ch. 11 - Two people carry a heavy electric motor by placing...Ch. 11 - A 60.0-cm. uniform. 50.0-N shelf is supported...Ch. 11 - A 350-N, uniform. 1.50-m bar is suspended...Ch. 11 - A uniform ladder 5.0 m long rests against a...Ch. 11 - A diving board 3.00 m long is supported at a point...Ch. 11 - A uniform aluminum beam 9.00 m long, weighing 300...Ch. 11 - Find the tension T in each cable and the magnitude...Ch. 11 - The horizontal beam in Fig. E11.14 weighs 190 N....Ch. 11 - The boom shown in Fig. E11.15 weighs 2600 N and is...Ch. 11 - Suppose that you can lift no more than 650 N...Ch. 11 - A 9.00-m-long uniform beam is hinged to a vertical...Ch. 11 - A 15,000-N crane pivots around a friction-free...Ch. 11 - A 3.00-m-long. 190-N, uniform rod at the zoo is...Ch. 11 - A nonuniform beam 4.50 m long and weighing 1.40 kN...Ch. 11 - A Couple. Two forces equal in magnitude and...Ch. 11 - BIO A Good Workout. You are doing exercises on a...Ch. 11 - BIO Neck Muscles. A student bends her head at 40.0...Ch. 11 - BIO Biceps Muscle. A relaxed biceps muscle...Ch. 11 - A circular steel wire 2.00 m long must stretch no...Ch. 11 - Two circular rods, one steel and the other copper,...Ch. 11 - A metal rod that is 4.00 m long and 0.50 cm2 in...Ch. 11 - Stress on a Mountaineers Rope. A nylon rope used...Ch. 11 - In constructing a large mobile, an artist hangs an...Ch. 11 - A vertical, solid steel post 25 cm in diameter and...Ch. 11 - BIO Compression of Human Bone. The bulk modulus...Ch. 11 - A solid gold bar is pulled up from the hold of the...Ch. 11 - A specimen of oil having an initial volume of 600...Ch. 11 - In the Challenger Deep of the Marianas Trench, the...Ch. 11 - A copper cube measures 6.00 cm on each side. The...Ch. 11 - A square steel plate is 10.0 cm on a side and...Ch. 11 - In lab tests on a 9.25-cm cube of a certain...Ch. 11 - A brass wire is to withstand a tensile force of...Ch. 11 - In a materials testing laboratory, a metal wire...Ch. 11 - A 4.0-m-long steel wire has a cross-sectional area...Ch. 11 - CP A steel cable with cross-sectional area 3.00...Ch. 11 - A door 1.00 m wide and 2.00 m high weighs 330 N...Ch. 11 - A box of negligible mass rests at the lett end of...Ch. 11 - Sir Lancelot rides slowly out of the castle at...Ch. 11 - Mountain Climbing. Mountaineers often use a rope...Ch. 11 - A uniform, 8.0-m, 1150-kg beam is hinged to a wall...Ch. 11 - A uniform, 255.N rod that is 2.00 m long carries a...Ch. 11 - A claw hammer is used to pull a nail out of a...Ch. 11 - You open a restaurant and hope to entice customers...Ch. 11 - End A of the bar AB in Fig. P11.50 rests on a...Ch. 11 - BIO Supporting a Broken Leg. A therapist tells a...Ch. 11 - A Truck on a Drawbridge. A loaded cement mixer...Ch. 11 - BIO Leg Raises. In a simplified version of the...Ch. 11 - BIO Pumping Iron. A 72.0-kg weightlifter doing arm...Ch. 11 - Prob. 11.55PCh. 11 - You are asked to design the decorative mobile...Ch. 11 - A uniform, 7.5-m-long beam weighing 6490 N is...Ch. 11 - CP A uniform drawbridge must be held at a 37 angle...Ch. 11 - BIO Tendon-Stretching Exercises. As part of an...Ch. 11 - (a) In Fig. P11.60 a 6.00-m-loog, uniform beam is...Ch. 11 - A uniform, horizontal flagpole 5.00 m long with a...Ch. 11 - A holiday decoration consists of two shiny glass...Ch. 11 - BIO Downward-Facing Dog. The yoga exercise...Ch. 11 - A uniform metal bar that is 8.00 m long and has...Ch. 11 - A worker wants to turn over a uniform. 1250-N,...Ch. 11 - One end of a uniform meter stick is placed against...Ch. 11 - Two friends are carrying a 200-kg crate up a...Ch. 11 - BIO Forearm. In the human arm, the forearm and...Ch. 11 - BIO CALC Refer to the discussion of holding a...Ch. 11 - In a city park a nonuniform wooden beam 4.00 m...Ch. 11 - You are a summer intern for an architectural firm....Ch. 11 - You are trying to raise a bicycle wheel of mass m...Ch. 11 - The Farmyard Gate. A gate 4.00 m wide and 2.00 m...Ch. 11 - If you put a uniform block at the edge of a table,...Ch. 11 - Two uniform, 75.0-g marbles 2.00 cm in diameter...Ch. 11 - Two identical, uniform beams weighing 260 N each...Ch. 11 - An engineer is designing a conveyor system for...Ch. 11 - A weight W is supported by attaching it to a...Ch. 11 - A garage door is mounted on an overhead rail (Fig....Ch. 11 - Pyramid Guilders. Ancient pyramid builders are...Ch. 11 - CP A 12.0-kg mass, fastened to the end of an...Ch. 11 - Hookes Law for a Wire. A wire of length l0 and...Ch. 11 - A 1.05-m-long rod of negligible weight is...Ch. 11 - CP An amusement park ride consists of...Ch. 11 - CP BIO Stress on the Shin Bone. The compressive...Ch. 11 - DATA You are to use a long, thin wire to build a...Ch. 11 - Prob. 11.87PCh. 11 - DATA You are a construction engineer working on...Ch. 11 - Two ladders, 4.00 m and 3.00 m long, are hinged at...Ch. 11 - Knocking Over a Post. One end of a post weighing...Ch. 11 - An angler hangs a 4.50-kg fish from a vertical...Ch. 11 - BIO TORQUES AND TUG-OF-WAR. In a study of the...Ch. 11 - If he leans slightly farther back (increasing the...Ch. 11 - BIO TORQUES AND TUG-OF-WAR. In a study of the...Ch. 11 - BIO TORQUES AND TUG-OF-WAR. In a study of the...
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