
PHYSICS F/SCI.+ENGR.,CHAPTERS 1-37
5th Edition
ISBN: 9780134378060
Author: GIANCOLI
Publisher: RENT PEARS
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Question 3 of 17
L
X
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
X
Q Search
MD
bp
N
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 5 Solutions
PHYSICS F/SCI.+ENGR.,CHAPTERS 1-37
Ch. 5.1 - If s = 0.40 and mg = 20 N, what minimum force F...Ch. 5.1 - Prob. 1BECh. 5.2 - Prob. 1CECh. 5.2 - If the radius is doubled to 1.20m but the period...Ch. 5.3 - Prob. 1EECh. 5.3 - A rider on a Ferris wheel moves in a vertical...Ch. 5.4 - Prob. 1GECh. 5.4 - Can a heavy truck and a small car travel safely at...Ch. 5.5 - When the speed of the race car in Example 516 is...Ch. 5 - A heavy crate rests on the bed of a flatbed truck....
Ch. 5 - A block is given a push so that it slides up a...Ch. 5 - Cross-country skiers prefer their skis to have a...Ch. 5 - Prob. 4QCh. 5 - It is not easy to walk on an icy sidewalk without...Ch. 5 - Why is the stopping distance of a truck much...Ch. 5 - A car rounds a curve at a steady 50 km/h. If it...Ch. 5 - Will the acceleration of a car be the same when a...Ch. 5 - Describe all the forces acting on a child riding a...Ch. 5 - A child on a sled comes flying over the crest of a...Ch. 5 - Sometimes it is said that water is removed from...Ch. 5 - Technical reports often specify only the rpm for...Ch. 5 - A girl is whirling a ball on a string around her...Ch. 5 - The game of tetherball is played with a ball tied...Ch. 5 - Astronauts who spend long periods in outer space...Ch. 5 - A bucket of water can be whirled in a vertical...Ch. 5 - A car maintains a constant speed v as it traverses...Ch. 5 - Why do bicycle riders lean in when rounding a...Ch. 5 - Why do airplanes bank when they turn? How would...Ch. 5 - For a drag force of the form F = bv, what are the...Ch. 5 - Suppose two forces act on an object, one force...Ch. 5 - Prob. 2MCQCh. 5 - Prob. 3MCQCh. 5 - Prob. 4MCQCh. 5 - Prob. 5MCQCh. 5 - Prob. 6MCQCh. 5 - Prob. 7MCQCh. 5 - Prob. 8MCQCh. 5 - Prob. 9MCQCh. 5 - Prob. 12MCQCh. 5 - Prob. 13MCQCh. 5 - Prob. 1PCh. 5 - Prob. 2PCh. 5 - (I) Suppose you are standing on a train...Ch. 5 - (I) The coefficient of static friction between...Ch. 5 - Prob. 5PCh. 5 - Prob. 6PCh. 5 - (II) A car can decelerate at 3.80 m/s2 without...Ch. 5 - Prob. 8PCh. 5 - Prob. 9PCh. 5 - (II) A box is given a push so that it slides...Ch. 5 - (II) A skier moves down a 27 slope at constant...Ch. 5 - (II) A wet bar of soap slides freely down a ramp...Ch. 5 - Prob. 13PCh. 5 - Prob. 14PCh. 5 - Prob. 15PCh. 5 - (II) Police investigators, examining the scene of...Ch. 5 - (II) Piles of snow on slippery roofs can become...Ch. 5 - Prob. 18PCh. 5 - (II) Two crates, of mass 65 kg and 125 kg, are in...Ch. 5 - Prob. 20PCh. 5 - (II) A crate is given an initial speed of 3.0 m/s...Ch. 5 - (II) A flatbed truck is carrying a heavy crate....Ch. 5 - Prob. 23PCh. 5 - Prob. 24PCh. 5 - (II) A package of mass m is dropped vertically...Ch. 5 - (II) Two masses mA = 2.0 kg and mB = 5.0 kg are on...Ch. 5 - Prob. 27PCh. 5 - (II) (a) Suppose the coefficient of kinetic...Ch. 5 - Prob. 29PCh. 5 - (II) For two blocks, connected by a cord and...Ch. 5 - Prob. 31PCh. 5 - (III) A 3.0-kg block sits on top of a 5.0-kg block...Ch. 5 - (III) A 4.0-kg block is stacked on top of a...Ch. 5 - (III) A small block of mass m rests on the rough...Ch. 5 - Prob. 35PCh. 5 - Prob. 36PCh. 5 - Prob. 37PCh. 5 - (I) A jet plane traveling 1890 km/h (525 m/s)...Ch. 5 - Prob. 39PCh. 5 - Prob. 40PCh. 5 - Prob. 41PCh. 5 - (II) How fast (in rpm) must a centrifuge rotate if...Ch. 5 - Prob. 43PCh. 5 - (II) Redo Example 511, precisely this time, by not...Ch. 5 - (II) Highway curves are marked with a suggested...Ch. 5 - Prob. 46PCh. 5 - (II) At what minimum speed must a roller coaster...Ch. 5 - Prob. 48PCh. 5 - Prob. 49PCh. 5 - Prob. 50PCh. 5 - Prob. 51PCh. 5 - Prob. 52PCh. 5 - Prob. 53PCh. 5 - Prob. 54PCh. 5 - Prob. 55PCh. 5 - Prob. 56PCh. 5 - Prob. 57PCh. 5 - (II) Two blocks with masses mA and mB, are...Ch. 5 - Prob. 59PCh. 5 - Prob. 60PCh. 5 - (II) A pilot performs an evasive maneuver by...Ch. 5 - (III) The position of a particle moving in the xy...Ch. 5 - (III) If a curve with a radius of 85 m is properly...Ch. 5 - Prob. 65PCh. 5 - Prob. 67PCh. 5 - Prob. 68PCh. 5 - Prob. 69PCh. 5 - (III) An object of mass m is constrained to move...Ch. 5 - (I) Use dimensional analysis (Section 17) in...Ch. 5 - (II) The terminal velocity of a 3 105 kg raindrop...Ch. 5 - (III) Determine a formula for the position and...Ch. 5 - (III) The drag force on large objects such as...Ch. 5 - (II) An object moving vertically has v=v0at t = 0....Ch. 5 - Prob. 77PCh. 5 - Prob. 78PCh. 5 - (III) A motorboat traveling at a speed of 2.4 m/s...Ch. 5 - A coffee cup on the horizontal dashboard of a car...Ch. 5 - Prob. 81GPCh. 5 - Prob. 82GPCh. 5 - Prob. 83GPCh. 5 - A flat puck (mass M) is revolved in a circle on a...Ch. 5 - In a Rotor-ride at a carnival, people rotate in a...Ch. 5 - Prob. 86GPCh. 5 - Prob. 87GPCh. 5 - The 70.0-kg climber in Fig. 550 is supported in...Ch. 5 - A small mass m is set on the surface of a sphere,...Ch. 5 - Prob. 90GPCh. 5 - Prob. 91GPCh. 5 - Prob. 92GPCh. 5 - Prob. 93GPCh. 5 - Prob. 94GPCh. 5 - Prob. 95GPCh. 5 - A car is heading down a slippery road at a speed...Ch. 5 - Prob. 97GPCh. 5 - A banked curve of radius R in a new highway...Ch. 5 - Earth is not quite an inertial frame. We often...Ch. 5 - Prob. 100GPCh. 5 - Prob. 101GPCh. 5 - A car starts rolling down a 1-in-4 hill (1-in-4...Ch. 5 - The sides of a cone make an angle with the...Ch. 5 - Prob. 104GPCh. 5 - A ball of mass m = 1.0 kg at the end of a thin...Ch. 5 - Prob. 106GP
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