Principles of Physics: A Calculus-Based Text
5th Edition
ISBN: 9781133104261
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 5, Problem 33P
(a)
To determine
The value of constant
(b)
To determine
The speed at
(c)
To determine
Show that the acceleration of the boat is proportional to the speed at any time.
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Question 3 of 17
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L
L
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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 5 Solutions
Principles of Physics: A Calculus-Based Text
Ch. 5.1 - You press your physics textbook flat against a...Ch. 5.1 - A crate is located in the center of a flatbed...Ch. 5.1 - You are playing with your daughter in the snow....Ch. 5.2 - You are riding on a Ferris wheel (Fig. 5.8) that...Ch. 5.3 - Which of the following is impossible for a car...Ch. 5.3 - A bead slides freely along a curved wire lying on...Ch. 5.4 - Consider a sky surfer falling through air, as in...Ch. 5 - The driver of a speeding empty truck slams on the...Ch. 5 - The manager of a department store is pushing...Ch. 5 - An object of mass m moves with acceleration a down...
Ch. 5 - An office door is given a sharp push and swings...Ch. 5 - Prob. 5OQCh. 5 - A pendulum consists of a small object called a bob...Ch. 5 - A door in a hospital has a pneumatic closer that...Ch. 5 - The driver of a speeding truck slams on the brakes...Ch. 5 - A child is practicing for a BMX race. His speed...Ch. 5 - A large crate of mass m is placed on the flatbed...Ch. 5 - Before takeoff on an airplane, an inquisitive...Ch. 5 - Prob. 12OQCh. 5 - As a raindrop falls through the atmosphere, its...Ch. 5 - An object of mass m is sliding with speed vi at...Ch. 5 - A car is moving forward slowly and is speeding up....Ch. 5 - Prob. 2CQCh. 5 - Prob. 3CQCh. 5 - Prob. 4CQCh. 5 - Prob. 5CQCh. 5 - Prob. 6CQCh. 5 - Prob. 7CQCh. 5 - Prob. 8CQCh. 5 - Prob. 9CQCh. 5 - Prob. 10CQCh. 5 - It has been suggested that rotating cylinders...Ch. 5 - Prob. 12CQCh. 5 - Why does a pilot tend to black out when pulling...Ch. 5 - Prob. 1PCh. 5 - Prob. 2PCh. 5 - Prob. 3PCh. 5 - Prob. 4PCh. 5 - Prob. 5PCh. 5 - The person in Figure P5.6 weighs 170 lb. As seen...Ch. 5 - A 9.00-kg hanging object is connected by a light,...Ch. 5 - Prob. 8PCh. 5 - A 3.00-kg block starts from rest at the top of a...Ch. 5 - Prob. 10PCh. 5 - Prob. 11PCh. 5 - A block of mass 3.00 kg is pushed up against a...Ch. 5 - Two blocks connected by a rope of negligible mass...Ch. 5 - Three objects are connected on a table as shown in...Ch. 5 - Why is the following situation impossible? Your...Ch. 5 - Prob. 16PCh. 5 - A light string can support a stationary hanging...Ch. 5 - Why is the following situation impossible? The...Ch. 5 - A crate of eggs is located in the middle of the...Ch. 5 - Prob. 20PCh. 5 - Prob. 21PCh. 5 - A roller coaster at the Six Flags Great America...Ch. 5 - Prob. 23PCh. 5 - Prob. 24PCh. 5 - Prob. 25PCh. 5 - A pail of water is rotated in a vertical circle of...Ch. 5 - Prob. 27PCh. 5 - A child of mass m swings in a swing supported by...Ch. 5 - Prob. 29PCh. 5 - (a) Estimate the terminal speed of a wooden sphere...Ch. 5 - Prob. 31PCh. 5 - Prob. 32PCh. 5 - Prob. 33PCh. 5 - A 9.00-kg object starting from rest falls through...Ch. 5 - Prob. 35PCh. 5 - Prob. 36PCh. 5 - Prob. 37PCh. 5 - Prob. 38PCh. 5 - Prob. 39PCh. 5 - Prob. 40PCh. 5 - Prob. 41PCh. 5 - Prob. 42PCh. 5 - Consider the three connected objects shown in...Ch. 5 - A car rounds a banked curve as discussed in...Ch. 5 - Prob. 45PCh. 5 - An aluminum block of mass m1 = 2.00 kg and a...Ch. 5 - Figure P5.47 shows a photo of a swing ride at an...Ch. 5 - Why is the following situation impossible? A...Ch. 5 - A space station, in the form of a wheel 120 m in...Ch. 5 - A 5.00-kg block is placed on top of a 10.0-kg...Ch. 5 - In Example 6.5, we investigated the forces a child...Ch. 5 - Prob. 52PCh. 5 - Prob. 53PCh. 5 - Prob. 54PCh. 5 - Prob. 55PCh. 5 - Prob. 56PCh. 5 - Prob. 57PCh. 5 - Why is the following situation impossible? A book...Ch. 5 - A single bead can slide with negligible friction...Ch. 5 - An amusement park ride consists of a large...Ch. 5 - Prob. 61PCh. 5 - Prob. 62PCh. 5 - Prob. 63PCh. 5 - If a single constant force acts on an object that...
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