CONCEPT. INTEG. SCI. -ACCESS W/ ETEXT
3rd Edition
ISBN: 9780135626566
Author: Hewitt
Publisher: INTER PEAR
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Chapter 8, Problem 49PC
A pendulum swing to and fro every
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You are standing a distance x = 1.75 m away from this mirror. The object you are looking at is y = 0.29 m from the mirror. The angle of incidence is θ = 30°. What is the exact distance from you to the image?
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A planar double pendulum consists of two point masses \[m_1 = 1.00~\mathrm{kg}, \qquad m_2 = 1.00~\mathrm{kg}\]connected by massless, rigid rods of lengths \[L_1 = 1.00~\mathrm{m}, \qquad L_2 = 1.20~\mathrm{m}.\]The upper rod is hinged to a fixed pivot; gravity acts vertically downward with\[g = 9.81~\mathrm{m\,s^{-2}}.\]Define the generalized coordinates \(\theta_1,\theta_2\) as the angles each rod makes with thedownward vertical (positive anticlockwise, measured in radians unless stated otherwise).At \(t=0\) the system is released from rest with \[\theta_1(0)=120^{\circ}, \qquad\theta_2(0)=-10^{\circ}, \qquad\dot{\theta}_1(0)=\dot{\theta}_2(0)=0 .\]Using the exact nonlinear equations of motion (no small-angle or planar-pendulumapproximations) and assuming the rods never stretch or slip, determine the angle\(\theta_2\) at the instant\[t = 10.0~\mathrm{s}.\]Give the result in degrees, in the interval \((-180^{\circ},180^{\circ}]\).
Chapter 8 Solutions
CONCEPT. INTEG. SCI. -ACCESS W/ ETEXT
Ch. 8 - Distinguish among amplitude, wavelength,...Ch. 8 - What is the source of all waves?Ch. 8 - In one word, what is it that moves from source to...Ch. 8 - Does the medium in which a wave travels move with...Ch. 8 - What is the relationship among frequency,...Ch. 8 - In what direction are the vibrations relative to...Ch. 8 - Distinguish between a compression and a...Ch. 8 - Define the wavelength of sound in terms of...Ch. 8 - Can sound travel through a vacuum? Why or why not?Ch. 8 - Why does a struck tuning fork sound louder when...
Ch. 8 - Distinguish between forced vibrations and...Ch. 8 - What is the principal difference between a radio...Ch. 8 - How does the frequency of an electromagnetic wave...Ch. 8 - Prob. 14RCQCh. 8 - Prob. 15RCQCh. 8 - The sound coming from one tuning fork can force...Ch. 8 - a What is the fate of the energy in ultraviolet...Ch. 8 - How does the average speed of light in glass...Ch. 8 - What is the relationship between the frequency of...Ch. 8 - Distinguish between the white of this page and the...Ch. 8 - Prob. 21RCQCh. 8 - Does a single raindrop illuminated by sunlight...Ch. 8 - Does a viewer see a single color or a spectrum of...Ch. 8 - Prob. 24RCQCh. 8 - For an opening of a given size, is diffraction...Ch. 8 - Does diffraction help or hinder viewing with a...Ch. 8 - What kinds of waves exhibit interference?Ch. 8 - Distinguish between constructive interference and...Ch. 8 - Why does an observer measure waves from an...Ch. 8 - Prob. 30RCQCh. 8 - Prob. 31RCQCh. 8 - When does light behave as a particle? When does it...Ch. 8 - A pair of sound waves of different wavelengths...Ch. 8 - A cat can hear sound frequencies up to 70, 000 Hz....Ch. 8 - What is the practical reason for the yellow-green...Ch. 8 - What single color of light illuminating a ripe...Ch. 8 - Prob. 37TISCh. 8 - Three spotlights, red, green, and blue, illuminate...Ch. 8 - The top photo shows Earth science author Suzanne...Ch. 8 - Explain why, in terms of the bunching together of...Ch. 8 - How does the Doppler effect provide evidence that...Ch. 8 - A pendulum swing to and fro every 3s. Show that...Ch. 8 - Another pendulum swings to and fro at a regular...Ch. 8 - A 3-m-long wave oscillates 1.5timeseachsecond....Ch. 8 - Show that a certain 1.2-m long wave with a...Ch. 8 - A tuning fork produces a sound with a frequency of...Ch. 8 - The siren of a fire engine is heard when the fire...Ch. 8 - A woman looks at her face in the handheld mirror....Ch. 8 - Wheels from a toy cart are rolled from a concrete...Ch. 8 - Prob. 57TCCh. 8 - Electrons on the antenna of a radio broadcasting...Ch. 8 - Show that the round-trip time for a laser pulse...Ch. 8 - The star Alpha Centauri is 4.21016m away from...Ch. 8 - Blue-green light has a frequency of about 61014Hz...Ch. 8 - Prob. 62TSCh. 8 - When you walk toward a mirror, you see your image...Ch. 8 - Prob. 64TSCh. 8 - What does it mean to say that a radio station is...Ch. 8 - How does the frequency of a vibrating object...Ch. 8 - You dip your finger at a steady rate into a puddle...Ch. 8 - How does the frequency of vibration of a Ping-Pong...Ch. 8 - What kind of motions you impart to a stretched...Ch. 8 - Which sound is louder: a sound wave of high...Ch. 8 - Prob. 71TECh. 8 - What is the danger posed by the people in the...Ch. 8 - When does forced vibration produce resonance?Ch. 8 - What physical principle does Manuel use when he...Ch. 8 - What is the fundamental source of electromagnetic...Ch. 8 - Prob. 76TECh. 8 - Prob. 77TECh. 8 - What must be the minimum height of a vertical...Ch. 8 - Prob. 79TECh. 8 - A womans eye at point P looks into the mirror....Ch. 8 - Prob. 81TECh. 8 - Prob. 82TECh. 8 - Is light transparent or opaque to the light of...Ch. 8 - Short wavelengths of visible light interact more...Ch. 8 - What determines whether a material is transparent...Ch. 8 - Prob. 86TECh. 8 - We say all the colors in the rainbow produce...Ch. 8 - Prob. 88TECh. 8 - What color of light do we see when only red and...Ch. 8 - A friend says that a change in speed is necessary...Ch. 8 - Prob. 91TECh. 8 - A pair of toy cart wheels roll obliquely from a...Ch. 8 - Prob. 93TECh. 8 - Prob. 94TECh. 8 - Why do radio waves diffract around buildings,...Ch. 8 - A nylon guitar string vibrates in a standing wave...Ch. 8 - What kind of waves exhibit interference?Ch. 8 - When the frequency of sound is doubled, what...Ch. 8 - A railroad locomotive is at rest with its whistle...Ch. 8 - Can the Doppler effect be observed with...Ch. 8 - Prob. 101TECh. 8 - Does the photoelectric effect prove that light is...Ch. 8 - In what sense can light be thought of as a...Ch. 8 - A friend says that wave speed is equal to the...Ch. 8 - Why is an echo weaker than the original sound?...Ch. 8 - Weve learned that sound interference is...Ch. 8 - In a physics study group, a friend says in a...Ch. 8 - In another study group, you say in a profound tone...Ch. 8 - Peter Hopkinson stands astride a large mirror and...Ch. 8 - Hold a pocket mirror almost at arms length from...Ch. 8 - Prob. 111TDICh. 8 - If you point the pinhole camera of Exercise 111 at...Ch. 8 - Prob. 113TDICh. 8 - Prob. 114TDICh. 8 - When Stephanie Hewitt dips a glass rod into...Ch. 8 - Which of these does NOT belong in the family of...Ch. 8 - The source of electromagnetic waves is vibrating...Ch. 8 - The visible light that shines on a pane of...Ch. 8 - The explanation for the refraction of the sound or...Ch. 8 - Prob. 5RATCh. 8 - A rough surface that doesnt reflect infrared waves...Ch. 8 - Rainbow exists because the light is a. reflected...Ch. 8 - The redness of the sunrise or sunset is due mostly...Ch. 8 - Wave interference occurs with a. transverse wave...Ch. 8 - Light has both a wave nature and a particle...
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