College Physics: A Strategic Approach (3rd Edition)
3rd Edition
ISBN: 9780321879721
Author: Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher: PEARSON
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Textbook Question
Chapter 15, Problem 1P
The wave speed on a string under tension is 200 m/s. What is the speed if the tension is doubled?
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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 \((-180^{\circ},180^{\circ}]\).
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Chapter 15 Solutions
College Physics: A Strategic Approach (3rd Edition)
Ch. 15 - a. In your own words, define what a transverse...Ch. 15 - a. In your own words, define what a longitudinal...Ch. 15 - Is it ever possible for one sound wave in air to...Ch. 15 - A wave pulse travels along a string at a speed of...Ch. 15 - Harbor seals, like many animals, determine the...Ch. 15 - A thermostat on the wall of your house keeps track...Ch. 15 - When water freezes, the density decreases and the...Ch. 15 - Figure Q15.9 Q shows a history graph of the motion...Ch. 15 - Figure Q15.10 Q shows a history graph and a...Ch. 15 - Prob. 11CQ
Ch. 15 - Bottlenose dolphins use echolocation pulses with a...Ch. 15 - Some bat species have auditory systems that work...Ch. 15 - Prob. 14CQCh. 15 - When you want to snap a towel, the best way to...Ch. 15 - The volume control on a stereo is designed so that...Ch. 15 - A bullet can travel at a speed of over 1000 m/s....Ch. 15 - Prob. 19CQCh. 15 - Denver, Colorado, has an oldies station that calls...Ch. 15 - What is the frequency of blue light with a...Ch. 15 - Ultrasound can be used to deliver energy to...Ch. 15 - A sinusoidal wave traveling on a string has a...Ch. 15 - Two strings of different linear density are joined...Ch. 15 - You stand at x = 0 m, listening to a sound that is...Ch. 15 - The wave speed on a string under tension is 200...Ch. 15 - The wave speed on a string is 150 m/s when the...Ch. 15 - The back wall of an auditorium is 26.0 m from the...Ch. 15 - A hammer taps on the end of a 4.00-m-long metal...Ch. 15 - In an early test of sound propagation through the...Ch. 15 - Prob. 6PCh. 15 - An earthquake 45 km from a city produces P and S...Ch. 15 - A stationary boat in the ocean is experiencing...Ch. 15 - Figure P15.9 Q is a snapshot graph of a wave at t...Ch. 15 - Figure P15.10Q is a snapshot graph of a wave at t...Ch. 15 - Figure P15.11 is a history graph at x = 0 m of a...Ch. 15 - A sinusoidal wave has period 0.20 s and wavelength...Ch. 15 - A sinusoidal wave travels with speed 200 m/s. Its...Ch. 15 - The motion detector used in a physics lab sends...Ch. 15 - The displacement of a wave traveling in the...Ch. 15 - A traveling wave has displacement given by y(x, t)...Ch. 15 - Figure P15.18 is a snapshot graph of a wave at t =...Ch. 15 - Figure P15.19 is a history graph at x = 0 m of a...Ch. 15 - A boat is traveling at 4.0 m/s in the same...Ch. 15 - In the deep ocean, a water wave with wavelength 95...Ch. 15 - People with very good pitch discrimination can...Ch. 15 - A dolphin emits ultrasound at 100 kHz and uses the...Ch. 15 - a. What is the wavelength of a 2.0 MHz ultrasound...Ch. 15 - Prob. 25PCh. 15 - Prob. 26PCh. 15 - Prob. 27PCh. 15 - Prob. 28PCh. 15 - Sound is detected when a sound wave causes the...Ch. 15 - At a rock concert, the sound intensity 1.0 m in...Ch. 15 - Prob. 31PCh. 15 - Prob. 32PCh. 15 - A large solar panel on a spacecraft in Earth orbit...Ch. 15 - Prob. 34PCh. 15 - LASIK eye surgery uses pulses of laser light to...Ch. 15 - At noon on a sunny day, the intensity of sunlight...Ch. 15 - Prob. 37PCh. 15 - What is the sound intensity level of a sound with...Ch. 15 - What is the sound intensity of a whisper at a...Ch. 15 - You hear a sound at 65 dB. What is the sound...Ch. 15 - The sound intensity from a jack hammer breaking...Ch. 15 - A concert loudspeaker suspended high off the...Ch. 15 - A rock band playing an outdoor concert produces...Ch. 15 - Your ears are sensitive to differences in pitch,...Ch. 15 - 30 seconds of exposure to 115 dB sound can damage...Ch. 15 - A woman wearing an in-ear hearing aid listens to a...Ch. 15 - An opera singer in a convertible sings a note at...Ch. 15 - An ospreys call is a distinct whistle at 2200 Hz....Ch. 15 - A whistle you use to call your hunting dog has a...Ch. 15 - An echocardiogram uses 4.4 MHz ultrasound to...Ch. 15 - Prob. 51PCh. 15 - While anchored in the middle of a lake, you count...Ch. 15 - A Doppler blood flow unit emits ultrasound at 5.0...Ch. 15 - A train whistle is heard at 300 Hz as the train...Ch. 15 - Oil explorers set off explosives to make loud...Ch. 15 - A 2.0-m-long string is under 20 N of tension. A...Ch. 15 - A female orb spider has a mass of 0.50 g. She is...Ch. 15 - A spider spins a web with silk threads of density...Ch. 15 - In 2003, an earthquake in Japan generated 1.1 Hz...Ch. 15 - Prob. 60GPCh. 15 - An earthquake produces longitudinal P waves that...Ch. 15 - Figure P15.62 Q shows two snapshot graphs taken 10...Ch. 15 - Low-frequency vertical oscillations are one...Ch. 15 - A wave on a string is described by y(x, t) = (3.0...Ch. 15 - Write the y-equation for a wave traveling in the...Ch. 15 - Write the y-equation for a wave traveling in the...Ch. 15 - A wave is described by the expression y(x, t) =...Ch. 15 - A point on a string undergoes simple harmonic...Ch. 15 - a. A typical 100 W lightbulb produces 4.0 W of...Ch. 15 - Prob. 70GPCh. 15 - A dark blue cylindrical bottle is 22 cm high and...Ch. 15 - Assume that the opening of the ear canal has a...Ch. 15 - The sound intensity 50 m from a wailing tornado...Ch. 15 - One of the loudest sound generators ever created...Ch. 15 - A harvest mouse can detect sounds below the...Ch. 15 - Prob. 76GPCh. 15 - A physics professor demonstrates the Doppler...Ch. 15 - When the heart pumps blood into the aorta, the...Ch. 15 - Although we cant hear them, the ultrasonic pulses...Ch. 15 - Bats are sensitive to very small changes in...Ch. 15 - Some bats have specially shaped noses that focus...Ch. 15 - Some bats utilize a sound pulse with a rapidly...
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