
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 13, Problem 27P
To determine
The time required for the sound wave before it hears an echo.
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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 13 Solutions
Principles of Physics: A Calculus-Based Text
Ch. 13.1 - (i) In a long line of people waiting to buy...Ch. 13.2 - Prob. 13.2QQCh. 13.2 - The amplitude of a wave is doubled, with no other...Ch. 13.3 - Suppose you create a pulse by moving the free end...Ch. 13.5 - Prob. 13.5QQCh. 13.7 - Consider detectors of water waves at three...Ch. 13.7 - Prob. 13.7QQCh. 13 - Prob. 1OQCh. 13 - Prob. 2OQCh. 13 - Rank the waves represented by the following...
Ch. 13 - Prob. 4OQCh. 13 - When all the strings on a guitar (Fig. OQ13.5) are...Ch. 13 - By what factor would you have to multiply the...Ch. 13 - A sound wave can be characterized as (a) a...Ch. 13 - Prob. 8OQCh. 13 - Prob. 9OQCh. 13 - A source vibrating at constant frequency generates...Ch. 13 - A source of sound vibrates with constant...Ch. 13 - Prob. 12OQCh. 13 - Prob. 13OQCh. 13 - Prob. 14OQCh. 13 - As you travel down the highway in your car, an...Ch. 13 - Prob. 16OQCh. 13 - Suppose an observer and a source of sound are both...Ch. 13 - Prob. 1CQCh. 13 - Prob. 2CQCh. 13 - Prob. 3CQCh. 13 - Prob. 4CQCh. 13 - When a pulse travels on a taut string, does it...Ch. 13 - Prob. 6CQCh. 13 - Prob. 7CQCh. 13 - Prob. 8CQCh. 13 - Prob. 9CQCh. 13 - Prob. 10CQCh. 13 - Prob. 11CQCh. 13 - How can an object move with respect to an observer...Ch. 13 - Prob. 13CQCh. 13 - Prob. 1PCh. 13 - Prob. 2PCh. 13 - Prob. 3PCh. 13 - Prob. 4PCh. 13 - The string shown in Figure P13.5 is driven at a...Ch. 13 - Prob. 6PCh. 13 - Prob. 7PCh. 13 - Prob. 8PCh. 13 - Prob. 9PCh. 13 - A transverse wave on a string is described by the...Ch. 13 - Prob. 11PCh. 13 - Prob. 12PCh. 13 - Prob. 13PCh. 13 - A transverse sinusoidal wave on a string has a...Ch. 13 - A steel wire of length 30.0 m and a copper wire of...Ch. 13 - Prob. 16PCh. 13 - Prob. 17PCh. 13 - Review. A light string with a mass per unit length...Ch. 13 - Prob. 19PCh. 13 - Prob. 20PCh. 13 - A series of pulses, each of amplitude 0.150 m, are...Ch. 13 - Prob. 22PCh. 13 - Prob. 23PCh. 13 - A taut rope has a mass of 0.180 kg and a length of...Ch. 13 - Prob. 25PCh. 13 - Prob. 26PCh. 13 - Prob. 27PCh. 13 - Prob. 28PCh. 13 - Prob. 29PCh. 13 - Prob. 30PCh. 13 - Write an expression that describes the pressure...Ch. 13 - Prob. 32PCh. 13 - Prob. 33PCh. 13 - Prob. 34PCh. 13 - Prob. 35PCh. 13 - Prob. 36PCh. 13 - A sound wave in air has a pressure amplitude equal...Ch. 13 - A rescue plane flies horizontally at a constant...Ch. 13 - A driver travels northbound on a highway at a...Ch. 13 - Prob. 40PCh. 13 - Prob. 41PCh. 13 - Prob. 42PCh. 13 - Prob. 43PCh. 13 - Prob. 44PCh. 13 - Review. A tuning fork vibrating at 512 Hz falls...Ch. 13 - Submarine A travels horizontally at 11.0 m/s...Ch. 13 - Prob. 47PCh. 13 - Prob. 48PCh. 13 - Prob. 49PCh. 13 - Review. A block of mass M, supported by a string,...Ch. 13 - Prob. 51PCh. 13 - Review. A block of mass M hangs from a rubber...Ch. 13 - Prob. 53PCh. 13 - The wave is a particular type of pulse that can...Ch. 13 - Prob. 55PCh. 13 - Prob. 56PCh. 13 - Prob. 57PCh. 13 - Prob. 58PCh. 13 - Prob. 59PCh. 13 - Prob. 60PCh. 13 - Prob. 61PCh. 13 - Prob. 62PCh. 13 - Prob. 63PCh. 13 - Prob. 64PCh. 13 - Prob. 65PCh. 13 - Prob. 66PCh. 13 - Prob. 67PCh. 13 - A sound wave moves down a cylinder as in Active...Ch. 13 - A string on a musical instrument is held under...Ch. 13 - A train whistle (f = 400 Hz) sounds higher or...Ch. 13 - The Doppler equation presented in the text is...
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