5th Edition

ISBN: 9780134051802

Author: Walker

Publisher: PEARSON

Concept explainers

Simple harmonic motion is a type of periodic motion in which an object undergoes oscillatory motion. The restoring force exerted by the object exhibiting SHM is proportional to the displacement from the equilibrium position. The force is directed towards…

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A simple pendulum comprises a heavy mass (called bob) attached to one end of the weightless and flexible string.

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In Physics, oscillation means a repetitive motion that happens in a variation with respect to time. There is usually a central value, where the object would be at rest. Additionally, there are two or more positions between which the repetitive motion tak…

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Textbook Question

Chapter 14, Problem 17PCE

A 4.5-m-long rope of mass 1.8 kg hangs from a ceiling. (a) What is the tension in the rope at the bottom end? (b) What is the wave speed in the rope at the bottom end? (c) What is the tension in the rope at the top end, where it is attached to the ceiling? (d) What is the wave speed in the rope at the top end? (e) It can be shown that the average wave speed in the rope is 1 2 g L , where L is the length of the rope. Use the average wave speed to calculate the time required for a pulse produced at the bottom of the rope to travel to the top.

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Chapter 14, Problem 16PCE

Chapter 14, Problem 18PCE

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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 14 Solutions

Physics (5th Edition)

Ch. 14.1 - Rank the following systems in order of increasing...Ch. 14.2 - Suppose the tension in a string is doubled, its...Ch. 14.3 - A particular harmonic wave is described by the...Ch. 14.4 - Which is faster: wave 1 in medium 1 with a...Ch. 14.5 - Enhance Your Understanding (Answers given at the...Ch. 14.6 - Observer 1 approaches a stationary 1000-Hz source...Ch. 14.7 - Prob. 7EYU Ch. 14.8 - When a string oscillates with the standing wave...Ch. 14.9 - Rank the following systems in order of increasing...Ch. 14 - A long nail has been driven halfway into the side...

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