Applied Physics (11th Edition)
11th Edition
ISBN: 9780134159386
Author: Dale Ewen, Neill Schurter, Erik Gundersen
Publisher: PEARSON
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Chapter D.4, Problem 67P
Find the value of each power and round each result to three significant digits.
67. 124
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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 D Solutions
Applied Physics (11th Edition)
Ch. D.4 - Do as indicated and round each result to three...Ch. D.4 - Do as indicated and round each result to three...Ch. D.4 - Do as indicated and round each result to three...Ch. D.4 - Do as indicated and round each result to three...Ch. D.4 - Do as indicated and round each result to three...Ch. D.4 - Do as indicated and round each result to three...Ch. D.4 - Do as indicated and round each result to three...Ch. D.4 - Do as indicated and round each result to three...Ch. D.4 - Do as indicated and round each result to three...Ch. D.4 - Prob. 10P
Ch. D.4 - Do as indicated and round each result to three...Ch. D.4 - Do as indicated and round each result to three...Ch. D.4 - Do as indicated and round each result to three...Ch. D.4 - Do as indicated and round each result to three...Ch. D.4 - Do as indicated and round each result to three...Ch. D.4 - Do as indicated and round each result to three...Ch. D.4 - Do as indicated and round each result to three...Ch. D.4 - Do as indicated and round each result to three...Ch. D.4 - Do as indicated and round each result to three...Ch. D.4 - Do as indicated and round each result to three...Ch. D.4 - Do as indicated and round each result to three...Ch. D.4 - Do as indicated and round each result to three...Ch. D.4 - Do as indicated and round each result to three...Ch. D.4 - Do as indicated and round each result to three...Ch. D.4 - Do as indicated and round each result to three...Ch. D.4 - Do as indicated and round each result to three...Ch. D.4 - Do as indicated and round each result to three...Ch. D.4 - Do as indicated and round each result to three...Ch. D.4 - Do as indicated and round each result to three...Ch. D.4 - Do as indicated and round each result to three...Ch. D.4 - Do as indicated and round each result to three...Ch. D.4 - Do as indicated and round each result to three...Ch. D.4 - Do as indicated and round each result to three...Ch. D.4 - Do as indicated and round each result to three...Ch. D.4 - Do as indicated and round each result to three...Ch. D.4 - Do as indicated and round each result to three...Ch. D.4 - Do as indicated and round each result to three...Ch. D.4 - Do as indicated and round each result to three...Ch. D.4 - Do as indicated and round each result to three...Ch. D.4 - Do as indicated and round each result to three...Ch. D.4 - Do as indicated and round each result to three...Ch. D.4 - Do as indicated and round each result to three...Ch. D.4 - Do as indicated and round each result to three...Ch. D.4 - Do as indicated and round each result to three...Ch. D.4 - Find each angle rounded to the nearest tenth of a...Ch. D.4 - Find each angle rounded to the nearest tenth of a...Ch. D.4 - Find each angle rounded to the nearest tenth of a...Ch. D.4 - Find each angle rounded to the nearest tenth of a...Ch. D.4 - Find each angle rounded to the nearest tenth of a...Ch. D.4 - Find each angle rounded to the nearest tenth of a...Ch. D.4 - Find each angle rounded to the nearest tenth of a...Ch. D.4 - Find each angle rounded to the nearest tenth of a...Ch. D.4 - Find each angle rounded to the nearest tenth of a...Ch. D.4 - Find each angle rounded to the nearest tenth of a...Ch. D.4 - Find each angle rounded to the nearest tenth of a...Ch. D.4 - Find each angle rounded to the nearest tenth of a...Ch. D.4 - Find the angle to the nearest tenth of a degree...Ch. D.4 - Find each angle to the nearest tenth of a degree...Ch. D.4 - Find each angle to the nearest tenth of a degree...Ch. D.4 - Find each angle to the nearest tenth of a degree...Ch. D.4 - Find each angle to the nearest tenth of a degree...Ch. D.4 - Find each angle to the nearest tenth of a degree...Ch. D.4 - Find each angle to the nearest tenth of a degree...Ch. D.4 - Find each angle to the nearest tenth of a degree...Ch. D.4 - Find each angle to the nearest tenth of a degree...Ch. D.4 - Find each angle to the nearest tenth of a degree...Ch. D.4 - Find the value of each power and round each result...Ch. D.4 - Find the value of each power and round each result...Ch. D.4 - Find the value of each power and round each result...Ch. D.4 - Find the value of each power and round each result...Ch. D.4 - Find the value of each power and round each result...Ch. D.4 - Find the value of each power and round each result...
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