Physics (5th Edition)
5th Edition
ISBN: 9780321976444
Author: James S. Walker
Publisher: PEARSON
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Chapter 32, Problem 30PCE
A radioactive sample is placed in a closed container. Two days later only one-quarter of the sample is still radioactive. What is the half-life of this sample?
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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 32 Solutions
Physics (5th Edition)
Ch. 32.1 - Prob. 1EYUCh. 32.2 - A given nucleus can decay by alpha decay, beta...Ch. 32.3 - Prob. 3EYUCh. 32.4 - Prob. 4EYUCh. 32.5 - Prob. 5EYUCh. 32.6 - Prob. 6EYUCh. 32.7 - Prob. 7EYUCh. 32.8 - Prob. 8EYUCh. 32.9 - Prob. 9EYUCh. 32 - Prob. 1CQ
Ch. 32 - Prob. 2CQCh. 32 - Prob. 3CQCh. 32 - Prob. 4CQCh. 32 - Prob. 5CQCh. 32 - Prob. 6CQCh. 32 - Prob. 7CQCh. 32 - Prob. 8CQCh. 32 - Prob. 9CQCh. 32 - Prob. 1PCECh. 32 - Prob. 2PCECh. 32 - Prob. 3PCECh. 32 - Prob. 4PCECh. 32 - Prob. 5PCECh. 32 - Prob. 6PCECh. 32 - Prob. 7PCECh. 32 - Prob. 8PCECh. 32 - Prob. 9PCECh. 32 - Prob. 10PCECh. 32 - Prob. 11PCECh. 32 - Prob. 12PCECh. 32 - Prob. 13PCECh. 32 - Prob. 14PCECh. 32 - Prob. 15PCECh. 32 - Prob. 16PCECh. 32 - Prob. 17PCECh. 32 - Prob. 18PCECh. 32 - Prob. 19PCECh. 32 - Prob. 20PCECh. 32 - Prob. 21PCECh. 32 - Prob. 22PCECh. 32 - Prob. 23PCECh. 32 - Prob. 24PCECh. 32 - Prob. 25PCECh. 32 - Prob. 26PCECh. 32 - Prob. 27PCECh. 32 - Prob. 28PCECh. 32 - Suppose we were to discover that the ratio of...Ch. 32 - A radioactive sample is placed in a closed...Ch. 32 - Radon gas has a half-life of 3.82 d. What is the...Ch. 32 - Prob. 32PCECh. 32 - The number of radioactive nuclei in a particular...Ch. 32 - Prob. 34PCECh. 32 - Prob. 35PCECh. 32 - Prob. 36PCECh. 32 - Prob. 37PCECh. 32 - Prob. 38PCECh. 32 - Prob. 39PCECh. 32 - Prob. 40PCECh. 32 - Prob. 41PCECh. 32 - Prob. 42PCECh. 32 - Prob. 43PCECh. 32 - Prob. 44PCECh. 32 - Prob. 45PCECh. 32 - Prob. 46PCECh. 32 - Prob. 47PCECh. 32 - Prob. 48PCECh. 32 - Prob. 49PCECh. 32 - Prob. 50PCECh. 32 - Prob. 51PCECh. 32 - Prob. 52PCECh. 32 - Prob. 53PCECh. 32 - Prob. 54PCECh. 32 - Prob. 55PCECh. 32 - Consider a fusion reaction in which two deuterium...Ch. 32 - Prob. 57PCECh. 32 - Prob. 58PCECh. 32 - Prob. 59PCECh. 32 - Prob. 60PCECh. 32 - Prob. 61PCECh. 32 - Prob. 62PCECh. 32 - Prob. 63PCECh. 32 - Prob. 64PCECh. 32 - Prob. 65PCECh. 32 - Prob. 66PCECh. 32 - Prob. 67PCECh. 32 - Prob. 68GPCh. 32 - Prob. 69GPCh. 32 - Prob. 70GPCh. 32 - Prob. 71GPCh. 32 - Prob. 72GPCh. 32 - Prob. 73GPCh. 32 - Moon Rocks In one of the rocks brought back from...Ch. 32 - Prob. 75GPCh. 32 - Prob. 76GPCh. 32 - Prob. 77GPCh. 32 - Prob. 78GPCh. 32 - Prob. 79GPCh. 32 - Prob. 80GPCh. 32 - Prob. 81GPCh. 32 - Prob. 82GPCh. 32 - Prob. 83GPCh. 32 - Prob. 84GPCh. 32 - Prob. 85GPCh. 32 - Prob. 86GPCh. 32 - Prob. 87GPCh. 32 - Prob. 88GPCh. 32 - Prob. 89PPCh. 32 - Prob. 90PPCh. 32 - Prob. 91PP
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