Physical Universe
Physical Universe
16th Edition
ISBN: 9780077862619
Author: KRAUSKOPF, Konrad B. (konrad Bates), Beiser, Arthur
Publisher: Mcgraw-hill Education,
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Chapter 19, Problem 31MC

The elements heavier than hydrogen and helium of which the planets are composed probably came from the

  1. a. sun
  2. b. debris of supernova explosions that occurred before the solar system came into being
  3. c. big bang
  4. d. big crunch
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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 19 Solutions

Physical Universe

Ch. 19 - Prob. 11MCCh. 19 - Prob. 12MCCh. 19 - Prob. 13MCCh. 19 - Prob. 14MCCh. 19 - Prob. 15MCCh. 19 - Prob. 16MCCh. 19 - Prob. 17MCCh. 19 - Prob. 18MCCh. 19 - Prob. 19MCCh. 19 - Prob. 20MCCh. 19 - Prob. 21MCCh. 19 - Prob. 22MCCh. 19 - Prob. 23MCCh. 19 - Prob. 24MCCh. 19 - Prob. 25MCCh. 19 - Current ideas suggest that what is responsible for...Ch. 19 - Prob. 27MCCh. 19 - Prob. 28MCCh. 19 - The expansion of the universe apparently a. has...Ch. 19 - Prob. 30MCCh. 19 - The elements heavier than hydrogen and helium of...Ch. 19 - Prob. 32MCCh. 19 - Prob. 33MCCh. 19 - Prob. 34MCCh. 19 - Prob. 35MCCh. 19 - Prob. 36MCCh. 19 - Prob. 37MCCh. 19 - Prob. 38MCCh. 19 - Prob. 39MCCh. 19 - Prob. 40MCCh. 19 - It is likely that the planets, satellites, and...Ch. 19 - Prob. 42MCCh. 19 - Prob. 43MCCh. 19 - Prob. 1ECh. 19 - Prob. 2ECh. 19 - Prob. 3ECh. 19 - The earth undergoes four major motions through...Ch. 19 - Prob. 5ECh. 19 - Prob. 6ECh. 19 - Prob. 7ECh. 19 - Prob. 8ECh. 19 - Prob. 9ECh. 19 - Prob. 10ECh. 19 - Prob. 11ECh. 19 - Prob. 12ECh. 19 - Prob. 13ECh. 19 - Prob. 14ECh. 19 - Prob. 15ECh. 19 - Prob. 16ECh. 19 - Prob. 17ECh. 19 - Prob. 18ECh. 19 - Prob. 19ECh. 19 - Prob. 20ECh. 19 - Prob. 21ECh. 19 - There is no day-night difference in cosmic-ray...Ch. 19 - Prob. 23ECh. 19 - Prob. 24ECh. 19 - Prob. 25ECh. 19 - Prob. 26ECh. 19 - Prob. 27ECh. 19 - Prob. 28ECh. 19 - Prob. 29ECh. 19 - Prob. 30ECh. 19 - What is the observational evidence in favor of the...Ch. 19 - Prob. 32ECh. 19 - Prob. 33ECh. 19 - To what event in the history of the universe can...Ch. 19 - Prob. 35ECh. 19 - Prob. 36ECh. 19 - Prob. 37ECh. 19 - Prob. 38ECh. 19 - Prob. 39ECh. 19 - Prob. 40ECh. 19 - Prob. 41ECh. 19 - Prob. 42ECh. 19 - Prob. 43ECh. 19 - Prob. 44ECh. 19 - Prob. 45E
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