Modified Mastering Astronomy with Pearson eText -- Combo Access Card -- for Essential Cosmic Perspective-- 18 months
Modified Mastering Astronomy with Pearson eText -- Combo Access Card -- for Essential Cosmic Perspective-- 18 months
9th Edition
ISBN: 9780137343102
Author: Bennett, Jeffrey, Donahue, Megan, SCHNEIDER, Nicholas, Voit, Mark
Publisher: PEARSON
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Chapter 10, Problem 48EAP
To determine

The planets average distance from the star using Kepler’s third law.

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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 10 Solutions

Modified Mastering Astronomy with Pearson eText -- Combo Access Card -- for Essential Cosmic Perspective-- 18 months

Ch. 10 - Prob. 6EAPCh. 10 - Prob. 7EAPCh. 10 - Prob. 8EAPCh. 10 - Prob. 9EAPCh. 10 - Prob. 10EAPCh. 10 - Prob. 11EAPCh. 10 - Prob. 12EAPCh. 10 - Prob. 13EAPCh. 10 - Prob. 14EAPCh. 10 - Prob. 15EAPCh. 10 - Prob. 16EAPCh. 10 - Prob. 17EAPCh. 10 - Prob. 18EAPCh. 10 - Prob. 19EAPCh. 10 - Prob. 20EAPCh. 10 - Prob. 21EAPCh. 10 - Prob. 22EAPCh. 10 - Prob. 23EAPCh. 10 - It’s the year 2025: The TESS mission has announced...Ch. 10 - Prob. 25EAPCh. 10 - Prob. 26EAPCh. 10 - 27. Which method co uld detect a planet in an...Ch. 10 - Which detection method(s) measure(s) gravitational...Ch. 10 - 29. Which one of the following can the transit...Ch. 10 - 30. To determine a planet's average density, we...Ch. 10 - 31. Based on the model types shown in Figure 10.12...Ch. 10 - Look at the dot for Jupiter in Figure 10.13, then...Ch. 10 - 33. The term "super-Earth" refers to a planet that...Ch. 10 - 34. What's the best explanation for the location...Ch. 10 - 35. Based on computer models, when is planei ary...Ch. 10 - Prob. 36EAPCh. 10 - When Is a Theory Wrong? As discussed in this cha...Ch. 10 - Unanswe,erd Questions. As discussed in this...Ch. 10 - Unanswered Questions. As discussed in this...Ch. 10 - Group Activity: Time to Move On. A common theme in...Ch. 10 - 40. Explaining the Doppler Method. Explain how the...Ch. 10 - Prob. 42EAPCh. 10 - 42. No Hot Jupiters Here. How do we think hot...Ch. 10 - 43. Low-Density Planets. Only one planet in our...Ch. 10 - Prob. 46EAPCh. 10 - Transit of TrES-1. The planet TrES-1, orbiting a...Ch. 10 - 47. Planet Around 51 Pegasi. The star 51 Pegasi...
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