Astronomy
1st Edition
ISBN: 9781938168284
Author: Andrew Fraknoi; David Morrison; Sidney C. Wolff
Publisher: OpenStax
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Chapter 12, Problem 7E
How are Triton and Pluto similar?
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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 \((-180^{\circ},180^{\circ}]\).
What are the expected readings of the ammeter and voltmeter for the circuit in the figure below? (R = 5.60 Ω, ΔV = 6.30 V)
ammeter
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simple diagram to illustrate the setup for each law- coulombs law and biot savart law
Chapter 12 Solutions
Astronomy
Ch. 12 - What are the moons of the outer planets made of,...Ch. 12 - Compare the geology of Callisto, Ganymede, and...Ch. 12 - What is the evidence for a liquid water ocean on...Ch. 12 - Explain the energy source that powers the...Ch. 12 - Compare the properties of Titan’s atmosphere with...Ch. 12 - How was Pluto discovered? Why did it take so long...Ch. 12 - How are Triton and Pluto similar?Ch. 12 - Describe and compare the rings of Saturn and...Ch. 12 - Why were the rings of Uranus not observed directly...Ch. 12 - List at least three major differences between...
Ch. 12 - The Hubble Space Telescope images of Pluto in 2002...Ch. 12 - Saturn’s E ring is broad and thin, and far from...Ch. 12 - Why do you think the outer planets have such...Ch. 12 - Ganymede and Callisto were the first icy objects...Ch. 12 - Compare the properties of the volcanoes on Io with...Ch. 12 - Would you expect to find more impact craters on Io...Ch. 12 - Why is it unlikely that humans will be traveling...Ch. 12 - Why do you suppose the rings of Saturn are made of...Ch. 12 - Suppose you miraculously removed all of Saturn’s...Ch. 12 - We have a lot of good images of the large moons of...Ch. 12 - In the Star Wars movie Star Wars Episode VI:...Ch. 12 - Which would have the longer orbital period: a moon...Ch. 12 - How close to Uranus would a spacecraft have to get...Ch. 12 - Saturn’s A, B, and C Rings extend 75,000 to...Ch. 12 - Use the information in Appendix G to calculate...Ch. 12 - The average distance of Enceladus from Saturn is...
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