
Foundations of Astronomy (MindTap Course List)
14th Edition
ISBN: 9781337399920
Author: Michael A. Seeds, Dana Backman
Publisher: Cengage Learning
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Textbook Question
Chapter 22, Problem 35RQ
What is understood to be the cause of ripples in ring systems?
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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 22 Solutions
Foundations of Astronomy (MindTap Course List)
Ch. 22 - Describe four differences between the Jovian...Ch. 22 - Why is Jupiter more oblate than Earth? Just...Ch. 22 - Which molecules and atoms are Jupiter and Saturn...Ch. 22 - What determines which cloud layers are found at...Ch. 22 - Describe a hypothesis explaining why Jupiter emits...Ch. 22 - How does beltzone circulation transport energyby...Ch. 22 - Why are belts and zones wrapped entirely around...Ch. 22 - What ingredients are needed to power a dynamo...Ch. 22 - Why are magnetic phenomena such as extensive...Ch. 22 - How do the interiors of Jupiter and Saturn differ?...
Ch. 22 - Which planet formation step did the Jovian planets...Ch. 22 - Why is Jupiters moon lo called a regular...Ch. 22 - Why is Saturns moon Phoebe called an irregular...Ch. 22 - If Jupiter had a satellite the size of our own...Ch. 22 - The density of Earths Moon is 3.3 g/cm3. Which of...Ch. 22 - Ganymede was once completely molten on the inside....Ch. 22 - Describe evidence of tectonic features seen on...Ch. 22 - Why are no craters seen on lo and few seen on...Ch. 22 - Why should you expect lo to suffer more impacts...Ch. 22 - How can you be certain that Jupiters rings do not...Ch. 22 - Why are the belts and zones in the atmosphere of...Ch. 22 - Describe the composition of Saturn from its center...Ch. 22 - If Saturn had no moons, do you think it would have...Ch. 22 - How can Titan keep an atmosphere when Titan is...Ch. 22 - What should the interior composition of Titan be...Ch. 22 - If you were able to stand on the surface of Titan...Ch. 22 - Does Titan experience volcanism today? Impact...Ch. 22 - Describe the types of geological activity observed...Ch. 22 - More Jovian moons are geologically active than...Ch. 22 - Prob. 30RQCh. 22 - If you piloted a spacecraft to visit Saturns moons...Ch. 22 - The ring systems around Jupiter and Saturn lie...Ch. 22 - Saturns rings are primordial, meaning that they...Ch. 22 - What is understood to be the cause of gaps in ring...Ch. 22 - What is understood to be the cause of ripples in...Ch. 22 - Why would you expect research in archaeology to be...Ch. 22 - What is the angular diameter of Jupiter as seen...Ch. 22 - Prob. 2PCh. 22 - What is the angular diameter of Jupiter as seen...Ch. 22 - What is the escape velocity from the surface of...Ch. 22 - Calculate the mass of Callisto using a value for...Ch. 22 - Prob. 6PCh. 22 - Calculate the radius of Jupiters Roche limit for a...Ch. 22 - How long does the eastward wind at the equator of...Ch. 22 - What is the orbital velocity and period of a ring...Ch. 22 - If you were to record the spectrum of Saturn as...Ch. 22 - Prob. 11PCh. 22 - Jupiter is about 71,000 km in radius. The...Ch. 22 - Saturn is about 60,000 km in radius, and its rings...Ch. 22 - Look at Figure 22-4b. Compare the visual and UV...Ch. 22 - Prob. 2LTLCh. 22 - Prob. 3LTLCh. 22 - The Cassini spacecraft recorded the image shown...
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