EBK THE COSMIC PERSPECTIVE
EBK THE COSMIC PERSPECTIVE
9th Edition
ISBN: 9780135161753
Author: Voit
Publisher: VST
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Chapter 1, Problem 50EAP

Driving Trips. Imagine that you could drive your car at a constant speed of 100 km/hr (62 mi/hr), even across oceans and in space. (In reality, the law of gravity would make driving through space at a constant speed all but impossible.) How long would it take to drive

a. around Earth’s equator? b. from the Sun to Earth?

c. from the Sun to Pluto? d. to Alpha Centauri?

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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 1 Solutions

EBK THE COSMIC PERSPECTIVE

Ch. 1 - In what sense are we “star stuff”?Ch. 1 - Use the cosmic calendar to describe how the human...Ch. 1 - Briefly explain Earth’s daily rotation and annual...Ch. 1 - Briefly describe our solar system’s location and...Ch. 1 - Prob. 11EAPCh. 1 - Prob. 12EAPCh. 1 - Prob. 13EAPCh. 1 - Does it Make Sense? Decide whether the statement...Ch. 1 - Prob. 15EAPCh. 1 - Prob. 16EAPCh. 1 - Prob. 17EAPCh. 1 - Prob. 18EAPCh. 1 - Prob. 19EAPCh. 1 - Prob. 20EAPCh. 1 - Prob. 21EAPCh. 1 - Prob. 22EAPCh. 1 - Which of the following correctly lists our ‘cosmic...Ch. 1 - An astronomical unit is (a) any planet’s average...Ch. 1 - The star Betelgeuse is about 600 light-years away....Ch. 1 - Prob. 26EAPCh. 1 - The total number of stars in the observable...Ch. 1 - Prob. 28EAPCh. 1 - Prob. 29EAPCh. 1 - Prob. 30EAPCh. 1 - Prob. 31EAPCh. 1 - Prob. 32EAPCh. 1 - Prob. 34EAPCh. 1 - Thinking About Scale. One key to success in...Ch. 1 - Prob. 36EAPCh. 1 - A Human Adventure. Astronomical discoveries...Ch. 1 - Prob. 38EAPCh. 1 - Prob. 39EAPCh. 1 - Prob. 40EAPCh. 1 - Prob. 41EAPCh. 1 - Prob. 42EAPCh. 1 - Prob. 43EAPCh. 1 - Prob. 44EAPCh. 1 - Prob. 45EAPCh. 1 - Spacecraft Communication. We use radio waves,...Ch. 1 - Prob. 47EAPCh. 1 - Prob. 48EAPCh. 1 - Prob. 49EAPCh. 1 - Driving Trips. Imagine that you could drive your...Ch. 1 - Faster Trip. Suppose you wanted to reach Alpha...Ch. 1 - Prob. 52EAPCh. 1 - Earth Rotation Speed. Mathematical Insight 1.3...Ch. 1 - Order of Magnitude Estimate. Mathematical Insight...
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