Pearson eText Life in the Universe -- Instant Access (Pearson+)

4th Edition

ISBN: 9780135234457

Author: Jeffrey Bennett, Seth Shostak

Publisher: PEARSON+

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Chapter 6, Problem 30TYU

We discover an asteroid about 300 meters across that is on a collision course with Earth.

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Chapter 6, Problem 29TYU

Chapter 6, Problem 31TYU

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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 \((-180^{\circ},180^{\circ}]\).

Chapter 6 Solutions

Pearson eText Life in the Universe -- Instant Access (Pearson+)

Ch. 6 - What are the three lines of fossil evidence that...Ch. 6 - How do studies of DNA sequences allow us to...Ch. 6 - Based on current evidence, what locations on Earth...Ch. 6 - What was the MillerUrey experiment, and how did it...Ch. 6 - What do we mean by an RNA world, and why do...Ch. 6 - Briefly summarize current ideas about the sequence...Ch. 6 - Briefly discuss the possibility that life migrated...Ch. 6 - Why do we think that evolution would have...Ch. 6 - Briefly discuss the early evolution of life, from...Ch. 6 - How do we think that eukaryotes evolved? What time...

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