College Physics
2nd Edition
ISBN: 9780134601823
Author: ETKINA, Eugenia, Planinšič, G. (gorazd), Van Heuvelen, Alan
Publisher: Pearson,
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Chapter 26, Problem 66GP
** Space travel A pilot and her spaceship have a mass of 400 kg. The pilot expects to live 50 more Earth years and wishes to travel to a star that requires 100 years to reach even if she were to travel at the
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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 26 Solutions
College Physics
Ch. 26 - Review Question 26.1 Why is the historical role of...Ch. 26 - Review Question 26.2 Alice is standing on the...Ch. 26 - Review Question 26.3 You hear in your physics...Ch. 26 - Review Question 26.4 You are on a train eating an...Ch. 26 - Prob. 5RQCh. 26 - Prob. 6RQCh. 26 - Prob. 7RQCh. 26 - Review Question 26.8 Why must the classical...Ch. 26 - Prob. 9RQCh. 26 - Prob. 10RQ
Ch. 26 - Prob. 11RQCh. 26 - Prob. 12RQCh. 26 - Prob. 1MCQCh. 26 - Multiple Choice Questions
2. On what did Michelson...Ch. 26 - Multiple Choice Questions Physicists explained the...Ch. 26 - Multiple Choice Questions
4. What is a proper time...Ch. 26 - Prob. 5MCQCh. 26 - Prob. 6MCQCh. 26 - Prob. 7MCQCh. 26 - Prob. 8MCQCh. 26 - Multiple Choice Questions
9. The measurement of...Ch. 26 - Prob. 10MCQCh. 26 - Prob. 11MCQCh. 26 - Multiple Choice Questions Which of the blue world...Ch. 26 - What is an inertial reference frame? How can you...Ch. 26 - 14. Give an example of a phenomenon that an...Ch. 26 - 15. Explain the difference between a proper...Ch. 26 - Prob. 16CQCh. 26 - What does it mean to say that the speed of...Ch. 26 - You move toward a star at a speed of 0.99c. At...Ch. 26 - 19. You pass Earth in a spaceship that moves at...Ch. 26 - It takes light approximately 1010 years to reach...Ch. 26 - Prob. 21CQCh. 26 - Name several ways in which your life would be...Ch. 26 - Prob. 23CQCh. 26 - The classical equation for calculating kinetic...Ch. 26 - How did the Doppler effect for light help...Ch. 26 - Prob. 26CQCh. 26 - Prob. 27CQCh. 26 - Prob. 1PCh. 26 - Prob. 2PCh. 26 - Prob. 3PCh. 26 - Prob. 4PCh. 26 - Prob. 5PCh. 26 - Prob. 6PCh. 26 - Prob. 7PCh. 26 - Prob. 8PCh. 26 - Prob. 9PCh. 26 - Prob. 10PCh. 26 - 26.3-26.6 Simultaneity, Time Dilation, Length...Ch. 26 - Prob. 12PCh. 26 - Prob. 13PCh. 26 - 26.3-26.6 Simultaneity, Time Dilation, Length...Ch. 26 - 26.3-26.6 Simultaneity, Time Dilation, Length...Ch. 26 - 26.3-26.6 Simultaneity, Time Dilation, Length...Ch. 26 - Prob. 17PCh. 26 - 26.3-26.6 Simultaneity, Time Dilation, Length...Ch. 26 - 26.3–26.6 Simultaneity, Time Dilation, Length...Ch. 26 - Prob. 20PCh. 26 - Prob. 21PCh. 26 - 26.3-26.6 Simultaneity, Time Dilation, Length...Ch. 26 - Prob. 23PCh. 26 - Prob. 26PCh. 26 - Prob. 27PCh. 26 - Prob. 28PCh. 26 - Prob. 30PCh. 26 - Prob. 31PCh. 26 - Prob. 32PCh. 26 - 26.9 Relativistic Energy
33. Determine the ratio...Ch. 26 - Prob. 34PCh. 26 - 26.9 Relativistic Energy * At what speed must an...Ch. 26 - Prob. 36PCh. 26 - Prob. 37PCh. 26 - Prob. 38PCh. 26 - Prob. 39PCh. 26 - Prob. 40PCh. 26 - Relativistic Energy * A particle originally moving...Ch. 26 - Prob. 42PCh. 26 - 26.9 Relativistic Energy
43. ** A particle of mass...Ch. 26 - Prob. 44PCh. 26 - Relativistic Energy * Mass equivalent of energy to...Ch. 26 - Prob. 46PCh. 26 - Prob. 47PCh. 26 - Prob. 48PCh. 26 - Prob. 49PCh. 26 - Relativistic Energy 109kg of mass to energy (b)...Ch. 26 - 26.10 Doppler Effect for EM Waves
52. Why no color...Ch. 26 - Prob. 53PCh. 26 - Prob. 54PCh. 26 - Prob. 55PCh. 26 - Prob. 56PCh. 26 - Prob. 57PCh. 26 - 58.* Boat trip A boat's speed is 10 m/s. It makes...Ch. 26 - * Space travel An explorer travels at speed...Ch. 26 - ** A pilot and his spaceship of rest mass 1000 kg...Ch. 26 - * Alice's friends Bob and Charlie are having a...Ch. 26 - Prob. 65GPCh. 26 - 66. ** Space travel A pilot and her spaceship have...Ch. 26 - Prob. 67GPCh. 26 - Prob. 68GPCh. 26 - Prob. 69RPPCh. 26 - Prob. 70RPPCh. 26 - Prob. 71RPPCh. 26 - Prob. 72RPPCh. 26 - Prob. 73RPPCh. 26 - Prob. 74RPPCh. 26 - Prob. 75RPPCh. 26 - Prob. 76RPPCh. 26 - Prob. 77RPPCh. 26 - Prob. 78RPPCh. 26 - Prob. 79RPPCh. 26 - Prob. 80RPP
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