College Physics: Explore And Apply, Volume 2 (2nd Edition)
2nd Edition
ISBN: 9780134862910
Author: Eugenia Etkina, Gorazd Planinsic, Alan Van Heuvelen, Gorzad Planinsic
Publisher: PEARSON
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Chapter 14, Problem 35P
* A piston pushes
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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 14 Solutions
College Physics: Explore And Apply, Volume 2 (2nd Edition)
Ch. 14 - Prob. 1RQCh. 14 - Prob. 2RQCh. 14 - Prob. 3RQCh. 14 - Prob. 4RQCh. 14 - Prob. 5RQCh. 14 - Review Question 14.6 Describe some of the...Ch. 14 - Review Question 14.7 When a skydiver falls at...Ch. 14 - Prob. 1MCQCh. 14 - A river flows downstream and widens, and the flow...Ch. 14 - Prob. 3MCQ
Ch. 14 - Prob. 4MCQCh. 14 - 5. As a river approaches a dam, the width of the...Ch. 14 - Prob. 6MCQCh. 14 - What is viscous flow? a. A physical phenomenon b....Ch. 14 - 8. The heart does about 1 J of work pumping blood...Ch. 14 - Several air bubbles are present in water flowing...Ch. 14 - A small metal ball is released from just below the...Ch. 14 - 11. A small metal ball is launched downward from...Ch. 14 - You have two identical large jugs with small holes...Ch. 14 - 13. Why does much of the pressure drop in the...Ch. 14 - If you partly close the end of a hose with your...Ch. 14 - Compare and contrast work-energy bar charts, which...Ch. 14 - Consider Bernoulli's equation, Poiseuille's law,...Ch. 14 - You need a liquid that will exhibit turbulent flow...Ch. 14 - Watering plants You water flowers outside your...Ch. 14 - 2. Irrigation canal You live neat an irrigation...Ch. 14 - Prob. 3PCh. 14 - 4. The main waterline for a neighborhood delivers...Ch. 14 - Prob. 5PCh. 14 - Prob. 6PCh. 14 - Represent the process sketched in Figure P14.7...Ch. 14 - * Represent the process sketched in Figure P14.8...Ch. 14 - 9. Fluid flow Problem Write a symbolic equation...Ch. 14 - Prob. 10PCh. 14 - Prob. 11PCh. 14 - Prob. 12PCh. 14 - 13. An application of Bernoulli’s equation is...Ch. 14 - Prob. 14PCh. 14 - Prob. 15PCh. 14 - * Wine flow from barrel While visiting a winery,...Ch. 14 - Water flow in city water system Water is pumped at...Ch. 14 - * The pressure of water flowing through a...Ch. 14 - * Siphoning water You want to siphon rainwater and...Ch. 14 - Prob. 20PCh. 14 - * BIO Blood flow In artery Blood flows at an...Ch. 14 - Prob. 22PCh. 14 - Prob. 23PCh. 14 - 24. * BIO Flutter in blood vessel A person has a ...Ch. 14 - 25. * BIO Effect of smoking on arteriole radius...Ch. 14 - Prob. 26PCh. 14 - 27. * You have a U-shaped tube open at both ends....Ch. 14 - Prob. 28PCh. 14 - Prob. 29PCh. 14 - Prob. 30PCh. 14 - Prob. 31PCh. 14 - Prob. 32PCh. 14 - 33. * BIO Blood flow through capillaries Your...Ch. 14 - Prob. 34PCh. 14 - * A piston pushes 20C water through a horizontal...Ch. 14 - Prob. 36PCh. 14 - * A syringe is filled with water and fixed at the...Ch. 14 - Prob. 38PCh. 14 - 39. * EST Air drag when biking Estimate the drag...Ch. 14 - Prob. 41PCh. 14 - * EST Earth exerts a constant downward force of...Ch. 14 - Prob. 43PCh. 14 - *Terminal speed of balloon A balloon of mass m...Ch. 14 - You observe four different liquids (listed with...Ch. 14 - Prob. 48GPCh. 14 - 50. ** Viscous friction with Bernoulli We can...Ch. 14 - 51. ** (a) Show that the work W done per unit time...Ch. 14 - Prob. 52GPCh. 14 - 53. ** BIO Essential hypertension Suppose your...Ch. 14 - Prob. 54GPCh. 14 - A 0.20-m-radius balloon falls at terminal speed 40...Ch. 14 - 56. ** Terminal speed of skier A skier going down...Ch. 14 - kg/m3 is placed in a 20C lake Determine the...Ch. 14 - 58. ** EST Comet crash On June 30, 1908, a...Ch. 14 - EST Intravenous (IV) feeding A patient in the...Ch. 14 - EST Intravenous (IV) feeding A patient in the...Ch. 14 - EST Intravenous (IV) feeding A patient in the...Ch. 14 - EST Intravenous (IV) feeding A patient in the...Ch. 14 - EST Intravenous (IV) feeding A patient in the...Ch. 14 - EST Intravenous (IV) feeding A patient in the...Ch. 14 - EST Intravenous (IV) feeding A patient in the...Ch. 14 - Prob. 66RPPCh. 14 - Prob. 67RPPCh. 14 - Prob. 68RPPCh. 14 - Prob. 69RPPCh. 14 - Which number below best represents the ratio of...
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