Pearson eText for College Physics: Explore and Apply -- Instant Access (Pearson+)
2nd Edition
ISBN: 9780137443000
Author: Eugenia Etkina, Gorazd Planinsic
Publisher: PEARSON+
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Chapter 3, Problem 15P
*Explain the phenomenon of whiplash from two points of view: that of an observer on the ground and an observer in the car.
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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 3 Solutions
Pearson eText for College Physics: Explore and Apply -- Instant Access (Pearson+)
Ch. 3 - Review Question 3.1 How do we determine how many...Ch. 3 - Review Question 3.2 A book bag hanging from a...Ch. 3 - Review Question 3.3 An elevator in a tall office...Ch. 3 - Review Question 3.4 What is the main difference...Ch. 3 - Review Question 3.5 Your friend says that m is a...Ch. 3 - Review Question 3.6 Newton’s second law says that...Ch. 3 - Review Question 3.7 Three friends argue about the...Ch. 3 - Review Question 3.8 Is the following sentence...Ch. 3 - Review Question 3.9 Explain how an air bag and...Ch. 3 - An upward-moving elevator slows to a stop as it...
Ch. 3 - You apply the brakes of your car abruptly and your...Ch. 3 - Which of the statements below explains why a child...Ch. 3 - Which observers can explain the phenomenon of...Ch. 3 - 5. Which vector quantities describing a moving...Ch. 3 - You have probably observed that magnets attract...Ch. 3 - Which of the following velocity-versus-time graphs...Ch. 3 - A book sits on a tabletop. What force is the...Ch. 3 - 9. A spaceship moves in outer space. What happens...Ch. 3 - 10. A 0.10-kg apple falls on Earth, whose mass is...Ch. 3 - 11. A man stands on a scale and holds a heavy...Ch. 3 - You stand on a bathroom scale in a moving...Ch. 3 - A person pushes a 10-kg crate, exerting a 200-N...Ch. 3 - Two small balls of the same material, one of mass...Ch. 3 - 15. A box full of lead and a box of the same size...Ch. 3 -
16. Figure Q3.16 shows an unlabeled force...Ch. 3 - A person jumps from a wall and lands stiff-legged....Ch. 3 - A 3000-kg spaceship is moving away from a space...Ch. 3 - Figure Q3.19 is a velocity-versus-time graph for...Ch. 3 - 20. Explain the purpose of crumple zones, that is,...Ch. 3 - 21. Explain why when landing on a firm surface...Ch. 3 - A small car bumps into a large truck. Compare the...Ch. 3 - 23. You are pulling a sled. Compare the forces...Ch. 3 - 25. You are holding a 100-g apple. (a) What is the...Ch. 3 - 26. You throw a 100-g apple upward. (a) While the...Ch. 3 - After having been thrown upward, a 100-g apple...Ch. 3 - * In Figure P3.1 you see unlabeled force diagrams...Ch. 3 - 2. Draw a force diagram (a) for a bag hanging at...Ch. 3 - 3. For each of the following situations, draw the...Ch. 3 - 4. You hang a book bag on a spring scale and place...Ch. 3 - 5. A block of dry ice slides at constant velocity...Ch. 3 - 6. * You throw a ball upward. (a) Draw a motion...Ch. 3 - 7. A string pulls horizontally on a cart so that...Ch. 3 - 8. * Solving the previous problem, your friend...Ch. 3 - 9. * A string pulls horizontally on a cart so that...Ch. 3 - A block of dry ice slides at a constant velocity...Ch. 3 - 11 .Three motion diagrams for a moving elevator...Ch. 3 - 12. * A student holds a thin aluminum pie pan...Ch. 3 - * Figures P3.11a b, and c show three motion...Ch. 3 - 14. * A train traveling from New York to...Ch. 3 - *Explain the phenomenon of whiplash from two...Ch. 3 - An astronaut exerts a 100-N force pushing a beam...Ch. 3 - 17. Four people participate in a rope competition....Ch. 3 - 18. * Shot put throw During a practice shot put...Ch. 3 - * You know the sum of the forces F exerted on an...Ch. 3 - * You record the displacement of an object as a...Ch. 3 - 25. * Spider-Man Spider-Man holds the bottom of an...Ch. 3 - ** Matt is wearing Rollerblades. Beth pushes him...Ch. 3 - 27. * Stuntwoman The downward acceleration of a...Ch. 3 - EST Estimate the average force that a baseball...Ch. 3 - * Super Hornet jet takeoff A2.1104-kgF-18 Super...Ch. 3 - Lunar Lander The Lunar Lander of mass 2.01024 kg...Ch. 3 - 31. Aisha throws a ball upward Frances, standing...Ch. 3 - Students Lucia. Isabel, and Austin are...Ch. 3 - 33. * Astronaut Karen Nyberg, a 60-kg astronaut,...Ch. 3 - * A 0.10-kg apple falls off a tree branch that is...Ch. 3 - 35. ** An 80-kg fireman slides 5.0 m down a fire...Ch. 3 - * Earth exerts a 1.0-N gravitational force on an...Ch. 3 - * You push a bowling ball down the lane toward the...Ch. 3 - 38. * EST (a) A 50-kg skater initially at rest...Ch. 3 - 39. ** EST Basketball player LeBron James can jump...Ch. 3 - * EST The Scottish Tug of War Association contests...Ch. 3 - Consider the experiment described in Question 3.6...Ch. 3 - 42. * EST A friend drops a 0.625-kg basketball...Ch. 3 - 43 Car safety The National Transportation Safety...Ch. 3 - 44. * A 70-kg person in a moving car stops during...Ch. 3 - BIOESTLeft ventricle pumpingThe lower left chamber...Ch. 3 - Prob. 46GPCh. 3 - 47. ** EST Olympic dive During a practice dive,...Ch. 3 - 49. ** EST You are doing squats on a bathroom...Ch. 3 - ** EST Estimate the horizontal speed of the runner...Ch. 3 - 51. ** EST Estimate the maximum acceleration of...Ch. 3 - ** EST Estimate how much Earth would move during...Ch. 3 - In an early practice run while the rocket sled was...Ch. 3 - What is Stapps67m/sspeed in miles per hour? 30mi/h...Ch. 3 - 55. What is the magnitude of the acceleration of...Ch. 3 - 56. What is the magnitude of the acceleration of...Ch. 3 - What is the average force exerted by the...Ch. 3 - 58. What is the time interval for Stapp and his...Ch. 3 - Using proportions A proportion is defined as an...Ch. 3 - Using proportions A proportion is defined as an...Ch. 3 - Using proportions A proportion is defined as an...Ch. 3 - Using proportions A proportion is defined as an...Ch. 3 - Using proportions A proportion is defined as an...
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