Physics, 11e WileyPLUS + Loose-leaf
11th Edition
ISBN: 9781119394112
Author: John D. Cutnell, Kenneth W. Johnson, David Young, Shane Stadler
Publisher: Wiley (WileyPLUS Products)
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Chapter 4, Problem 120AP
A flatbed truck is carrying a crate up a hill of angle of inclination
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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 4 Solutions
Physics, 11e WileyPLUS + Loose-leaf
Ch. 4 - Prob. 1PCh. 4 - Prob. 2PCh. 4 - Two horizontal forces, F1 and F2 , are acting on a...Ch. 4 - Prob. 4PCh. 4 - Prob. 5PCh. 4 - Scientists are experimenting with a kind of gun...Ch. 4 - A 1580kg car is traveling with a speed of 15.0m/s....Ch. 4 - Prob. 8PCh. 4 - Prob. 9PCh. 4 - Prob. 10P
Ch. 4 - Prob. 11PCh. 4 - An instant when a soccer ball is in contact with...Ch. 4 - Prob. 13PCh. 4 - Prob. 14PCh. 4 - Prob. 15PCh. 4 - Prob. 16PCh. 4 - Prob. 17PCh. 4 - Prob. 18PCh. 4 - Prob. 19PCh. 4 - Prob. 20PCh. 4 - Prob. 21PCh. 4 - Prob. 22PCh. 4 - A raindrop has a mass of 5.2107kg and is falling...Ch. 4 - Prob. 24PCh. 4 - Prob. 25PCh. 4 - Prob. 26PCh. 4 - Prob. 27PCh. 4 - Prob. 28PCh. 4 - The drawing shows three particles far away from...Ch. 4 - Prob. 30PCh. 4 - Prob. 32PCh. 4 - Prob. 34PCh. 4 - The sun is more massive than the moon, but the sun...Ch. 4 - Prob. 37PCh. 4 - Prob. 38PCh. 4 - A 60.0-kg crate rests on a leave floor at a...Ch. 4 - Prob. 40PCh. 4 - Prob. 41PCh. 4 - Prob. 42PCh. 4 - A Mercedes-Benz 300SL(m=1700kg) is parked on a...Ch. 4 - Prob. 44PCh. 4 - Prob. 45PCh. 4 - A cup of coffee is on a table in an airplane...Ch. 4 - Prob. 47PCh. 4 - Prob. 48PCh. 4 - Prob. 49PCh. 4 - Prob. 50PCh. 4 - While moving in, a new homeowner is pushing a box...Ch. 4 - Prob. 52PCh. 4 - Prob. 53PCh. 4 - Prob. 57PCh. 4 - Prob. 58PCh. 4 - Prob. 60PCh. 4 - During a storm, a tree limb breaks off and comes...Ch. 4 - A toboggan slides down a hill and has a constant...Ch. 4 - The person in the drawing is standing on crutches....Ch. 4 - Prob. 67PCh. 4 - Prob. 68PCh. 4 - Prob. 70PCh. 4 - Prob. 71PCh. 4 - Prob. 72PCh. 4 - Prob. 73PCh. 4 - Prob. 74PCh. 4 - Prob. 75PCh. 4 - Prob. 76PCh. 4 - Prob. 77PCh. 4 - Prob. 78PCh. 4 - Prob. 79PCh. 4 - Prob. 80PCh. 4 - Prob. 81PCh. 4 - Prob. 82PCh. 4 - Prob. 83PCh. 4 - Prob. 84PCh. 4 - Prob. 85PCh. 4 - Prob. 86PCh. 4 - Prob. 87PCh. 4 - Two blocks are sliding to the right across a...Ch. 4 - Prob. 89PCh. 4 - Prob. 90PCh. 4 - Prob. 92PCh. 4 - A penguin slides at a constant velocity of 1.4m/s...Ch. 4 - Prob. 96APCh. 4 - Prob. 97APCh. 4 - Prob. 98APCh. 4 - Prob. 99APCh. 4 - Prob. 100APCh. 4 - In a European country a bathroom scale displays...Ch. 4 - Prob. 103APCh. 4 - Prob. 104APCh. 4 - Prob. 105APCh. 4 - Prob. 106APCh. 4 - Prob. 107APCh. 4 - Prob. 108APCh. 4 - Prob. 110APCh. 4 - Prob. 112APCh. 4 - Prob. 116APCh. 4 - Prob. 117APCh. 4 - A flatbed truck is carrying a crate up a hill of...Ch. 4 - Prob. 121CCPCh. 4 - Prob. 122CCPCh. 4 - Prob. 123TPCh. 4 - Prob. 124TP
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