EBK PHYSICS OF EVERYDAY PHENOMENA
8th Edition
ISBN: 8220106637050
Author: Griffith
Publisher: YUZU
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Chapter 8, Problem 4CQ
The rate of rotation of an object is gradually slowing down. Does this object have a rotational acceleration? Explain.
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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 8 Solutions
EBK PHYSICS OF EVERYDAY PHENOMENA
Ch. 8 - Which units would not be appropriate for...Ch. 8 - Which units would not be appropriate for...Ch. 8 - A coin rolls down an inclined plane, gaining speed...Ch. 8 - The rate of rotation of an object is gradually...Ch. 8 - Is the rotational velocity of a child sitting near...Ch. 8 - Is the linear speed of a child sitting near the...Ch. 8 - If an object has a constant rotational...Ch. 8 - A ball rolls down an inclined plane, gaining speed...Ch. 8 - Which, if either, will produce the greater torque:...Ch. 8 - Which of the forces pictured as acting upon the...
Ch. 8 - The two forces in the diagram have the same...Ch. 8 - Is it possible to balance two objects of different...Ch. 8 - Is it possible for the net force acting on an...Ch. 8 - You are trying to move a large rock using a steel...Ch. 8 - Prob. 15CQCh. 8 - Prob. 16CQCh. 8 - Prob. 17CQCh. 8 - An object is rotating with a constant rotational...Ch. 8 - A tall crate has a higher center of gravity than a...Ch. 8 - Two objects have the same total mass, but object A...Ch. 8 - Is it possible for two objects with the same mass...Ch. 8 - Can you change your rotational inertia about a...Ch. 8 - A solid sphere and a hollow sphere made from...Ch. 8 - Is angular momentum always conserved? Explain.Ch. 8 - A metal rod is rotated first about an axis through...Ch. 8 - A child on a freely rotating merry-go-round moves...Ch. 8 - Moving straight inward, a large child jumps onto a...Ch. 8 - Is it possible for an ice skater to change his...Ch. 8 - Suppose you are rotating a ball attached to a...Ch. 8 - Does the direction of the angular-momentum vector...Ch. 8 - Does the direction of the angular momentum vector...Ch. 8 - Can a yo-yo be made to sleep if the string is tied...Ch. 8 - An ice skater is spinning counterclockwise about a...Ch. 8 - A pencil, balanced vertically on its eraser, falls...Ch. 8 - A top falls over quickly if it is not spinning,...Ch. 8 - When we shift gears on the rear-wheel gear of a...Ch. 8 - In what foot position do we exert maximum torque...Ch. 8 - If we move the chain to a larger sprocket on the...Ch. 8 - Prob. 1ECh. 8 - Prob. 2ECh. 8 - Prob. 3ECh. 8 - Prob. 4ECh. 8 - Prob. 5ECh. 8 - Prob. 6ECh. 8 - Prob. 7ECh. 8 - Prob. 8ECh. 8 - Prob. 9ECh. 8 - Prob. 10ECh. 8 - Prob. 11ECh. 8 - Prob. 12ECh. 8 - Prob. 13ECh. 8 - Prob. 14ECh. 8 - Prob. 15ECh. 8 - Prob. 16ECh. 8 - Prob. 17ECh. 8 - Prob. 18ECh. 8 - Prob. 1SPCh. 8 - Prob. 2SPCh. 8 - Prob. 3SPCh. 8 - Prob. 4SP
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Rotational Kinetic Energy; Author: AK LECTURES;https://www.youtube.com/watch?v=s5P3DGdyimI;License: Standard YouTube License, CC-BY