The Physics of Everyday Phenomena
8th Edition
ISBN: 9780073513904
Author: W. Thomas Griffith, Juliet Brosing Professor
Publisher: McGraw-Hill Education
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Chapter 6, Problem 12CQ
A child pulls a block across the floor with force applied by a horizontally held string. A smaller frictional force also acts upon the block, yielding a net force on the block that is smaller than the force applied by the string. Does the work done by the force applied by the string equal the change in kinetic energy in this situation? 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 6 Solutions
The Physics of Everyday Phenomena
Ch. 6 - Equal forces are used to move blocks A and B...Ch. 6 - A man pushes very hard for several seconds upon a...Ch. 6 - Prob. 3CQCh. 6 - In the situation pictured in question 3, if there...Ch. 6 - In the situation pictured in question 3, does the...Ch. 6 - A ball is being twirled in a circle at the end of...Ch. 6 - A man slides across a wooden floor. What forces...Ch. 6 - A woman uses a pulley arrangement to lift a heavy...Ch. 6 - A lever is used to lift a rock, as shown in the...Ch. 6 - A crate on rollers is pushed up an inclined plane...
Ch. 6 - A boy pushes his friend across a skating rink....Ch. 6 - A child pulls a block across the floor with force...Ch. 6 - If there is just one force acting on an object,...Ch. 6 - Prob. 14CQCh. 6 - A box is moved from the floor up to a tabletop but...Ch. 6 - Prob. 16CQCh. 6 - Is it possible for a system to have energy if...Ch. 6 - Prob. 18CQCh. 6 - Which has the greater potential energy: a ball...Ch. 6 - Prob. 20CQCh. 6 - Suppose the physics instructor pictured in figure...Ch. 6 - A pendulum is pulled back from its equilibrium...Ch. 6 - For the pendulum in question 22when the pendulum...Ch. 6 - Is the total mechanical energy conserved in the...Ch. 6 - Prob. 25CQCh. 6 - Prob. 26CQCh. 6 - Prob. 27CQCh. 6 - Prob. 28CQCh. 6 - Prob. 29CQCh. 6 - If one pole-vaulter can run faster than another,...Ch. 6 - Prob. 31CQCh. 6 - Suppose that the mass in question 31 is halfway...Ch. 6 - A spring gun is loaded with a rubber dart. The gun...Ch. 6 - Prob. 34CQCh. 6 - A sled is given a push at the top of a hill. Is it...Ch. 6 - Prob. 36CQCh. 6 - Prob. 37CQCh. 6 - Prob. 1ECh. 6 - Prob. 2ECh. 6 - Prob. 3ECh. 6 - Prob. 4ECh. 6 - Prob. 5ECh. 6 - Prob. 6ECh. 6 - Prob. 7ECh. 6 - Prob. 8ECh. 6 - Prob. 9ECh. 6 - Prob. 10ECh. 6 - Prob. 11ECh. 6 - Prob. 12ECh. 6 - Prob. 13ECh. 6 - Prob. 14ECh. 6 - Prob. 15ECh. 6 - Prob. 16ECh. 6 - Prob. 17ECh. 6 - Prob. 18ECh. 6 - Prob. 19ECh. 6 - Prob. 1SPCh. 6 - Prob. 2SPCh. 6 - Prob. 3SPCh. 6 - Prob. 4SPCh. 6 - Prob. 5SPCh. 6 - Prob. 6SP
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