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 7, Problem 22CQ
When a cannon rigidly mounted on a large boat is fired, is momentum conserved? Explain, being careful to clearly define the system being considered.
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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 7 Solutions
The Physics of Everyday Phenomena
Ch. 7 - Does the length of time that a force acts on an...Ch. 7 - Two forces produce equal impulses, but the second...Ch. 7 - Is it possible for a baseball to have as large a...Ch. 7 - Are impulse and force the same thing? Explain.Ch. 7 - Are impulse and momentum the same thing? Explain.Ch. 7 - If a ball bounces off a wall so that its velocity...Ch. 7 - Is there an advantage to following through when...Ch. 7 - What is the advantage of a padded dashboard...Ch. 7 - What is the advantage of an air bag in reducing...Ch. 7 - If an air bag inflates too rapidly and firmly...
Ch. 7 - If you catch a baseball or softball with your bare...Ch. 7 - Suppose you move your hand forward to meet the egg...Ch. 7 - A truck and a bicycle are moving side by side with...Ch. 7 - Is the principle of conservation of momentum...Ch. 7 - A ball is accelerated down a fixed inclined plane...Ch. 7 - Two objects collide under conditions where...Ch. 7 - Which of Newtons laws of motion are involved in...Ch. 7 - A compact car and a large truck have a head-on...Ch. 7 - A fullback collides midair and head-on with a...Ch. 7 - Two ice skaters, initially at rest, push off one...Ch. 7 - Two shotguns are identical in every respect...Ch. 7 - When a cannon rigidly mounted on a large boat is...Ch. 7 - Is it possible for a rocket to function in empty...Ch. 7 - Suppose you are standing on a surface that is so...Ch. 7 - Suppose an astronaut in outer space suddenly...Ch. 7 - Suppose that on a perfectly still day, a sailboat...Ch. 7 - A skateboarder jumps on a moving skateboard from...Ch. 7 - A railroad car collides and couples with a second...Ch. 7 - Is the collision in question 28 elastic, partially...Ch. 7 - If momentum is conserved in a collision, does this...Ch. 7 - A ball bounces off a wall with a velocity whose...Ch. 7 - A ball bounces off a wall that is rigidly attached...Ch. 7 - A cue ball strikes an 8 ball of equal mass, which...Ch. 7 - Two lumps of clay traveling through the air in...Ch. 7 - Two lumps of clay, of equal mass, are traveling...Ch. 7 - Two cars of equal mass collide at right angles to...Ch. 7 - A car and a small truck traveling at right angles...Ch. 7 - A cue ball strikes a glancing blow against a...Ch. 7 - Prob. 1ECh. 7 - Prob. 2ECh. 7 - Prob. 3ECh. 7 - Prob. 4ECh. 7 - Prob. 5ECh. 7 - Prob. 6ECh. 7 - Prob. 7ECh. 7 - Prob. 8ECh. 7 - Prob. 9ECh. 7 - Prob. 10ECh. 7 - Prob. 11ECh. 7 - Prob. 12ECh. 7 - Prob. 13ECh. 7 - Prob. 14ECh. 7 - Prob. 16ECh. 7 - For the two vehicles in exercise E16: a. Sketch to...Ch. 7 - Prob. 18ECh. 7 - Refer to example box 7.2 and figures 7.17 and...Ch. 7 - Prob. 1SPCh. 7 - Prob. 2SPCh. 7 - Consider two cases in which the same ball is...Ch. 7 - Prob. 4SPCh. 7 - Prob. 5SP
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