An Introduction to Physical Science
14th Edition
ISBN: 9781305079137
Author: James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
Publisher: Cengage Learning
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Textbook Question
Chapter 14.1, Problem 14.1CE
Which of the following two structural formulas is not correct? Why?
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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 \((-180^{\circ},180^{\circ}]\).
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Chapter 14 Solutions
An Introduction to Physical Science
Ch. 14.1 - Prob. 1PQCh. 14.1 - Prob. 2PQCh. 14.1 - Which of the following two structural formulas is...Ch. 14.2 - Prob. 1PQCh. 14.2 - Prob. 2PQCh. 14.2 - Prob. 14.2CECh. 14.3 - Prob. 1PQCh. 14.3 - Which type of organic material is most used as an...Ch. 14.3 - The octane rating for gasoline assigns a value of...Ch. 14.4 - Prob. 1PQ
Ch. 14.4 - Which types of hydrocarbon derivatives have foul...Ch. 14.4 - Two constitutional isomers of C3H7F exist. Draw...Ch. 14.5 - Prob. 1PQCh. 14.5 - Prob. 2PQCh. 14.5 - Prob. 14.5CECh. 14.6 - Prob. 1PQCh. 14.6 - What is the composition of soap?Ch. 14 - Prob. AMCh. 14 - Prob. BMCh. 14 - Prob. CMCh. 14 - Prob. DMCh. 14 - Prob. EMCh. 14 - Prob. FMCh. 14 - Prob. GMCh. 14 - Prob. HMCh. 14 - Prob. IMCh. 14 - Prob. JMCh. 14 - Prob. KMCh. 14 - Prob. LMCh. 14 - Prob. MMCh. 14 - Prob. NMCh. 14 - Prob. OMCh. 14 - Prob. PMCh. 14 - Prob. QMCh. 14 - Prob. RMCh. 14 - Prob. SMCh. 14 - Prob. TMCh. 14 - Prob. UMCh. 14 - Prob. VMCh. 14 - Prob. WMCh. 14 - Prob. XMCh. 14 - Prob. YMCh. 14 - Prob. ZMCh. 14 - Prob. 1MCCh. 14 - Prob. 2MCCh. 14 - Which of the following is the most common aromatic...Ch. 14 - Prob. 4MCCh. 14 - Prob. 5MCCh. 14 - Prob. 6MCCh. 14 - Which of the following is a correct formula for an...Ch. 14 - Prob. 8MCCh. 14 - Which of these are the best-known synthetic...Ch. 14 - Prob. 10MCCh. 14 - Prob. 11MCCh. 14 - Prob. 12MCCh. 14 - Prob. 1FIBCh. 14 - Prob. 2FIBCh. 14 - Prob. 3FIBCh. 14 - Prob. 4FIBCh. 14 - Prob. 5FIBCh. 14 - A compound with the general formula CnH2n is...Ch. 14 - Prob. 7FIBCh. 14 - Prob. 8FIBCh. 14 - Prob. 9FIBCh. 14 - Prob. 10FIBCh. 14 - Prob. 11FIBCh. 14 - Prob. 12FIBCh. 14 - Prob. 1SACh. 14 - Prob. 2SACh. 14 - Tell the number of covalent bonds formed by an...Ch. 14 - Prob. 4SACh. 14 - Show the Kekul representation and the preferred...Ch. 14 - What structural feature distinguishes an aromatic...Ch. 14 - Give the general molecular formulas for alkanes,...Ch. 14 - Name the first eight members of the alkane series....Ch. 14 - Prob. 9SACh. 14 - Prob. 10SACh. 14 - Prob. 11SACh. 14 - Use both full and condensed structural formulas to...Ch. 14 - Prob. 13SACh. 14 - Name the compound represented by a hexagon and...Ch. 14 - Both ethene and ethyne are often called by their...Ch. 14 - Distinguish between saturated and unsaturated...Ch. 14 - Prob. 17SACh. 14 - Prob. 18SACh. 14 - Give the condensed structural formula for...Ch. 14 - Give the general formula for an alcohol. Name the...Ch. 14 - What characteristic group does an amine contain,...Ch. 14 - Prob. 22SACh. 14 - Prob. 23SACh. 14 - Prob. 24SACh. 14 - Prob. 25SACh. 14 - Prob. 26SACh. 14 - Prob. 27SACh. 14 - Prob. 28SACh. 14 - Prob. 29SACh. 14 - What two simpler sugars combine to form sucrose?...Ch. 14 - Prob. 31SACh. 14 - Prob. 32SACh. 14 - Prob. 33SACh. 14 - Prob. 34SACh. 14 - Prob. 1VCCh. 14 - Prob. 1AYKCh. 14 - You overhear someone comment that a lot of cat...Ch. 14 - Look up the structural formula of aspirin...Ch. 14 - As you take out the garbage one morning, you see...Ch. 14 - Prob. 5AYKCh. 14 - Prob. 6AYKCh. 14 - Prob. 7AYKCh. 14 - Which of these structural formulas is valid, and...Ch. 14 - Prob. 2ECh. 14 - Prob. 3ECh. 14 - Prob. 4ECh. 14 - Classify each of the following hydrocarbon...Ch. 14 - Prob. 7ECh. 14 - Prob. 8ECh. 14 - Prob. 9ECh. 14 - State whether the structural formulas shown in...Ch. 14 - Prob. 11ECh. 14 - Given the IUPAC name, draw the structural formula...Ch. 14 - Prob. 13ECh. 14 - Prob. 14ECh. 14 - Identify each structural formula as belonging to...Ch. 14 - Identify each structural formula as belonging to...Ch. 14 - Prob. 17ECh. 14 - Draw the constitutional isomers for (a) C2H7N...Ch. 14 - Prob. 19ECh. 14 - Acrilan is an addition polymer made from the...Ch. 14 - Prob. 21ECh. 14 - The polyester formed from lactic acid (shown...Ch. 14 - Draw the resulting dipeptide formed from the...Ch. 14 - Draw the resulting dipeptide formed from the...Ch. 14 - Prob. 25ECh. 14 - Prob. 26E
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