Estatica Mecanica para Engenharia - Hibbeler 10a Ed solucionario

Contents 1 General Principles 1 2 Force Vectors 5 3 Equilibrium of a Particle 77 4 Force System Resultants 129 5 Equilibrium of a Rigid Body 206 6 Structural Analysis 261 7 Internal Forces 391 8 Friction 476 9 Center of Gravity and Centroid 556 10 Moments of Inertia 619 11 Virtual Work 680 Instructor's Solutions Manual ENGINEERING MECHANICS STATICS TENTH EDITION R. C. Hibbeler PEARSON Prentice Hall Pearson Education, Inc. Upper Saddle River, New Jersey 07458 Executive Editor: Eric Svendsen Associate Editor: Dee Bernhard Executive Managing Editor: Vince O'Brien Managing Editor: David A. George Production Editor: Barbara A. Till Director of Creative Services: Paul Belfanti Manufacturing Manager: Trudy Pisciotti Manufacturing Buyer: Ilene Kahn About the cover: The forces within the members of this truss bridge must be determined if they are to be properly designed. Cover Image: R.C. Hibbeler. PEARSON Prentice Hall © 2004 by Pearson Education, Inc. Pearson Prentice Hall Pearson Education, Inc. Upper Saddle River, NJ 07458 All rights reserved. No part of this book may be reproduced in any form or by any means, without permission in writing from the publisher. The author and publisher of this book have used their best efforts in preparing this book. These efforts include the development, research, and testing of the theories and programs to determine their effectiveness. The author and publisher make no warranty of any kind, expressed or implied, with regard to these programs or the documentation contained in this book. The author and publisher shall not be liable in any event for incidental or consequential damages in connection with, or arising out of, the furnishing, performance, or use of these programs. Pearson Prentice Hall® is a trademark of Pearson Education, Inc. Printed in the United States of America 10 9 8 7 6 5 4 3 2 1 ISBN 0-13-141212-4 Pearson Education Ltd., London Pearson Education Australia Pty. Ltd., Sydney Pearson Education Singapore, Pte. Ltd. Pearson Education North Asia Ltd., Hong Kong Pearson Education Canada, Inc., Toronto Pearson Educacion de Mexico, S.A. de C.V. Pearson Education—Japan, Tokyo Pearson Education Malaysia, Pte. Ltd. Pearson Education, Inc., Upper Saddle River, New Jersey 1-1. Round off the following numbers to three significant figures: (a) 4.6573 fs, (b) 55.578 s, (c) 4555 N, (d) 2788 kg. a) 4.66 b) 55.6 c) 4.56 x 10^3 d) 2.77 Mg Ans 1-2. Wood has a density of 4.70 slug/ft^3. What is its density expressed in SI units? (4.70 slug/ft^3) [(1 lb)/(4.969 slugs)] (1/32.2) (1/3.048 m)^3 (1 ft)^3 [4.4482 N)/1 lb)] = 2.42 Mg/m^3 Ans 1-3. Represent each of the following quantities in the correct SI form using an appropriate prefix: (a) 0.000431 kg, (b) 353(10^3) N, (c) 0.00532 km. a) 0.000431 kg = 0.000431 (10^3) = 0.431 g Ans b) 353(10^3) N = 353 kN Ans c) 0.00532 km = 0.00532(1) km = 5.32 m Ans 1-4. Represent each of the following combinations of units in the correct SI form using an appropriate prefix: (a) m/mm, (b) J/km, (c) k/mg, and (d) km . μN. a) (m)/(mm) = (1 )/ (10^3 m) = km^(-1) Ans b) μNm=(J)/(km) — (10^(-6)J/kg)/(1 km) = μJ/km Ans c) kg/mg = [(10^(-2))(10^3 mg)]=(10^(-6)/(1 m)=Gg/kg Ans d) km-μN=[(10^(9)/1)] [(10^(-9)N)/(1 m)]=m.mm^-1 Ans 1-5. If a car is traveling at 55 mi/h, determine its speed in kilometers per hour and meters per second. 55 mi/h = (55 mi)/(1 h) = 88.5 km/h = (88.5 km/h) [[1hr]/(3600s)]= km/h = 24.6 m/s Converts رابطه های ریاضی شو 1-6. Evaluate each of the following and express with an appropriate prefix: (a) 430 kg^2, (b) (0.002 mg)^2, and (c) (230 m^-1)^2. (a) (430 kg)2=[(430)^kg]\[(1)/(1)]=kg =118 kg^2 Ans (b) (0.0024 mg)\[=(2.56x^(-6m/k^2k)]=4 μg^2 Ans (c) (230 m)\[=(1.60x]m)=(0.06n1) 12-=0.053m-] Ans 2-5. Resolve the force F1 into components acting along the u and v axes and determine the magnitudes of the components. Fv = 205 N Ans Fu = 160 N Ans 2-6. Resolve the force F2 into components acting along the u and v axes and determine the magnitudes of the components. Fv = 379 N Ans Fu = 422 N Ans 2-7. The plate is subjected to the two forces at A and B as shown. If θ = 60°, determine the magnitude of the resultant of these two forces and its direction measured from the horizontal. Trigonometry: Using law of cosines [Fig. (b)], we have FR = √(6)^2 + (6)^2 - 2(6)(6) cos(100°) = 10.94 kN = 10.9 kN Ans The angle θ can be determined using law of sines [Fig. (b)]. sin θ / sin 100° = θ = 53.1° Ans Φ = 33.1° - 30° = 3.1° Ans