SOLUTION MANUAL CONTENTS - Test Bank U
S O L U T I O N M A N U A L CONTENTSChapter 1 General PrinciplesChapter 2 Force VectorsFull file122Chapter 3 Equilibrium of a Particle171Chapter 4 Force System Resultants248Chapter 5 Equilibrium of a Rigid Body421Chapter 6 Structural Analysis515Chapter 7 Internal Forces643Chapter 8 Friction787Chapter 9 Center of Gravity and Centroid931Chapter 10 Moments of Inertia1071Chapter 11 Virtual Work1190 2013 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved. This publication is protected byCopyright and written permission should be obtained from the publisher prior to any prohibited reproduction, storage in a retrieval system,or transmission in any form or by any means, electronic, mechanical,photocopying, recording, or likewise. For information regarding permission(s), write to:at rand Permissions Department, Pearson Education, Inc., Upper Saddle River, NJ 07458.
Full file 2013 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved. This publication is protected byCopyright and written permission should be obtained from the publisher prior to any prohibited reproduction, storage in a retrieval system,or transmission in any form or by any means, electronic, mechanical,photocopying, recording, or likewise. For information regarding permission(s), write to:at rand Permissions Department, Pearson Education, Inc., Upper Saddle River, NJ 07458.
1–1.Round off the following numbers to three significantfigures: (a) 58 342 m, (b) 68.534 s, (c) 2553 N, and(d) 7555 kg.SOLUTIONa) 58.3 kmFull fileb) 68.5 sc) 2.55 kNd) 7.56 MgAns. 2013 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved. This publication is protected byCopyright and written permission should be obtained from the publisher prior to any prohibited reproduction, storage in a retrieval system,or transmission in any form or by any means, electronic, mechanical,photocopying, recording, or likewise. For information regarding permission(s), write to:at rand Permissions Department, Pearson Education, Inc., Upper Saddle River, NJ 07458.
1–2.Wood has a density of 4.70 slug ft3. What is its densityexpressed in SI units?SOLUTION(4.70 slug ft3) bFull file(1 ft3)(14.59 kg)(0.3048 m)3(1 slug)r 2.42 Mg m3Ans. 2013 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved. This publication is protected byCopyright and written permission should be obtained from the publisher prior to any prohibited reproduction, storage in a retrieval system,or transmission in any form or by any means, electronic, mechanical,photocopying, recording, or likewise. For information regarding permission(s), write to:at rand Permissions Department, Pearson Education, Inc., Upper Saddle River, NJ 07458.
1–3.Represent each of the following combinations of units inthe correct SI form using an appropriate prefix: (a) kN ms,(b) Mg mN, and (c) MN (kg # ms).SOLUTIONa) kN ms (103) N(10-6) sb) Mg mN (106) g-3(10 ) Nc) MN (kg # ms) Full file (109) N GN ss (109) g Gg NN(106) Nkg # (10-3) s (109) N GN (kg # s)kg # sAns.Ans.Ans. 2013 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved. This publication is protected byCopyright and written permission should be obtained from the publisher prior to any prohibited reproduction, storage in a retrieval system,or transmission in any form or by any means, electronic, mechanical,photocopying, recording, or likewise. For information regarding permission(s), write to:at rand Permissions Department, Pearson Education, Inc., Upper Saddle River, NJ 07458.
*1–4.Represent each of the following combinations of units inthe correct SI form using an appropriate prefix: (a) m ms,(b) mkm, (c) ks mg, and (d) km # mN.SOLUTIONa) m ms 11023 mm km ss1102-3 sb) mkm 1102-611023 m 1102-3 m mmc) ks mg d) km # mN Full file11023 s1102-6 kg103m 1011029 skg-6Ans. Gs kgN 10-3Ans.m # N mm # NAns.Ans. 2013 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved. This publication is protected byCopyright and written permission should be obtained from the publisher prior to any prohibited reproduction, storage in a retrieval system,or transmission in any form or by any means, electronic, mechanical,photocopying, recording, or likewise. For information regarding permission(s), write to:at rand Permissions Department, Pearson Education, Inc., Upper Saddle River, NJ 07458.
1–5.Represent each of the following quantities in the correctSI form using an appropriate prefix: (a) 0.000 431 kg,(b) 35.3(103) N, and (c) 0.005 32 km.SOLUTIONa) 0.000 431 kg 0.000 431 A 103 B g 0.431 gb) 35.3 A 103 B N 35.3 kNc) 0.005 32 km 0.005 32 A 103 B m 5.32 mFull fileAns.Ans.Ans. 2013 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved. This publication is protected byCopyright and written permission should be obtained from the publisher prior to any prohibited reproduction, storage in a retrieval system,or transmission in any form or by any means, electronic, mechanical,photocopying, recording, or likewise. For information regarding permission(s), write to:at rand Permissions Department, Pearson Education, Inc., Upper Saddle River, NJ 07458.
1–6.If a car is traveling at 55 mi h, determine its speed inkilometers per hour and meters per second.SOLUTION55 mi h a55 mi 5280 ft 0.3048 m1 kmbababab1h1 mi1 ft1000 m 88.5 km h88.5 km h aFull file88.5 km 1000 m1hbabab 24.6 m s1h1 km3600 sAns.Ans. 2013 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved. This publication is protected byCopyright and written permission should be obtained from the publisher prior to any prohibited reproduction, storage in a retrieval system,or transmission in any form or by any means, electronic, mechanical,photocopying, recording, or likewise. For information regarding permission(s), write to:at rand Permissions Department, Pearson Education, Inc., Upper Saddle River, NJ 07458.
1–7.The pascal (Pa) is actually a very small unit of pressure. Toshow this, convert 1 Pa 1 N m2 to lb ft2. Atmosphericpressure at sea level is 14.7 lb in2. How many pascals is this?SOLUTIONUsing Table 1–2, we have1 Pa 0.30482 m21N1 lbbaab 20.9 A 10 - 3 B lb ft2m2 4.4482 N1 ft21 ATM Ans.14.7 lb 4.448 N1 ft2144 in2ababba1 lbin21 ft20.30482 m2 101.3 A 103 B N m2 101 kPaFull fileAns. 2013 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved. This publication is protected byCopyright and written permission should be obtained from the publisher prior to any prohibited reproduction, storage in a retrieval system,or transmission in any form or by any means, electronic, mechanical,photocopying, recording, or likewise. For information regarding permission(s), write to:at rand Permissions Department, Pearson Education, Inc., Upper Saddle River, NJ 07458.
*1–8.The specific weight (wt. vol.) of brass is 520 lb ft3.Determine its density (mass vol.) in SI units. Use anappropriate prefix.SOLUTION520 lb ft3 a31 kg520 lb1 ft4.448 Nb ababba30.3048 m1 lb9.81 Nft 8.33 Mg m3Full fileAns. 2013 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved. This publication is protected byCopyright and written permission should be obtained from the publisher prior to any prohibited reproduction, storage in a retrieval system,or transmission in any form or by any means, electronic, mechanical,photocopying, recording, or likewise. For information regarding permission(s), write to:at rand Permissions Department, Pearson Education, Inc., Upper Saddle River, NJ 07458.
1–9.A rocket has a mass of 250(103) slugs on earth. Specify(a) its mass in SI units and (b) its weight in SI units. If therocket is on the moon, where the acceleration due to gravityis gm 5.30 ft s2, determine to three significant figures(c) its weight in SI units and (d) its mass in SI units.SOLUTIONUsing Table 1–2 and applying Eq. 1–3, we havea) 250 A 103 B slugs C 250 A 103 B slugs D a 3.6475 A 106 B kg14.59 kgb1 slugs 3.65 GgAns.b) We mg C 3.6475 A 106 B kg D A 9.81 m s2 B 35.792 A 106 B kg # m s2 35.8 MNAns.c) Wm mgm C 250 A 103 B slugs D A 5.30 ft s2 B C 1.325 A 106 B lb D a4.448 Nb1 lb 5.894 A 106 B N 5.89 MNAns.OrWm We a5.30 ft s2gmb (35.792 MN) ab 5.89 MNg32.2 ft s2d) Since the mass is independent of its location, thenmm me 3.65 A 106 B kg 3.65 GgFull fileAns. 2013 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved. This publication is protected byCopyright and written permission should be obtained from the publisher prior to any prohibited reproduction, storage in a retrieval system,or transmission in any form or by any means, electronic, mechanical,photocopying, recording, or likewise. For information regarding permission(s), write to:at rand Permissions Department, Pearson Education, Inc., Upper Saddle River, NJ 07458.
1–10.Evaluate each of the following to three significant figures andexpress each answer in SI units using an appropriate prefix:(a) (0.631 Mm) (8.60 kg)2, (b) (35 mm)2(48 kg)3.SOLUTIONa) (0.631 Mm) (8.60 kg)2 a0.631 A 106 B m(8.60)2 kg2b 8532 mkg2 8.53 A 103 B m kg2 8.53 km kg2b) (35 mm)2(48 kg)3 C 35 A 10 - 3 B m D 2 (48 kg)3 135 m2 # kg3Full fileAns.Ans. 2013 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved. This publication is protected byCopyright and written permission should be obtained from the publisher prior to any prohibited reproduction, storage in a retrieval system,or transmission in any form or by any means, electronic, mechanical,photocopying, recording, or likewise. For information regarding permission(s), write to:at rand Permissions Department, Pearson Education, Inc., Upper Saddle River, NJ 07458.
1–11.Evaluate each of the following to three significant figures andexpress each answer in Sl units using an appropriate prefix:(a) 354 mg(45 km) (0.0356 kN), (b) (0.004 53 Mg) (201 ms),and (c) 435 MN 23.2 mm.SOLUTIONa) (354 mg)(45 km) (0.0356 kN) C 354 A 10-3 B g D C 45 A 103 B m D0.0356 A 103 B N0.447 A 103 B g # mN 0.447 kg # m NAns.b) (0.00453 Mg)(201 ms) C 4.53 A 10-3 B A 103 B kg D C 201 A 10-3 B s D 0.911 kg # sc) 435 MN 23.2 mm Full file435 A 106 B N23.2 A 10-3 B m Ans.18.75 A 109 B Nm 18.8 GN mAns. 2013 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved. This publication is protected byCopyright and written permission should be obtained from the publisher prior to any prohibited reproduction, storage in a retrieval system,or transmission in any form or by any means, electronic, mechanical,photocopying, recording, or likewise. For information regarding permission(s), write to:at rand Permissions Department, Pearson Education, Inc., Upper Saddle River, NJ 07458.
*1–12.Convert each of the following and express the answer usingan appropriate prefix: (a) 175 lb ft3 to kN m3, (b) 6 ft h tomm s, and (c) 835 lb # ft to kN # m.SOLUTIONa) 175 lb ft3 b) 6 ft h a3175 lb1 ft4.448 Nbbaa 0.3048 m1 lbft327.511023 Nm3 27.5 kN m31h6 ft 0.3048 mbabab1h1 ft3600 s 0.5081102-3 m s 0.508 mm sc) 835 lb # ft 1835 lb # ft 1.13 10Full fileAns.34.448 N1 lbAns.0.3048 m1 ftN # m 1.13 kN # mAns. 2013 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved. This publication is protected byCopyright and written permission should be obtained from the publisher prior to any prohibited reproduction, storage in a retrieval system,or transmission in any form or by any means, electronic, mechanical,photocopying, recording, or likewise. For information regarding permission(s), write to:at rand Permissions Department, Pearson Education, Inc., Upper Saddle River, NJ 07458.
1–13.Convert each of the following to three significant figures:(a) 20 lb # ft to N # m, (b) 450 lb ft3 to kN m3, and(c) 15 ft h to mm s.SOLUTIONUsing Table 1–2, we havea) 20 lb # ft (20 lb # ft)a 27.1 N # mb) 450 lb ft3 a4.448 N 0.3048 mbab1 lb1 ft1 kN1 ft3450 lb 4.448 Nbababab31 lb1000 N 0.30483 m31 ft 70.7 kN m3c) 15 ft h aFull fileAns.1h15 ft 304.8 mmbabab 1.27 mm s1h1 ft3600 sAns.Ans. 2013 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved. This publication is protected byCopyright and written permission should be obtained from the publisher prior to any prohibited reproduction, storage in a retrieval system,or transmission in any form or by any means, electronic, mechanical,photocopying, recording, or likewise. For information regarding permission(s), write to:at rand Permissions Department, Pearson Education, Inc., Upper Saddle River, NJ 07458.
1–14.Evaluate each of the following and express with anappropriate prefix: (a) 1430 kg22, (b) 10.002 mg22, and(c) 1230 m23.SOLUTIONa) 1430 kg22 0.18511062 kg2 0.185 Mg2Ans.b) 10.002 mg22 32110-62 g42 4 mg2Ans. 0.23 103 mAns.c) 230 mFull file33 0.0122 km3 2013 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved. This publication is protected byCopyright and written permission should be obtained from the publisher prior to any prohibited reproduction, storage in a retrieval system,or transmission in any form or by any means, electronic, mechanical,photocopying, recording, or likewise. For information regarding permission(s), write to:at rand Permissions Department, Pearson Education, Inc., Upper Saddle River, NJ 07458.
1–15.Determine the mass of an object that has a weight of (a) 20 mN,(b) 150 kN, and (c) 60 MN. Express the answer to threesignificant figures.SOLUTIONApplying Eq. 1–3, we havea) m b) m c) m Full file20 A 10 - 3 B kg # m s2W 2.04 gg9.81 m s2150 A 103 B kg # m s2W 15.3 Mgg9.81 m s260 A 106 B kg # m s2W 6.12 Ggg9.81 m s2Ans.Ans.Ans. 2013 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved. This publication is protected byCopyright and written permission should be obtained from the publisher prior to any prohibited reproduction, storage in a retrieval system,or transmission in any form or by any means, electronic, mechanical,photocopying, recording, or likewise. For information regarding permission(s), write to:at rand Permissions Department, Pearson Education, Inc., Upper Saddle River, NJ 07458.
*1–16.What is the weight in newtons of an object that has a massof: (a) 10 kg, (b) 0.5 g, and (c) 4.50 Mg? Express the result tothree significant figures. Use an appropriate prefix.SOLUTIONa) W A 9.81 m s2 B (10 kg) 98.1 Nb) W A 9.81 m s2 B (0.5 g)(10 - 3 kg g) 4.90 mNc) W A 9.81 m s2 B (4.5 Mg) A 103 kg Mg B 44.1 kNFull fileAns.Ans.Ans. 2013 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved. This publication is protected byCopyright and written permission should be obtained from the publisher prior to any prohibited reproduction, storage in a retrieval system,or transmission in any form or by any means, electronic, mechanical,photocopying, recording, or likewise. For information regarding permission(s), write to:at rand Permissions Department, Pearson Education, Inc., Upper Saddle River, NJ 07458.
1–17.If an object has a mass of 40 slugs, determine its mass inkilograms.SOLUTION40 slugs (14.59 kg slug) 584 kgFull fileAns. 2013 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved. This publication is protected byCopyright and written permission should be obtained from the publisher prior to any prohibited reproduction, storage in a retrieval system,or transmission in any form or by any means, electronic, mechanical,photocopying, recording, or likewise. For information regarding permission(s), write to:at rand Permissions Department, Pearson Education, Inc., Upper Saddle River, NJ 07458.
1–18.Using the SI system of units, show that Eq. 1–2 is adimensionally homogeneous equation which gives F innewtons. Determine to three significant figures thegravitational force acting between two spheres that aretouching each other. The mass of each sphere is 200 kg andthe radius is 300 mm.SOLUTIONUsing Eq. 1–2,F GN am 1 m2r2kg # kgkg # mm3bab 22#kg sms2F Gm1 m 2r2 66.73 A 10 - 12 B c200(200)0.62d 7.41 A 10 - 6 B N 7.41 mNFull file(Q.E.D.)Ans. 2013 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved. This publication is protected byCopyright and written permission should be obtained from the publisher prior to any prohibited reproduction, storage in a retrieval system,or transmission in any form or by any means, electronic, mechanical,photocopying, recording, or likewise. For information regarding permission(s), write to:at rand Permissions Department, Pearson Education, Inc., Upper Saddle River, NJ 07458.
1–19.Water has a density of 1.94 slug ft3. What is the densityexpressed in SI units? Express the answer to threesignificant figures.SOLUTIONrw a1.94 slug1 ft3ba14.59 kg1 ft3bab1 slug0.30483 m3 999.6 kg m3 1.00 Mg m3Full fileAns. 2013 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved. This publication is protected byCopyright and written permission should be obtained from the publisher prior to any prohibited reproduction, storage in a retrieval system,or transmission in any form or by any means, electronic, mechanical,photocopying, recording, or likewise. For information regarding permission(s), write to:at rand Permissions Department, Pearson Education, Inc., Upper Saddle River, NJ 07458.
*1–20.Two particles have a mass of 8 kg and 12 kg, respectively. Ifthey are 800 mm apart, determine the force of gravityacting between them. Compare this result with the weightof each particle.SOLUTIONF Gm1 m2r2Where G 66.73 A 10-12 B m3 (kg # s2)F 66.73 A 10 - 12 B B8(12)(0.8)2R 10.0 A 10 - 9 B N 10.0 nNAns.W1 8(9.81) 78.5 NAns.W2 12(9.81) 118 NAns.Full file 2013 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved. This publication is protected byCopyright and written permission should be obtained from the publisher prior
SOLUTION Using Table 1 2 and applying Eq.1 3,we have a) Ans. b) Ans. c) Ans. Or d) Since the mass is independent of its location,then mm me 3.65A106Bkg 3.65 Gg Ans. Wm Wea gm g b (35.792 MN)a 5.30 ft s2 32.2 ft s2 b 5.89 MN 5.894A106BN 5.89 MN C1.325A106BlbDa 4.448 N 1lb b Wm mgm C250A103BslugsDA5.30 ft s2B 35.8 MN 35 .
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