Represent each of the following combinations of units in the correct SI form using an appropriate prefix: (a) m/ms (b) μkm (c) ks/mg (d) km μn

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1 2007 R. C. Hibbeler. Publihed by Pearon Education, Inc., Upper Saddle River, J. All right reerved. Thi aterial i protected under all copyright law a they currently exit. o portion of thi aterial ay be reproduced, in any for or by any ean, without periion in writing fro the publiher. Engineering Mechanic - Static Chapter 1 Proble 1-1 Repreent each of the following cobination of unit in the correct SI for uing an appropriate prefix: (a) / (b) μk (c) k/g (d) k μ μ 10 6 μk 10 6 k G 10 9 k ( a) k ( b) μk ( c) k g μk kg k g 1 G kg ( d) k μ k μ 1 1

2 2007 R. C. Hibbeler. Publihed by Pearon Education, Inc., Upper Saddle River, J. All right reerved. Thi aterial i protected under all copyright law a they currently exit. o portion of thi aterial ay be reproduced, in any for or by any ean, without periion in writing fro the publiher. Engineering Mechanic - Static Chapter 1 Proble 1-2 Wood ha a denity d. What i it denity expreed in SI unit? 1000 kg d 4.70 lug ft 3 1lug kg d Proble 1-3 Repreent each of the following cobination of unit in the correct SI for uing an appropriate prefix: (a) / (b) /μ (c) μ ( a) 10 3 kg kg Gg Gg ( b) μ μ ( )( 3 10 kg ) ( c) μ kg μ kg 2

3 2007 R. C. Hibbeler. Publihed by Pearon Education, Inc., Upper Saddle River, J. All right reerved. Thi aterial i protected under all copyright law a they currently exit. o portion of thi aterial ay be reproduced, in any for or by any ean, without periion in writing fro the publiher. Engineering Mechanic - Static Chapter 1 Proble 1-4 Repreent each of the following cobination of unit in the correct SI for: (a) /, (b) /, (c) /( kg μ). ( a) 10 3 kg kg Gg Gg ( b) ( c) kg μ kg kg kg μ kg Proble 1-5 Repreent each of the following with SI unit having an appropriate prefix: (a) S 1, (b) S 2, (c) S 3. kg 1000 g S S S kg ( a) S

4 2007 R. C. Hibbeler. Publihed by Pearon Education, Inc., Upper Saddle River, J. All right reerved. Thi aterial i protected under all copyright law a they currently exit. o portion of thi aterial ay be reproduced, in any for or by any ean, without periion in writing fro the publiher. Engineering Mechanic - Static Chapter 1 ( b) S ( c) S g Proble 1-6 Repreent each of the following to three ignificant figure and expre each anwer in SI unit uing an appropriate prefix: (a) x, (b) y, and (c) z. M 10 6 μg g 10 3 x ( ) y z g ( a) x 45.3 M ( b) y 56.8 k ( c) z 5.63 μg Proble 1-7 Evaluate ( ab )/c to three ignificant figure and expre the anwer in SI unit uing an appropriate prefix. μ 10 6 a ( 204 ) 4

5 2007 R. C. Hibbeler. Publihed by Pearon Education, Inc., Upper Saddle River, J. All right reerved. Thi aterial i protected under all copyright law a they currently exit. o portion of thi aterial ay be reproduced, in any for or by any ean, without periion in writing fro the publiher. Engineering Mechanic - Static Chapter 1 b c ( kg) ( 34.6 ) l ab l μkg c Proble 1-8 If a car i traveling at peed v, deterine it peed in kiloeter per hour and eter per econd. v 55 i hr v k hr v 24.6 Proble 1-9 Convert: (a) S 1 to, (b) S 2 to / 3, (c) S 3 to /. Expre the reult to three ignificant figure. Ue an appropriate prefix S 1 S 2 S 3 200g lb ft 350g lb ft 3 8 ft hr 5

6 2007 R. C. Hibbeler. Publihed by Pearon Education, Inc., Upper Saddle River, J. All right reerved. Thi aterial i protected under all copyright law a they currently exit. o portion of thi aterial ay be reproduced, in any for or by any ean, without periion in writing fro the publiher. Engineering Mechanic - Static Chapter 1 ( a) S ( b) S ( c) S Proble 1-10 What i the weight in newton of an object that ha a a of: (a) 1, (b) 2, (c) 3? Expre the reult to three ignificant figure. Ue an appropriate prefix kg kg g ( a) W 1 g W 98.1 ( b) W 2 g W 4.90 ( c) W 3 g W

7 2007 R. C. Hibbeler. Publihed by Pearon Education, Inc., Upper Saddle River, J. All right reerved. Thi aterial i protected under all copyright law a they currently exit. o portion of thi aterial ay be reproduced, in any for or by any ean, without periion in writing fro the publiher. Engineering Mechanic - Static Chapter 1 Proble 1-11 If an object ha a, deterine it a in kilogra. 40 lug 584 kg Proble 1-12 The pecific weight (wt./vol.) of bra i ρ. Deterine it denity (a/vol.) in SI unit. Ue an appropriate prefix kg ρ 520 lb ft 3 ρ Proble 1-13 A concrete colun ha diaeter d and length L. If the denity (a/volue) of concrete i ρ, deterine the weight of the colun in pound kg kip 10 3 lb d L

8 2007 R. C. Hibbeler. Publihed by Pearon Education, Inc., Upper Saddle River, J. All right reerved. Thi aterial i protected under all copyright law a they currently exit. o portion of thi aterial ay be reproduced, in any for or by any ean, without periion in writing fro the publiher. Engineering Mechanic - Static Chapter 1 ρ V π d 2 L V L 2 W ρ V W 1.04 kip Proble 1-14 The denity (a/volue) of aluinu i ρ. Deterine it denity in SI unit. Ue an appropriate prefix kg ρ 5.26 lug ft 3 ρ Proble 1-15 Deterine your own a in kilogra, your weight in newton, and your height in eter. Exaple W 150 lb W kg Wg h 72 in h

9 2007 R. C. Hibbeler. Publihed by Pearon Education, Inc., Upper Saddle River, J. All right reerved. Thi aterial i protected under all copyright law a they currently exit. o portion of thi aterial ay be reproduced, in any for or by any ean, without periion in writing fro the publiher. Engineering Mechanic - Static Chapter 1 Proble 1-16 Two particle have ae 1 and 2, repectively. If they are a ditance d apart, deterine the force of gravity acting between the. Copare thi reult with the weight of each particle. G n kg kg 12 kg d 800 F F G 1 2 d n W 1 1 g W W 1 F W 2 2 g W W 2 F Proble 1-17 Uing the bae unit of the SI yte, how that F G( 1 2 )/r 2 i a dienionally hoogeneou equation which give F in newton. Copute the gravitational force acting between two identical phere that are touching each other. The a of each phere i 1, and the radiu i r. μ 10 6 G kg 2 9

10 2007 R. C. Hibbeler. Publihed by Pearon Education, Inc., Upper Saddle River, J. All right reerved. Thi aterial i protected under all copyright law a they currently exit. o portion of thi aterial ay be reproduced, in any for or by any ean, without periion in writing fro the publiher. Engineering Mechanic - Static Chapter kg r 275 F G 1 2 ( 2r) 2 F 4.96 μ Since the force F i eaured in ewton, then the equation i dienionally hoogeneou. Proble 1-18 Evaluate each of the following to three ignificant figure and expre each anwer in SI unit uing an appropriate prefix: (a) x, (b) y, (c) z. M μ 10 6 x y z ( 200 ) 2 ( ) 2 ( 400 ) 3 ( a) x M 2 ( b) y 25.0 μ 2 ( c) z k 3 10

11 2007 R. C. Hibbeler. Publihed by Pearon Education, Inc., Upper Saddle River, J. All right reerved. Thi aterial i protected under all copyright law a they currently exit. o portion of thi aterial ay be reproduced, in any for or by any ean, without periion in writing fro the publiher. Engineering Mechanic - Static Chapter 1 Proble 1-19 Evaluate each of the following to three ignificant figure and expre each anwer in SI unit uing an appropriate prefix: (a) a 1 /b 1, (b) a 2 b 2 /c 2, (c) a 3 b 3. μ 10 6 M g kg 10 3 g 10 3 a 1 b 1 a 2 b 2 c 2 a 3 b μ M 348 g ( a) a 1 b ( b) a 2 b M c 2 kg ( c) a 3 b k kg Proble 1-20 Evaluate each of the following to three ignificant figure and expre each anwer in SI unit uing an appropriate prefix: (a) 2 a 1 /b 1 (b) a 2 2 b 3 2. M

12 2007 R. C. Hibbeler. Publihed by Pearon Education, Inc., Upper Saddle River, J. All right reerved. Thi aterial i protected under all copyright law a they currently exit. o portion of thi aterial ay be reproduced, in any for or by any ean, without periion in writing fro the publiher. Engineering Mechanic - Static Chapter 1 a 1 b 1 a 2 b M 8.60 kg kg ( a) a 1 b k kg ( b) a 2 b kg