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Engineering Mechanics - Statics Chapter 1 Problem 1-2 Wood has a density d. What is its density expressed in SI units? Units Used: Mg = 1000 kg Given: d = 4.70 slug ft 3 Solution: 1slug = 14.594 kg d = 2.42 Mg m 3 Problem 1-3 Represent each of the following combinations of units in the correct SI form using an appropriate prefix: (a) Mg/mm (b) mN/μs (c) μm⋅ Mg Solution: 3 ( a) 6 Mg 10 kg 10 kg Gg = = = −3 mm m m 10 m Mg Gg = mm m ( b) mN μs mN μs ( c) = 10 −3 10 = N −6 3 = s 10 N kN = s s kN s ( −6 μm⋅ Mg = 10 )( 3 ) m 10 kg = 10 −3 m⋅ kg μm⋅ Mg = mm⋅ kg 2 © 2007 R. C. Hibbeler. Published by Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved. This material is protected under all copyright laws as they currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.

Engineering Mechanics - Statics Chapter 1 Problem 1-4 Represent each of the following combinations of units in the correct SI form: (a) Mg/ms, (b) N/mm, (c) mN/( kg⋅ μs). Solution: 3 ( a) 6 Mg 10 kg 10 kg Gg = = = −3 ms s s 10 s Mg Gg = ms s N = mm ( b) 1N 10 −3 = 10 3N m m = kN m N kN = mm m mN ( c) kg⋅ μs 10 = mN kg⋅ μs −3 −6 10 = N = kg⋅ s kN kg⋅ s kN kg⋅ s Problem 1-5 Represent each of the following with SI units having an appropriate prefix: (a) S1, (b) S2, (c) S3. Units Used: kg = 1000 g −3 ms = 10 s 3 kN = 10 N Given: S1 = 8653 ms S2 = 8368 N S3 = 0.893 kg Solution: ( a) S1 = 8.653 s 3 © 2007 R. C. Hibbeler. Published by Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved. This material is protected under all copyright laws as they currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.

Engineering Mechanics - Statics ( b) S2 = 8.368 kN ( c) S3 = 893 g Chapter 1 Problem 1-6 Represent each of the following to three significant figures and express each answer in SI units using an appropriate prefix: (a) x, (b) y, and (c) z. Units Used: 6 MN = 10 N μg = 1 × 10 −6 gm 3 kN = 10 N Given: x = 45320 kN ( y = 568 × 10 5 ) mm z = 0.00563 mg Solution: ( a) x = 45.3 MN ( b) y = 56.8 km ( c) z = 5.63 μg Problem 1-7 Evaluate ( a⋅ b)/c to three significant figures and express the answer in SI units using an appropriate prefix. Units Used: μm = 10 −6 m Given: a = ( 204 mm) 4 © 2007 R. C. Hibbeler. Published by Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved. This material is protected under all copyright laws as they currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.

Engineering Mechanics - Statics Chapter 1 b = ( 0.00457 kg) c = ( 34.6 N) Solution: l = ab l = 26.945 c μm⋅ kg N Problem 1-8 If a car is traveling at speed v, determine its speed in kilometers per hour and meters per second. Given: v = 55 mi hr Solution: v = 88.514 km hr m v = 24.6 s Problem 1-9 Convert: (a) S1 to N ⋅ m , (b) S2 to kN/m3, (c) S3 to mm/s. Express the result to three significant figures. Use an appropriate prefix. Units Used: 3 kN = 10 N Given: S1 = 200g lb⋅ ft S2 = 350g lb ft S3 = 8 3 ft hr 5 © 2007 R. C. Hibbeler. Published by Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved. This material is protected under all copyright laws as they currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher.

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