Statics Ch1
Engineering Mechanics - Statics
Chapter 1
Problem 1-1 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 Units Used: μN = 10
−6
N km
μkm = 10
9
−6
Gs = 10 s ks = 10 s mN = 10 ms = 10 Solution: ( a) m 3m = 1 × 10 ms s m km =1 ms s ( b) μkm = 1 × 10 μkm = 1 mm ( c) ks 9 s = 1 × 10 mg kg ks Gs =1 mg kg ( d) km⋅ μN = 1 × 10
−3 −3 −3 3
N s
−3
m
mN
km⋅ μN = 1 mm⋅ N
1
© 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 1-2 Wood has a density d. What is its density expressed in SI units? Units Used: Mg = 1000 kg Given: d = 4.70 Solution: 1slug = 14.594 kg d = 2.42 Mg m
3
slug ft
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: ( a) Mg 10 kg 10 kg Gg = = = −3 mm m m 10 m Mg Gg = mm m mN μs mN μs ( c) 10
−3 −6 3 6
( b)
=
N s
=
10 =
10 N kN = s s
3
kN s
μm⋅ Mg = 10
(
−6
m 10 kg = 10
)(
3
)
−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: Mg 10 kg 10 kg Gg = = = −3 ms s s 10 s Mg Gg = ms
Chapter 1
Problem 1-1 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 Units Used: μN = 10
−6
N km
μkm = 10
9
−6
Gs = 10 s ks = 10 s mN = 10 ms = 10 Solution: ( a) m 3m = 1 × 10 ms s m km =1 ms s ( b) μkm = 1 × 10 μkm = 1 mm ( c) ks 9 s = 1 × 10 mg kg ks Gs =1 mg kg ( d) km⋅ μN = 1 × 10
−3 −3 −3 3
N s
−3
m
mN
km⋅ μN = 1 mm⋅ N
1
© 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 1-2 Wood has a density d. What is its density expressed in SI units? Units Used: Mg = 1000 kg Given: d = 4.70 Solution: 1slug = 14.594 kg d = 2.42 Mg m
3
slug ft
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: ( a) Mg 10 kg 10 kg Gg = = = −3 mm m m 10 m Mg Gg = mm m mN μs mN μs ( c) 10
−3 −6 3 6
( b)
=
N s
=
10 =
10 N kN = s s
3
kN s
μm⋅ Mg = 10
(
−6
m 10 kg = 10
)(
3
)
−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: Mg 10 kg 10 kg Gg = = = −3 ms s s 10 s Mg Gg = ms