# hibbeler - statics - 11 - ed - instructor - solution - manual

(Parte 1 de 2)

Engineering Mechanics - StaticsChapter 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) kmμN⋅

mg 1

Gskg =

© 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 - StaticsChapter 1

Problem 1-2

Wood has a density d. What is its density expressed in SI units? Units Used:

Mg 1000 kg= Given:

Solution: 1slug 14.594 kg=

Problem 1-3

Represent each of the following combinations of units in the correct SI form using an appropriate prefix:

(a) Mg/m (b) mN/μs (c) μmMg⋅ Solution:

a() Mgmm

Mgmm Ggm =

b() mN μs μs kNs =

© 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 - StaticsChapter 1

Problem 1-4

Represent each of the following combinations of units in the correct SI form: (a) Mg/ms, (b) N/m, (c) mN/(kgμs⋅).

Solution:

a() Mgms

Mgms Ggs =

Nmm kNm =

Problem 1-5

Represent each of the following with SI units having an appropriate prefix: (a) S1, (b) S2, (c) S3.

Units Used:

© 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 - StaticsChapter 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:

Problem 1-7

Evaluate (ab⋅)/c to three significant figures and express the answer in SI units using an appropriate prefix.

Units Used:

© 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 - StaticsChapter 1

Problem 1-8

If a car is traveling at speed v, determine its speed in kilometers per hour and meters per second. Given:

Solution:

Problem 1-9

Convert: (a) S1 to Nm⋅ , (b) S2 to kN/m3, (c) S3 to m/s. Express the result to three significant figures. Use an appropriate prefix.

Units Used:

© 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 - StaticsChapter 1

Problem 1-10

What is the weight in newtons of an object that has a mass of: (a) m1, (b) m2, (c) m3? Express the result to three significant figures. Use an appropriate prefix.

Units Used:

© 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 - StaticsChapter 1

Problem 1-1

If an object has mass m, determine its mass in kilograms.

Solution:

Problem 1-12

The specific weight (wt./vol.) of brass is ρ. Determine its density (mass/vol.) in SI units. Use an appropriate prefix.

Units Used:

Mg 103 kg= Given:

Solution:

Problem 1-13

A concrete column has diameter d and length L. If the density (mass/volume) of concrete is ρ, determine the weight of the column in pounds.

Units Used: Mg 103 kg= kip 103 lb= Given:

© 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 - StaticsChapter 1

Solution:

Problem 1-14

The density (mass/volume) of aluminum is ρ. Determine its density in SI units. Use an appropriate prefix.

Units Used:

Mg 1000 kg= Given:

Solution:

Problem 1-15

Example

© 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 - StaticsChapter 1

Problem 1-16

Two particles have masses m1 and m2, respectively. If they are a distance d apart, determine the force of gravity acting between them. Compare this result with the weight of each particle.

Units Used:

Solution:

Problem 1-17

between two identical spheres that are touching each other. The mass of each sphere is m1, and the radius is r.

Units Used:

© 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 - StaticsChapter 1

Solution:

F 4.96 μN= Since the force F is measured in Newtons, then the equation is dimensionally homogeneous.

Problem 1-18

Evaluate each of the following to three significant figures and express each answer in SI units using an appropriate prefix: (a) x, (b) y, (c) z.

Units Used:

© 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 - StaticsChapter 1

Problem 1-19

Units Used:

Problem 1-20

Units Used:

© 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 - StaticsChapter 1

Given:

© 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 - StaticsChapter 2

Problem 2-1

Determine the magnitude of the resultant force FR = F1 + F2 and its direction, measured counterclockwise from the positive x axis.

θ asin F2 sin ψ()

Problem 2-2

Determine the magnitude of the resultant force and its direction measured counterclockwise from the positive x axis.

Given:

© 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 - StaticsChapter 2

Problem 2-3

Determine the magnitude of the resultant force FR = F1 + F2 and its direction, measured counterclockwise from the positive x axis.

Given:

Solution:

β asin F1

© 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 - StaticsChapter 2

Problem 2-4

Determine the magnitude of the resultant force FR = F1 + F2 and its direction, measured counterclockwise from the positive u axis.

Given:

Problem 2-5

Resolve the force F1 into components acting along the u and v axes and determine the magnitudes of the components.

Given:

© 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 - StaticsChapter 2

Solution:

F1v F1 sin α()

Problem 2-6

Resolve the force F2 into components acting along the u and v axes and determine the magnitudes of the components.

Given:

Solution:

F2u F2 sin β()

© 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 - StaticsChapter 2

Problem 2-7

Determine the magnitude of the resultant force FR = F1 + F2 and its direction measured counterclockwise from the positive u axis.

Given:

Problem 2-8

Resolve the force F1 into components acting along the u and v axes and determine the components. 17

© 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 - StaticsChapter 2

Solution:

Problem 2-9

Resolve the force F2 into components acting along the u and v axes and determine the components.

Given:

© 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 - StaticsChapter 2

Problem 2-10

Determine the components of the F force acting along the u and v axes. Given:

Solution:

© 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 - StaticsChapter 2

Fv F sin θ1()

Problem 2-1

The force F acts on the gear tooth. Resolve this force into two components acting along the lines a and b.

Given:

Solution:

Fa F sin θ1()

Fb F sin θ2()

Problem 2-12

The component of force F acting along line a is required to be Fa. Determine the magnitude of F and its component along line b.

© 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 - StaticsChapter 2

Given:

Solution:

Fb Fa sin θ2()

Problem 2-13

A resultant force F is necessary to hold the ballon in place. Resolve this force into components along the tether lines AB and AC, and compute the magnitude of each component.

Given:

© 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 - StaticsChapter 2

FAB F sin θ1()

FAC F sin θ2()

Problem 2-14

The post is to be pulled out of the ground using two ropes A and B. Rope A is subjected to force F1 and is directed at angle θ1 from the horizontal. If the resultant force acting on the post is to be

FR, vertically upward, determine the force T in rope B and the corresponding angle θ.

Given:

Solution:

© 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 - StaticsChapter 2

Problem 2-15

Resolve the force F1 into components acting along the u and v axes and determine the magnitudes of the components.

Given:

Solution:

Problem 2-16

Resolve the force F2 into components acting along the u and v axes and determine the magnitudes of the components.

Given:

© 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 - StaticsChapter 2

Solution:

Problem 2-17

Determine the magnitude and direction of the resultant force FR. Express the result in terms of the magnitudes of the components F1 and F2 and the angle φ.

Solution:

© 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 - StaticsChapter 2

Problem 2-18

If the tension in the cable is F1, determine the magnitude and direction of the resultant force acting on the pulley. This angle defines the same angle θ of line AB on the tailboard block.

Given:

Solution:

θ 90 deg asin FR

© 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 - StaticsChapter 2

Problem 2-19

The riveted bracket supports two forces. Determine the angle θ so that the resultant force is directed along the negative x axis. What is the magnitude of this resultant force?

Given:

Problem 2-20

The plate is subjected to the forces acting on members A and B as shown. Determine the magnitude of the resultant of these forces and its direction measured clockwise from the positive x axis.

(Parte 1 de 2)