PEARSON ETEXT ENGINEERING MECH & STATS
PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
bartleby

Concept explainers

bartleby

Videos

Textbook Question
Book Icon
Chapter 3, Problem 1FP

The crate has a weight of 550 lb. Determine the force in each supporting cable.

Chapter 3, Problem 1FP, The crate has a weight of 550 lb. Determine the force in each supporting cable.

Expert Solution & Answer
Check Mark
To determine

The force in each supporting cable.

Answer to Problem 1FP

The force in cable AB (FAB) is 478lb_.

The force in cable AC (FAC) is 518lb_.

Explanation of Solution

Given information:

The weight of a crate is (W) is 550 lb.

Show the free body diagram of the cable as in Figure 1.

PEARSON ETEXT ENGINEERING MECH & STATS, Chapter 3, Problem 1FP

Determine the force of the members AB and AC by applying the Equation of equilibrium.

Along horizontal direction:

Fx=0FACcosθACFABcosθAB=0 (I)

Here, the angle of force AC is θAC and the angle of force AB is θAB.

Along the vertical direction:

Fy=0FACsinθAC+FABsinθABW=0 (II)

Conclusion:

Substitute (45) for cosθAC and 30° for θAB in Equation (I).

FAC(45)FABcos30°=0FAC(45)=0.866FABFAC=(0.866×54)FABFAC=1.0825FAB (III)

Substitute 1.0825FAB for FAC, (35) for sinθAC and 30° for θAB, 550 lb for W in Equation (II).

(1.0825FAB)(35)+FABsin30°550=00.649FAB+0.5FAB=5501.149FAB=550FAB=5501.149

FAB=478lb

Thus, the force in cable AB (FAB) is 478lb_.

Substitute 478 lb for FAB in Equation (III).

FAC=1.0825×478=518lb

Thus, the force in cable AC (FAC) is 518lb_.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!
04:29
Students have asked these similar questions
The crate has a weight of 550 lb. Determine the force in each supporting cable. D
The bucket weighs 15 Ibs. determine the forces in the cables. 2.5 ft- 4.5 ft 3 ft 1,5 ft 3 ft -1.5 ft-
Determine the force in each cable used to support the 40-lb crate

Chapter 3 Solutions

PEARSON ETEXT ENGINEERING MECH & STATS

Additional Engineering Textbook Solutions

Find more solutions based on key concepts
Knowledge Booster
Background pattern image
Mechanical Engineering
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Text book image
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Text book image
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Text book image
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Text book image
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Text book image
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Text book image
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY
Engineering Basics - Statics & Forces in Equilibrium; Author: Solid Solutions - Professional Design Solutions;https://www.youtube.com/watch?v=dQBvQ2hJZFg;License: Standard YouTube License, CC-BY