Explanation The free-body diagram is shown in figure 1. The sum of the moments of the forces along AE must be zero. Σ M → A E = 0 λ ^ A E ⋅ ( r → D / A × T → D F ) + λ ^ A E ⋅ ( r → B / A × P → ) = 0 (I) Here, Σ M A E is the sum of the moments of forces along AE, λ ^ A E is the unit vector along AE, T → D F is the tension, r → D / A and r → B / A are position vectors and P → is the weight. Write the expression for λ ^ A E . λ ^ A E = A E → A E (II) Here, A E is the magnitude of the vector A E → . Write the expression of A E → . A E → = ( 480 mm ) i ^ + ( 160 mm ) j ^ − ( 240 mm ) k ^ Find the magnitude of A E → . A E = ( 480 mm ) 2 + ( 160 mm ) 2 + ( − 240 mm ) 2 = 560 mm Substitute [ ( 480 mm ) i ^ + ( 160 mm ) j ^ − ( 240 mm ) k ^ ] for A E → and 560 mm for A E in equation (II) to find λ ^ A E . λ ^ A E = ( 480 mm ) i ^ + ( 160 mm ) j ^ − ( 240 mm ) k ^ 560 mm = 6 i ^ + 2 j ^ − 3 k ^ 7 (III) Write the expressions for the position vectors

Vector Mechanics for Engineers: Statics and Dynamics

12th Edition

ISBN: 9781259977251

Author: BEER

Publisher: MCG

See similar textbooks

Concept explainers

Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial …

Videos

Question

Chapter 4.3, Problem 4.138P

To determine

The tension in the wire when 640 N load is applied at B.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 4.3, Problem 4.137P

Chapter 4.3, Problem 4.139P

Students have asked these similar questions

Show work if any equations or calculations are used. Assuming hole basis, find the shaft and hole dimensions for a sliding fit using a basic hole size of 20mm. Show the max and minimum size for both hole and shaft. Utilize the equations and tables in the appendix.

Show work if any equations or calculations are used. A milling machine is equipped with a 1” diameter end mill. During a facingoperation, the spindle is running at 275 RPM. The depth of cut is 0.04” and linear feed rate is 2” per minute. Find: (a) Cutting speed, (b) Material Removal Rate

L1 = 5.7m, L2 = 1m, L3 = 1.2m, L4 = 1m, L5 = 0.2, L6 = 0.5m, v2 = 4.8m/s. The solutions should include, but not be limited to, the equations used tosolve the problems, the charts used to solve the problems, detailed working,choice of variables, the control volume considered, justification anddiscussion of results etc.If determining the friction factor, the use of both Moody chart and empiricalequations should be used to verify the validity of the value

Chapter 4 Solutions

Vector Mechanics for Engineers: Statics and Dynamics

Ch. 4.1 - Two crates, each of mass 350 kg, are placed as...Ch. 4.1 - A lever AB is hinged at C and attached to a...Ch. 4.1 - A light rod AD is supported by frictionless pegs...Ch. 4.1 - A tension of 20 N is maintained in a tape as it...Ch. 4.1 - A gardener uses a 60 N wheelbarrow to transport a...Ch. 4.1 - The gardener of Prob. 4.1 wishes to transport a...Ch. 4.1 - A 2100-lb tractor is used to lift 900 lb of grave....Ch. 4.1 - For the beam and loading shown, determine (a) the...Ch. 4.1 - A load of lumber of weight W = 25 kN is being...Ch. 4.1 - A load of lumber of weight W = 25 kN is being...

Knowledge Booster

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.

The tension in the wire when 640 N load is applied at B.

Solution Summary: The author explains the tension in the wire when 640N load is applied at B. The sum of the moments of forces along AE must be zero.

Concept explainers

Videos

The tension in the wire when 640 N load is applied at B.

Want to see the full answer?

Chapter 4 Solutions