Applied Statics and Strength of Materials (6th Edition)
Applied Statics and Strength of Materials (6th Edition)
6th Edition
ISBN: 9780133840544
Author: George F. Limbrunner, Craig D'Allaird, Leonard Spiegel
Publisher: PEARSON
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Chapter 3, Problem 3.1P

through 3.3 Determine the magnitude, direction, and sense of the resultant for the coplanar concurrent force systems shown Use the parallelogram law. Also sketch the force triangle.

Chapter 3, Problem 3.1P, through 3.3 Determine the magnitude, direction, and sense of the resultant for the coplanar , example  1 /Chapter 3, Problem 3.1P, through 3.3 Determine the magnitude, direction, and sense of the resultant for the coplanar , example  2

Expert Solution & Answer
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To determine

Determine the magnitude,direction and resultant coplanar concurrent force.

Explanation of Solution

Given:

Applied Statics and Strength of Materials (6th Edition), Chapter 3, Problem 3.1P , additional homework tip  1

Concept Used:

Parallelogram law of forces. Constructing a parallelogram of OABC with AB is parallel to side OC and represents of 45lb and OA is parallel to OC represents the force 25lb .

Calculation:

  AOC=6010=50

Applied Statics and Strength of Materials (6th Edition), Chapter 3, Problem 3.1P , additional homework tip  2

Angle AOC and Angle OAB are supplementary

  OAB=180AOCOAB=18050OAB=130

By applying the law of cosine rule R can be determined

  R2=P12+P222P1P2cosAR2=252+4522(25)(45)cos130R=64LB

By taking the law of sine rule

  R/sinO=AB/sinOsinO=ABsinA/RO=sin1(45sin 130/64)O=32.6

  θ=60AOBθ=6032.6θ=27.4

Conclusion:

Therefore, the magnitude and resultant coplanar as follows

  θ=27.4R=64lb

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Chapter 3 Solutions

Applied Statics and Strength of Materials (6th Edition)

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