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Engineering Mechanics: Statics | 14th Edition | ISBN: 9780133918922 | Authors: Russell C. Hibbeler
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Determine the magnitude and

Chapter 2, Problem 2-74

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QUESTION:

Determine the magnitude and coordinate direction angles of the resultant force, and sketch this vector on the coordinate system.

Questions & Answers

QUESTION:

Determine the magnitude and coordinate direction angles of the resultant force, and sketch this vector on the coordinate system.

ANSWER:

Step 1 of 6

Transform each force to the Cartesian vector which is the and  component of the forces. Note that positive values are those with rightward, forward and upward directions while leftward, backward and downward directions are negative.

Use the free-body diagram to transform each force to Cartesian Form.

Step  2 of 6

 doesn't have any -component since it lies on the -plane

The  and  components of  can be solved by bringing the force to  plane using the  angle and then using the  angle to finally bring it to  and

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