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Engineering and Tech / Engineering Mechanics: Statics 14 / Chapter 2 / Problem 2-21

Engineering Mechanics: Statics | 14th Edition | ISBN: 9780133918922 | Authors: Russell C. Hibbeler

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Determine the magnitude and direction of the

Chapter 2, Problem 2-21

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QUESTION:

Determine the magnitude and direction of the resultant force, \(F_R\) measured counterclockwise from the positive x axis. Solve the problem by first finding the resultant \(F’ = F_1 + F_2\) and then forming \(F_R = F’ + F_3\).

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QUESTION:

Determine the magnitude and direction of the resultant force, \(F_R\) measured counterclockwise from the positive x axis. Solve the problem by first finding the resultant \(F’ = F_1 + F_2\) and then forming \(F_R = F’ + F_3\).

ANSWER:

Step 1 of 5

To solve for , solve the horizontal component and vertical component by summing up the components of and The components can be solved by first getting their corresponding angles with respect to the axis.

The angle of force with respect to the negative -axis is that came from subtracting and from the angle between negative -axis and negative -axis which is .

The angle of force with respect to the positive -axis is that came from subtracting the angle between positive -axis and negative -axis which is from the angle.

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