Question 2.10: Vector Whose Direction is Specified by Two Points The bar AB...

Engineering Mechanics: Statics

Vector Whose Direction is Specified by Two Points

The bar AB in Fig. 2.29 exerts a 140-N force F on its support at A. The force is parallel to the bar and points toward B. Express F in terms of components.

Strategy
Since we are given the coordinates of points A and fl, we can determine the components of the position vector from A to B. By dividing the position vector by its magnitude, we can obtain a unit vector with the same direction as F. Then by multiplying the unit vector by the magnitude of F, we obtain F in terms of its components.

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