Concept explainers
Determine the angle θ between the force and the line AO.
Prob. F2-25
Answer to Problem 25FP
The angle
Explanation of Solution
Given:
The force in the form of Cartesian vector,
Explanation:
Draw the free body diagram of forces F and line AO as in Figure (1).
Let us establish a position vector for points A and O. The coordinate points
Express the position vector r in the direction of AO using Figure (1).
Here, the coordinates of A and O are
Express the magnitude of the direction of AO.
Express the force in Cartesian vector form.
Express the magnitude of the direction of F.
Determine the unit vector of AO.
Apply the dot product to find the angle between F and line AO.
Conclusion:
Substitute 1 m for
Substitute 1 m for
Substitute
Substitute
Thus, the angle
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