2-21: Determine the design angle θ (0°≤ θ ≤ 90°)for member AB so that the 400-lb horizontal force

In this video, we determine the design angle theta (0–90 deg) for member AB so that a 400-lb horizontal force has a 500-lb component directed from A toward C (given phi = 40 deg). We also report the component of the force along member AB. The solution is presented using a clean triangle-of-forces approach with the Law of Sines, without resolving into x–y components.

What you’ll learn:

How to construct the force triangle for non-perpendicular members

How to apply the Law of Sines to find unknown directions and magnitudes

Direction checks and common pitfalls to avoid

Timestamps:
00:00 Problem statement and sketch
00:40 Force-triangle setup and angle definitions
01:30 Applying the Law of Sines
03:30 Interpreting the final results and direction check

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Hashtags:
#CIVILSolved #Statics #LawOfSines #VectorDecomposition #EngineeringMechanics #CivilEngineering #Hibbeler

Видео 2-21: Determine the design angle θ (0°≤ θ ≤ 90°)for member AB so that the 400-lb horizontal force канала CIVIL Solved