Engineering Board Exam Reviewer · Engineering Mechanics · hard

A vertical load of 675 N hangs from joint A, which is supported by two members: AB, horizontal, and AC, inclined at 60° above the horizontal. Using the method of joints, what is the force in member AB?

  1. 1169.13
  2. 584.57
  3. 779.42
  4. 389.71

Answer

D. 389.71

Solution

First, Fy = 0 at joint A gives F(AC) = 675 / (60°) = 779.42 N. Then Fx = 0: F(AB) = F(AC) · (60°) = 779.42 × (60°) = 389.71 N.

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