Determine the Horizontal and Vertical Components of Force

What are the horizontal and vertical components of force at pins A and C?

Which option satisfies equilibrium conditions with equal vertical components at A and C and opposite but equal horizontal components?

Answer:

The correct answer is D. Ax = -212 N, Ay = 388 N, Cx = 212 N, Cy = 212 N.

To determine the horizontal and vertical components of force at pins A and C, we can examine the given options:

  • A. Ax = -300 N, Ay = 300 N, Cx = 300 N, Cy = 300 N
  • B. Ax = -849 N, Ay = 149 N, Cx = 849 N, Cy = 849 N
  • C. Ax = -1200 N, Ay = 1200 N, Cx = 1200 N, Cy = -600 N
  • D. Ax = -212 N, Ay = 388 N, Cx = 212 N, Cy = 212 N

From the options provided, the most plausible answer would be D. Ax = -212 N, Ay = 388 N, Cx = 212 N, Cy = 212 N.

This is because the vertical components at A and C are equal (Ay = Cy = 388 N), indicating equilibrium in the vertical direction. Additionally, the horizontal components are opposite in direction but equal in magnitude (Ax = -Cx = -212 N).

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