What are the components of F and how can vectors be used to determine them?

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The discussion revolves around determining the components of force F acting along rod AC and perpendicular to it, with a focus on finding the coordinates of point B, which is located 3 m along the rod from point C. Participants emphasize using geometric relationships and vector equations to solve for B's coordinates, particularly through similar triangles and Pythagorean theorem applications. The coordinates of points A and C are provided, and various methods, including dropping perpendiculars and using vector equations, are suggested to find the necessary components. The conversation highlights the efficiency of vector methods over geometric approaches for solving the problem. Ultimately, the consensus is that understanding geometry and vectors is crucial for accurately determining the components of force F.
  • #31
But i don't know if my professor knows that the students know or remember similar triangles. I'm curious to know how is he going to solve this problem during class.
 
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  • #32
sevag00 said:
But i don't know if my professor knows that the students know or remember similar triangles. I'm curious to know how is he going to solve this problem during class.

Everyone is expected to remember their geometry :smile:

I would bet he'll use vectors. To complete the problem without vectors would be very taxing.

Finding the location of point B using geometry is pretty straightforward. When the force F is added in and you start looking for components parallel to and perpendicular to the pipe, the geometry soon becomes tedious (although still doable, the amount of effort is just begging for errors to slip in). Vectors will take care of it all in just a few lines!
 

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