https://r2.erweima.ai/mathbot/image/1727106895341ur2pfmpt.pdf

The document you uploaded contains exercises related to mechanics, specifically determining the reactions \( R_A \) and \( R_B \) at the supports of loaded beams. These types of problems typically require the application of static equilibrium equations, which are:

1. \(\sum F_x = 0\) (sum of horizontal forces)
2. \(\sum F_y = 0\) (sum of vertical forces)
3. \(\sum M = 0\) (sum of moments about a point)

Here’s how we typically approach such problems:

1. **Identify the forces and reactions**: Determine the types of supports (e.g., pinned, roller) and the external loads acting on the beam.
   
2. **Draw a Free Body Diagram (FBD)**: This helps to visualize all the forces acting on the beam.

3. **Set up equilibrium equations**: Use the static equilibrium equations to solve for the unknown reactions at the supports.

Do you want help solving one of the specific exercises from the list? You can provide more details or clarify which one you'd like assistance with.

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Here are five relevant follow-up questions:
1. Do you have the specific diagrams for the beams in the exercises?
2. What type of loads are applied on the beams (e.g., point loads, distributed loads)?
3. Are there any angles mentioned for inclined forces?
4. Are the beams simply supported or cantilevered?
5. Do the exercises involve internal moments or just reactions?

**Tip**: When dealing with inclined forces, decompose them into their horizontal and vertical components before applying the equilibrium equations.

Determine the reactions RA and RB at the supports of loaded beams as per the figures provided in the document. Apply static equilibrium equations.

Solve beam reaction problems by applying static equilibrium equations. Learn how to calculate the reactions at supports RA and RB for loaded beams using force and moment balance equations. This is a core problem in statics, typically covered in university-level engineering mechanics courses.

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