Free Body Diagram from Space Diagram

In summary, the conversation discusses converting a space diagram into a free body diagram and determining the correct forces to include. The purpose of the wheel at point J is to prevent any horizontal reaction, while the pin at point E supports only a vertical force. The direction of the vectors must be carefully calculated, and it is noted that there is no horizontal force at point E. The conversation also emphasizes the importance of correctly identifying all forces in a free body diagram.
  • #1
steve2510
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Homework Statement



http://desmond.imageshack.us/Himg804/scaled.php?server=804&filename=img1.gif&res=medium
I have to change this space diagram into a free body diagram and i am struggling

Homework Equations





The Attempt at a Solution



I have put a reaction force in the the x direction at point J and a rection force in the y direction at point j aswell. I have also done the same at Point E. I don't no if this is right? I'm not sure if there is meant to be a moment force somewhere? Could anyone help?
 
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  • #2
The purpose of the wheel at J is to prevent any horizontal reaction at that point, so the only external force there is vertical. Now at E, the pin will support both a horizontal and vertical force, but no moment, so forces in both directions there are correct.
 
  • #3
thanks very much !
 
  • #4
Are you only asked for a free body diagram?

Because, it's also important you get the vectors direction right, and this you can normally only do with calculations.

While in principle pin E supports both a horizontal and a vertical force, you can see that no horizontal force is applied at the structure. So there is no horizontal force there at E.

Also, you can see that both vertical reactions at J and E will point up, because all the other forces in between them point down.
 
  • #5


I would like to clarify that a free body diagram represents a simplified version of a physical system, in which the external forces acting on the system are shown as vectors. It is used to analyze the forces acting on a body and to determine its motion or equilibrium state. In contrast, a space diagram is a graphical representation of the physical system, showing its components and their relative positions.

To convert a space diagram into a free body diagram, you first need to identify all the external forces acting on the system. In this case, it appears that there are two reaction forces at points J and E. These reaction forces are equal in magnitude and opposite in direction to the forces exerted by the supports at these points. Therefore, your placement of reaction forces at points J and E is correct.

Additionally, you may also need to consider any other external forces acting on the system, such as gravitational force or applied forces. If there are no other external forces, then your free body diagram is complete.

Regarding the concern about a moment force, it is not necessary to include it in a free body diagram unless it is explicitly mentioned in the problem or if the system is in rotational equilibrium. In this case, it does not appear that there is a moment force acting on the system.

I hope this helps clarify the concept of a free body diagram and how to convert a space diagram into one. If you are still struggling, I suggest seeking assistance from your teacher or a tutor.
 

FAQ: Free Body Diagram from Space Diagram

What is a free body diagram?

A free body diagram is a visual representation used to analyze the forces acting on an object. It shows all the forces acting on the object and their direction, but not their magnitude.

How is a free body diagram different from a space diagram?

A free body diagram only shows the forces acting on an object, while a space diagram shows the object's motion and position in space. A free body diagram is a simplified version of a space diagram.

Why is it important to use a free body diagram when studying forces?

Free body diagrams help to break down complex situations into simpler parts, making it easier to analyze and understand the forces acting on an object. It also helps to identify any missing or incorrect forces in a given scenario.

What are the key elements of a free body diagram?

The key elements of a free body diagram include the object being analyzed, all the forces acting on the object, and arrows indicating the direction of each force. It is also important to label the forces and use a consistent scale to represent their relative sizes.

Can a free body diagram be used for objects in motion?

Yes, a free body diagram can be used for objects in motion. It helps to analyze the forces causing the object to move and to determine the direction of the object's acceleration. However, it is important to note that a free body diagram only represents a snapshot of the object's motion at a specific moment in time.

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