What are the names of these "F" arrows in these three diagrams?

[Benjamin_harsh]

Homework Statement

What is the names of this "F" arrows in this three diagrams?

Relevant Equations

What is the names of this "F" arrows in this three diagrams?

What is the names of this "F" arrows in this three diagrams?

 

[haruspex]

Problem Statement: What is the names of this "F" arrows in this three diagrams?
Relevant Equations: What is the names of this "F" arrows in this three diagrams?

View attachment 243532

What is the names of this "F" arrows in this three diagrams?

Where do these diagrams come from? Are they connected with a homework question you have been given? If so, please post the entire question exactly as given to you.

Are you asking only about the item labelled F or about all three: F, F_xand F_y? At a guess, the top left diagram illustrates a force F and its components in the x and y directions.

 

[Benjamin_harsh]

Are they connected with a homework question you have been given? - Not a homework.

I am asking only about the item labelled F .

Third diagram is resultant force. Second diagram is equilibrium. first diagram is confusing?

 

[haruspex]

Are they connected with a homework question you have been given? - Not a homework.

I am asking only about the item labelled F .

Third diagram is resultant force. Second diagram is equilibrium. first diagram is confusing?

In the third diagram, F does not represent the resultant of F_x and F_y. The F in the first diagram would do that, except that the F arrow should be a bit longer.
You can also describe the first diagram as resolving a force F into x and y components. A force is the resultant of its components.

If the second diagram is supposed to show equilibrium then it is confusing to label them as F, F_x and F_y. They are just any three forces that could be in equilibrium. As drawn, they are not, since the vertical height of F_y is clearly more than the vertical height of F.
If you change F to -F and define F_x and F_y as the x and y components of the force F (not shown) then it will illustrate equilibrium.

Edit: the third diagram does not illustrate anything useful I can think of. It looks like a mistake.
Edit 2: on further thoughts, the third diagram would illustrate F_x being the resultant of F and F_y, but then the notation is extremely confusing.

 

[Benjamin_harsh]

F arrow should be a bit longer.

How? Show me in the diagram. I didn't understand bit longer thing.

 

[haruspex]

How? Show me in the diagram. I didn't understand bit longer thing.

Take a copy of the F_x vector and put its base at the tip of the F_y vector. The tip of that copy should coincide with the tip of the resultant of F_x and F_y.

 

[Benjamin_harsh]

Take...and F_y.

Please draw the figure and post it here.

 

[kuruman]

Better to watch this video.

 

[sojsail]

Another way to tell you verbally how to draw the resultant of Fx and Fy (top left fig):

Imagine Fx and Fy being 2 sides of a rectangle. Now add the other 2 sides of the rectangle (each equal length and parallel to Fx and Fy). Now draw a vector that is a diagonal of the rectangle starting from the origin of the xy axes. (I decided it would be easy to take your figure and add to it - turned out to be not so easy - for me.)

One thought I had about the top 2 figures: Cross product? is this the result of applying the right-hand rule? I now doubt that idea because you seem to be just starting to learn about vectors and cross products are more advanced.