HTML said:
that's where I'm confused because of the angle in the x direction there is fn and fg and fa but at a 10 degree angle and in the y direction there is fs and fa at a angle so where does the 10 degrees go do i need to split the fa into its x and y components
I see that
@haruspex replied to this previously, but I will add my 2 cents worth.
As I stated previously, a Free Body Diagram, commonly abbreviated as "fbd",will help you solve the problem addressed in this thread. In general, FBDs are extremely useful and often necessary to solve statics and dynamics problems in physics and engineering. Here is a
link to the Wikipedia page on FBDs.
Here is an FBD for your problem.
The vectors are not drawn to scale and the angle, θ, is not 10° .
F
S is the force of static friction.
F
N is the Normal force (exerted on the box by the supporting horizontal surface).
W is the weight of the box, what you referred to as fg in post # 16.
F
A is the applied force. The inset in the above figure shows F
A broken down into its horizontal (x) and vertical (y) components.
Some general comments:
Judging by some of your posts in this thread, you seem to be hunting around for some equation or formula which will allow you to plug in some numbers and get an answer which will satisfy your instructor and/or match some answer key. This approach is not likely to lead to much of an understanding of physics.
Use definitions, physical principles and fundamental laws to analyse the situation. Work from there to relate quantities you are given to the quantities asked for.