So, we are going to start with the method of physics and physical sciences. Thank you for joining. Without further ado, let's get started. Alright, so in today's lesson, we're going to be focusing on the different types of forces acting at an angle or a force in particular or forces acting at an angle. Right? So, we are given the scenario. We can see that this box is being pulled at an angle of 20 degrees in Newton's with if for a hundred Newton's right and it experiences a frictional force by this 40 Newton's in the opposite direction. Right? Okay. Now, without further ado, I just want us to break this scenario down in terms of its components, right? With our components, usually we speak on a Cartesian plane and we focus on the y-axis and the x-axis, right? Okay. And before we do that, I would just like us to maybe draw a free body diagram to show all the forces acting in this object over here. Now, we already know that there is a normal force, which is applied by the surface over here and the force of gravity being applied by the earth on the object, pulling it down towards the center of itself. Right? So we have our normal force, our gravitational force, these lines are equal or supposed to be equal because this object is neither moving up or down. Right? So we have this over here. Right? Okay. We also have our frictional force. Right? And the opposite direction towards the intended motion of the object. And our applied force in this case is moving. Let me just, you know, it is moving in that direction over the right? Okay. So I'm just going to write these down to label them as our normal force, our force of gravity, our frictional force, our kinetic friction, and lastly our applied force, which is F a or F a p p. Right? Whatever way you would like to designate it. Okay. Now, if we or I were to do something like draw a line to close it over here, remember we have a 20 degrees angle. Right? And therefore this would form a 90 degrees over here. Right? You can see that properly. This would form a 90 degrees over here. Right? We are looking for two components, which might be broken down in terms of this particular plane over here. And this horizontal plane over here. Right? Now in your xxes and your yxes, this is your y, this is your x, right? Now, remember the soccer tour. Right? Which is sign is the opposite side over the hypotenuse and the cause is the adjacent side over the hypotenuse and your 10 is the opposite side over the adjacent side. Right? Now in this case, we always focus on this angle over here. Now the opposite side to this angle would be this over here. And the hypotenuse, which is always opposite the 90 degrees would be this side over here. Right? And we are given this force, which is a hundred new chains. Okay? And we are looking for this one. Would you agree with me that this side and this side are indeed parallel to each other. And therefore would equate to one another. Okay? So we're going to do that. And therefore this would be our y over here. And this adjacent side opposite. Therefore adjacent over hypotenuse would be our x over here. Okay? Now to write the formulas of these, right? Let's start off with the sign. The sign of 20 degrees. This one is equal to this side over here over the hypotenuse side. And this side is y divided by 100. Right? Now if we can cross multiply these, right? We're going to have our y equaling a hundred, the sign of 20 degrees. Right? Now this y over here, we can therefore decide to call it our f y, right? Which ever way you prefer. Right? Okay, sorry if you didn't catch that, but I hope you heard me. And then coming into the course now with regards to this x in the horizontal plane. Right? We know that our course 20 degrees is always the adjacent side over our hypotenuse side. And the adjacent side in this case is our x divided by a hundred. We're going to do the same by cross multiplying. And we are going to have our x equaling the hundred new chance and the course of 20 degrees. Right? We can still do the same here and designate this as f x. Right? Okay? Now if we now decide to draw our free body diagram in terms of our vertical and horizontal components. Now we've broken this line over here into different components. Right? Right? Into different components. They are now moving upwardly as this force is being applied, but the object is also moving in the horizontal towards the left. So it is basically, you know, doing that. Okay. Now if we were to draw our components and just going to draw it here, I hope you can see that properly. Okay. Now in this case, I know, please listen to me very carefully. We're going to draw our normal force. Right? As well as our force of gravity. Okay? And we also have our fictional force. Right? But now remember, we still have the horizontal component moving towards that direction, as well as the vertical component moving in that direction. Right? Let's make this bigger so that it can accommodate more than one kind of force in the same direction. Okay. Now we're just going to draw another force slightly next to the other. Right? And then we also have this other one. Right? Okay. Now if we were to write these down, we're going to say this is our fictional force. This is our force of gravity. This is our force applied. In the horizontal, right? This would be our force applied in the vertical, right? And this would just be our normal force. Okay. But whichever way you would like to draw this, my advice would be on this sort of like pushing way you focus on angles, and no forces at an angle, right? Being pulled pushed in an angle, resort to this type of a free body diagram and not this vertical and horizontal components, because it might be confusing. Sometimes you would need to write your keywords on the side, like we usually do so that you can show the marker, how to interpret what you drew or your road. But these two components equate to only one mark. You're not going to get separate marks for drawing these two lines. They're going to be equivalent to the weight or the mark of this force over here. Right? Please do not get it confused. And that's it for me today. Thank you for watching. I hope you enjoyed this type of content. If you would like to see more videos on Newton's laws, as well as other topics and physical sciences and mathematics, please give this video a thumbs up and do not forget to like, comment, share and subscribe. For me to you, don't go.