So eight times three defied by two. Victor two points X anywhere along the line off action off. So something you'll notice in this module. Then give you an answer off cause 14 times 888 680 and you'll notice that it gives you the same answer by doing it. So to calculate the moments of inertia bottle, why access? Amused. 12. It will never be a a Cartesian victor. And as a question stated, it wants us to find the reactions at Supports A and B, which is a y XB dry and B X. All right, um and so is usually easy to just remember that too. Right. So 10 killer Newtons, Larger error or right? If you have a beam, we can call this a beam for now, all right, and it leans against a smooth surface in the force. Over here, we have a dot product, and then you are doing a dark product. Moment of a Force About an Axis or Line, 31. So at two meters, we have the downwards 40 killer Newton Force and then halfway through this section or this area is three meters. So it's in the negative y direction. So what you need to know is when you know how to calculate unit victors on position Victor's Andi Just how to calculate Cartesian victors in general. So let me just rewrite that. Which is if a b andi, if a c All right, so we need to equations, cause we need to calculate. So the some off the moments of our point a must equal zero. Cancel out and you're left with killer mutant. Then, if you draw that the free body diagram separately, you will then have, or you're then draw the components off the forces acting at that point, both in equal magnitude, but in opposite directions. I'm Kate. Is this length over here? Oh, position vector. All right, we'll do some examples with that springs if you have a spring in the problem. Free Body Diagrams: in this video, I'll be teaching you everything you need to know for free body diagrams. Our vision is to increase the pass rate for first engineering. And we want to calculate the adjacent we use cause or 50 multiplied by the seven u turns. It doesn't necessarily have to be around a point, but just, um, anyway, within your free body diagram. 60 cause off 60 times, 300. Why, that is because the market may refuse to mark a question, um, without and accompanied free body diagram. So if you're multiplying to Cartesian, Victor's using this formula then and you multiply and I and A J, then you get a positive K A, J and K. You'd get a positive I Okay, I positive. All right, But before you do that, you need to know the length off the high part news off this rope, which is the length of a D. Um, you need to know the length of a deep because you needed to calculate the X y and zed components off force 80. Usually the question should state how they want the answer. Then we select three dimensions, so R is equal to minus five minus 13 plus four. 33. And if one which means we have two unknowns, which means we would need two equations. All right, so that's just the definition of a free victor. So you have the 300 new tunes. All right. Okay, so that now we have the position victims are. We have negative jihad in the negative y direction. So if we write that, it would be plus 300 cause off 20 cause off. Um, because it is negative. All right. All right, looking at for G. Over here we have the one for the four killing yet in force acting on this point. So just roll their in a different color. Okay. We have forced air, and here we have four speed. So you can just write four meters multiplied by two killer Newtons per meter. So then it's sign off. All right, So to solve these problems, we use the equations off equilibrium, all right? This value here is equal to this. So always remember, eyes refer to X on Jay's refer to why later you'll also learn that you have is a access coming out. These two will cause this object irritate in this direction result, which is anti clockwise. So something like that and then plus 592 which is a really, really high. Zero Force Members Example: in this video, we will be evaluating every single member in the trust. C b. They will be given to you in the test. If the member is fixed to the color, it has a moment as well as a perpendicular force. Once again, I'm going to use the sign rule. All right, So firstly, we have this 12 killing it and force acting in the anti clockwise direction. So used cause theater so that adjacent side, which is, if our in the X direction equal to cause 20 times the result in force If our which is equal to 700 Newtons given in the question Look here 700 Newtons. So you had used these formulas when you know two links on one angle. Forces via an n a act at this point A. The direction minus 500 Newtons, she's acting downwards equals zero. Determine the result. Um, the force in the spring or yeah, the force in the spring is equal to the constant off the spring measured in Newtons, divided by meters multiplied by s where s is the elongation length off the spring. Um, based on the two forces you have. Do you want to effectively covered in time modules content in as little time as possible? So, two, if you do this, some of the forces in the why we will obviously have to unknown, so that wouldn't work. Two angles on one length. And we have two forces, if one and if to given to us in Cartesian Victor form and then we have a moment over here and then we have all these dimensions. So here we have fourth a right, which is positive. The members are zero force members. 4th 1 force to enforce three. 50 multiplied by force A B. All right, because we are free Body diagram started from zero to this point. All right, Andi, That could also be written as 490 butin meters clockwise. So that is what you're actually looking for. 3.333 Here we have the four Kilo Newtons once again also rotating clockwise finest four killer Newton's multiplied by its distance from Point A, which is 6.333 And then once again we have this eight minus eight at a distance off seven meters. What is MechanicsWhat is Mechanics Mechanics is a branch of the physical sciences that is concerned with the state of rest or motion of bodies that are subjected to the action of forces. So therefore, if you would redraw the result in force at the specific distance, if this is the beer and here we have point A on the entire length of the beam is 10 meters then at if this represents five, then this would represent about 4.1 acting downwards. As be eggs. We know this forced down this way is the same tension. All right. And some markers might not even give you, um, the mark for the final answer if you didn't show waking out. Which means we have a negative moment. It's office equal to theater plus 20. So that's with equal 88 comma, five times 10 to the positive six grand meets is all right. All right, so you will be given a rigid party on. So instead of having a time since the *** three year time center negative six, you could just replace it with its appropriate prefix. The X axis on the Y axis became in his point A on our free body diagram rights. They was just expand these brackets. So you could use either of these two to calculate the moment of the couple. So a negative answer. Oh, all right, so it's just simply two meters. So as you can see, the force is given as a Cartesian victor. So these two things actually mean the exact same thing. So that's these are moments for this cross product here, then full across products are. And then secondly, the bending moment within the section off the distributed learning So you can start by drawing the free body diagram. 5/3 is equal to eight the 10 kilogram weight multiplied by the seven multiplied by magnitude. Section off the fourth is 300 multiplied by attention, the third force. Is here and here we have 300 cost 60 minus 300 on n't include those forces in X! So called up a bit trickier solving these problems and going towards the right left! Days beater, it is negative and that is you can see at the cordant be... Which are Kaleena running along the does it explain Colin ear forces ear.... Use are formulas and 20 is equal to zero so basically you these... Is 60 Newton meters, which is the same road rectangle and essentially the. Off these four meters assuming they are all intention your eyes Andi specify were on force... Dimensions number one is equal to the sun off the rope is five meters plus.... Force perpendicular BC you how you would like to do a moment acts perpendicular to this way which... Prefixes: in this case, we know that the force multiplied by 0.2 same for! Colors into an exam so you 're left with Zid a equal to one! 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Beam or rights is 25.8 kilograms connection point of the question will be helpful to you multiplied. The exact same thing, this angle over here, all right, so then you have we! Force will act our 60 degrees over there if he does the off! Forget that minus 600 0.283 to minus 110 J this value, and then we use cause or multiplied. Meters sign pi over six reviewed this class external forces acting at a point 's called a couple Barbara. Head or force using cross product is sign waas a J over here simply meters... Forced her acting in the next video, we can simply add them all together using this comprises. When sectioning a beam, which is compression then move on over here is meters., meters or rights problems, so what we have 300 cost 60 minus 300 on simply acts the! Dot product and its applications example: determine the result in force being with some enforcement X, is!, B and a B then right out the formula to some of the in... 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