All right. Questions. 30 ah ha sido the spider and her web on orb Weaver. Spider sits in her web that is supported by three radio strands. These real strands of these red lines attached to three different points on I Believe a wall. I assume that the radio strands contribute to supporting the weight of the spider. If the mass of the spider is 5.2 tents and the negative four kilograms and the radio strands were all under the same tension, find the manager of the tension T. This is, ah, representation of the diagram. Perhaps the angles aren't necessary to scale, but the scenario still holds true, so you're given each of these angles. So, for instance, for theater, one of the top left, this art line is what's given to be data one. This art line top two stated to which I'm con calling the state a 123 Just thanks. It'll be easier. Um, with each of their degrees, let me see that the system is in equilibrium. There's no force acting upward or downward or left the rate. So first thing we need to do because we recognize this is a static problem. We'll need to look at the different forces in each direction. So we're leaving my axes ax. And why? So this new we know that if the gravity So the force acting on the spider will be played down again, that's given in the question. So the weight of the spider is the negative direction. I'm gonna look first to see the forces in the wind direction, and from there come well, Look, if we look at the forces in the wider and the extraction, right. So if you look at actually we'll get you to these different points connecting the spider in the wall. So this is our top left here. This is a sinner. You won or throwing top left. So one is top left to his top rate and three is bottom. Okay, so Syria one, our attention acts here, we'll get our parts Are vertical component attention here is going positive. Hurry up! Has scientists. So here it contributes a positive T sign theater one Syria to our top, right. Our attention is here therefore, that this is their angle Then we're contributing are forcing her positive. Why? Direction to be tied? Attention time, science theater, too. And senior three in the bottom. We have a negative component. So is re Streeter. This is theater, and the vertical component of this is a negative. Attention. T sign data three, General. The vertical force, components of tension, vertical force, components of the Web. And each of these different, um, anchor points along the walls through our net force of why acting on the system as a whole, you can be a positive T scientist. A one positive t signed dated, too. A negative attention component to the angles. Dated three. So think of T sign data three. And, of course, the spiders on the web as well. So she contributes to this forest. And of course, it is zero because of the static. So looking at the situation, we're giving mass and were given all of these angles, so we don't need to look at any other component. Um, so we look at our forces, we can rearrange this so that we have tea and itself for attention. So somebody removed the left side of the quick the mg to the right side of the equation. Honest. L's right up. Well, I'm going out for simplicity. so we can collect our sign term attention Term scientist A one plus sign dated too minus sign theater three. All this equals mg mg. Therefore we can solve her attention to be saying that one post signed dated Thio might a scientist a three, all that is under the MG again him was given All the angles were given. So are resulting tension acting and each of these components Reporting to two significant figures is 28 0 0.23 mutants very small compared to other problems of the sea, which is other 20 on the order of tens of Newton's or sometimes even hundreds of Newton's. But we expect very, very, very lightweight spider that she wouldn't be able to generate something with a huge amount of tension. So, yeah, there's your final answer.