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PROBL EM The magnitude of force shown the figure is 25 kN: Determine (a) the moment of' F about point G and (b) the moment of F about the DG axis.L5m2 M...

Question

PROBL EM The magnitude of force shown the figure is 25 kN: Determine (a) the moment of' F about point G and (b) the moment of F about the DG axis.L5m2 M

PROBL EM The magnitude of force shown the figure is 25 kN: Determine (a) the moment of' F about point G and (b) the moment of F about the DG axis. L5m 2 M



Answers

Determine the magnitude of the forces $\mathrm{F}_{1}$ and $\mathrm{F}_{2}$ in Figure 28 assuming that there is no net force on the object.

I know everyone in this problem. We have to calculate momento course, and no accepts is why exes and yet exit if port off for I get. But let's dig up minus three, kick up one is a plight at me. Oh, by two methods. One is using that approach on a ticket. It's good approach. The start solving been way, but coordinates off. A point is you don't do you, don't you? Don't and God laid off the point people, right? It will be full three. My next ofit So we can put would you shouldn't back that up, baby A B position back the candidates four minus zero I kept, but the three by zero Jacob plus minus two made a zero pick up. So producen factor Avery will be before I get up. The last three Jacob minus two k camp it that be acquitted. No moment of reports about a lost excesses by existent directs is we had a finding it amid upwards about a and on accepted. That's been I dot in the gross ever. No, we have to take that thought for a laptop. Mom McDuck pores about a Then we will get moment upwards along XX is no. I get Jacob. Kick up on a B is for three minus tal four to give it four. Well, on minus three. Point on solving this, you will again be born. Hey, this is What about momento reports about a along by exists. It can be read in a deal dot A week process did not. I get Jacob kick up for three minus toe four minus three on solving this. Unbearable to be four. Why did you know foot in two parts? No momento put about a and I'm dead Exit hiccup. If we cross f have to do it, I get Jacob. Get them for three minus toe for 12. Minus tree on solving this uncertainty 36. Why? And you know one into pit. So these are not oriented. Have you seen it? We have progress under by using backdoor concept. No, in second part. Same problem we have to solve. It s killer. But we know that put and all xx is that it's well and perpendicular distance the moment off about it will be well in tow along by exists minus through a window. The becomes have been born fit along by axis and invited up. Imported minus four. My last four in tow left three into four. It will be food white. It will be four point. Did you know wound in a pinch. On a longer directed. It will be minus four into three. That's 12 into four. That is 36 born in group it. So this is the under for this problem. Thank you.

We'll be looking at how to kids. Uh it falls acting been the judicial system now less than we have uh a false m sorry. F. And that force is equal to six. I my last two. Mhm. Yeah. Mhm. Plus one key. Mm hmm. Yeah. Killed new team. Okay. No. And this forces causing a moment. Okay, lets us in a moment at who? About who the moment has given us for I lost five. Yeah minus 14 key. Mhm. No. Kill a new team. This is killing newton. Nika. Yeah. Yeah. Now we know for the X coordinate, we know that eggs at along X. It is one m along X where the force is acting before the other ones. We don't know. So for why? I don't know and for said we don't know. So what we can do since we know the moment will multiply the moment by the position victor. And use metrics for determining the metric to solve for uh to get the other parameters why. And they said, well, right, atomic questions which will solve some lingering questions and solve them to get their values so that they're going to have our moment. So you're going to like this moment you support to so let's call it. We'll eat okay. Times the force. Okay? And if all is already given to us. So when we do when we when we do that, we're going to have a moment of course our moment is for I well, I lost five G. My house 14 keep. So you cannot multiply the other ones from our metrics. I Uh huh. So put yourself. Okay mm Yeah I I'm sorry. Cool. Hi jew. Keep so under it will put a position we know along the expert is one but we don't know for why the while for the force is Already given us six. Find those two. So these are the dimensions one. Yeah are our values. So when we when we solve for this one we use determinant matter too soft for this. Revenue arrived at some equations for is equal to why loss. She said Okay we'll call that equation one. We have another question five is equal to minus one minus six. I lost 60. You can call this equation too. Okay yeah call this equation too. That we have it all the question of whatever like question So that one is -14 minors. 14. Yeah. Right. Support my last two minus six. Why? So that I question three when you serve these so you can try all this one. Try the determinant to get your the questions and you will arrive at why to be equal to two m. And you are said to be equal to one m story is one m high two m along the why is this? And one m along the X axis. So this is to one

In this question I'm see equals 18 Multiply 1.5 which is equal 75 Newton meters. So m c equal negative 75 must apply. Consign 30 in i direction Lost consigned 60 and K direction. So it will be finally equal Negative 65 in my direction minus 37.5 in K direction with units Newton meters.

We have a bracket that has three forces ask coming from the center of it. Right? So F. One, F. Two and F. Three and were given the magnitude and direction of all of these forces and were asked to find the magnitude and direction of the result in force. So what we need to do is break up each of these forces into their horizontal and vertical components, respectively. And then some each of those and using those numbers, we can actually calculate our result infection numbers. So we're gonna start with f. one and we're told that it forms a 15 degree angle with the Y axis. So another reforms a 75 degree angle with the X. Axis. So for F. one you can using sign and co sign. You can know that forms four times Co sign of 75° I plus. And this actually be negative for because it's going In the opposite direction F two and F three horizontally. Right? And there we go. So that's our horizontal and vertical components. F. One for F. Two. We're told that it has a magnitude of five killing humans and it forms a 30 degree angle with the Y axis. So here five killer newton's because it forms a 30 degree over the Y axis, It must form a 60° angle with the X. Axis. So same process. Okay, now, finally, for 4, 3, we know that it's along the positive X. Axis. So there's no vertical component to it. So we can simply. Right. Six I. Right. And we don't know anything about our result in factor yet. And X. And why we're going to have to find. So we can simply start summing up all of our uh huh horizontal components individually. So this simply adding up these sections. Right Plus six. And now we have to find what this is equal to and pull my calculator very quick and punch these numbers in. And that should give us a value of seven 464 464 killing Nunes. Now, I'm gonna do the same process with ry components. And he really have to because 43 did not have any vertical component to it. Okay, so pretty much the same exact process as the horizontal component. And if we plug these numbers in, we should have a value of 8.19. Killing demons. Okay. Now to find the magnitude you square both and square with the sum of the squares. Okay. And our magnitude of a resultant vector. Let's finish this equal sign. All right. It's 11.08 lipids are killing ins. It's important to keep the units killer guns. Next, we have to find the angle that forms with the positive X axis. So to do that, we can use the vertical and horizontal components with this formula better as you go to dark tan of the Y over X. Components. Luckily, we just found those white next components so we can plug those in. So I'm gonna write them out just to show 819 over seven 464 Better should be equal please on the calculator equal 47 0.6 six degrees. And you should be our final answers. We just sort of stuck with him more time. eps or force forms an 11.08, killing it in Force at a 47 66 Degree angle with the positive x axis.


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