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Data Trial rcciur HAEulrmegnitude [NL 42 } 309 &N 34L1NanoicEcomponcntXcomponentData Trial %:Teciur dimCmegnitudeIN] 432.2 N LLLAN 4482NangleX-componentXcomponc...

Question

Data Trial rcciur HAEulrmegnitude [NL 42 } 309 &N 34L1NanoicEcomponcntXcomponentData Trial %:Teciur dimCmegnitudeIN] 432.2 N LLLAN 4482NangleX-componentXcomponcnt42 2192Data Trial 3:vector namemagnitudeIN] 345.2N 421LN 3k08_&Nange 18 12e 28X-componentC-cum ponent

Data Trial rcciur HAEulr megnitude [NL 42 } 309 &N 34L1N anoic Ecomponcnt Xcomponent Data Trial %: Teciur dimC megnitudeIN] 432.2 N LLLAN 4482N angle X-component Xcomponcnt 42 2192 Data Trial 3: vector name magnitudeIN] 345.2N 421LN 3k08_&N ange 18 12e 28 X-component C-cum ponent



Answers

In Fig. $6.35, \Delta \mathrm{ODC}-\Delta \mathrm{OBA}, \angle \mathrm{BOC}=125^{\circ}$ and $\angle \mathrm{CDO}=70^{\circ} .$ Find $\angle \mathrm{DOC}, \angle \mathrm{DCO}$ and $\angle \mathrm{OAB}$.

Given trying their lives. So this is B do you? Uh And s. But this is This is this Now it is given becue equals cures. So it means this is andl X equals this angle x again. You, uh, equals ours. Sweetening this angle is why, in this angle is also because the kinda czar I saw cities all third is given This angle is 70. Do now we have to find the value off next. So let us start in triangle us and drying. Uh, U s by anger. Some property. We have 72 plus why less? Why equals one? Itty It implies 72 plus two y equals wanted? No. By subtracting 72 from both sides, we will have do why he was one a t minus 72. So it implies to y equals one. A. T minus 72 will give you under and it the riding boat size by two. Like this way. So we will have Why equals if do you fool? Why equals 54 not going back to over given figure that this angle is angle one. No, y plus one equals 1 80 degree because they formally near pier. Enough. Iger and good. Why? Plus angle one equals 1 80 degree. Because therefore being here. Yeah. So it implies 54 last angle. One equals one itty. And it implies angle. One equals 1 80 minus with before. So angle one worlds 126 days. Not going again. Back where were bigger in triangle Beat us in during girl B. U. S angle. One less x bless X equals You are naked, agree by ankle some property and we have find angle one equals 126 plus X plus x is give you Lex Equals were Nettie no surprise 1826 from both sides. We will have the works equals one a D minus 1 26 If it gets too, works equals 54 are the wording both sides By two, we will have X equals a bridgeway to 54. By do, we will get 27 So x equals one d seven. So it means and go. You will be s angle. Q B s equals 27 degrees

All right. I try started this problem and I ran into some technical difficulty. Um So I'll go over what's done here so far. It says um what question are we all in here? Okay, so 12 newtons At 20°.. So this should be an end for Newton's. I drew this is 12 newtons here And I drew it at 20°.. And then on the end of it I drew 14 Newton's at 50 degrees. So 12 times the co sign, the co sign is going to be the adjacent, So 12 times the co sign of 20. And then in the Y direction it's going to be 12 times the sine of 20. And again, co sign as horizontal. Here sign is vertical. Okay then I just took these 12 co sign 20 plus 14. Co sign 50. Put it in a calculator and got 20.3. Then I took 12 signed 20 Because 14 sign 50. Put that in a calculator and got 14.8. Okay, so now we need to figure out magnitude and direction. So um I need to put back in 12 co sign of 20 plus 14. co sign of 50 12. Co sign of 20. Okay. Plus 14 Um co sign of 50. And that gives us the 20.3 and the 14.8 for the sign. Using the pythagorean theorem, I get a magnitude of 25.2 and then I get a direction using the inverse tangent of 36.2°.. Okay, now we move on to be. So I drew part B. Um Now 105° and let me erase some of what I've got up here so that maybe you can see better. There we go. I didn't want to raise that. Okay, notice that the second ray, the second vector Is 105°.. Well, 100 and five degrees is 90 plus 15. So after the 90° angle, then there's 15° more. So um 15 co sign of 15. 15 sign of 6, 15. But on the second vector um the we've switched the sign and the co sign because The Y direction is now the adjacent to 15° and the X direction is now opposite. So that gives me these and I could put them into Dismas. So that gives me 15 coastline of 15 -18 sign of 15. So that's going to give me 9.83 in the X. Direction. And that makes sense because it's positive. In the end it's going to be positive. And then I've got 15 sign of 15 fingers were in the wrong place. Um Plus 18 Co sign of 15. That gives me 16 62 Pythagorean theorem ends up being 19 And then the angle is 59°.. Now, that is not the same as what's written in Dez most. So I'm a non dez Mohsen enumerated. So I'm going to keep thinking about what I did here. 15 co sign of 15 is definitely what I wanted and that should be a positive number and it is. Then I subtract it off 18 sign and I got a smaller number. That makes sense to 12 sign of 15. 12 sign of 15. That should be a positive number, yep. And then this made it even more positive, positive and even more positive. So again, that's correct. Make sure that I'm in degree mode, which I am and then I did pythagorean theorem, which obviously is correct. Uh And then inverse tangent of V over a Y direction over X direction gives me this. So 19.3 at 59 0.4 degrees. Okay, let's move on to see, yeah, pick up the right pen here. 20 newtons at 3.13 degrees. Oh no, that's the answer. C20 newtons at 40° And then 15 newtons at 310°.. Okay, 20 newtons At 40°.. Let me try that again. Okay, Now 310° with 360 -310 is 50. So that would actually be at negative 50°.. So I'm going to start from up here, I'm going to go downward 50 degrees. And um this is 15 Newton. Okay, so uh again looking at components, we've got 20 Co sign of 40, We've got 20 sign of 40. And then we want to add uh 15. The X direction is the co sign of 50. 15. Co sign of 50. Um But then in the Y direction it's negative negative 15 signed of 50. So if I add those together in Dez mose I get 20. co sign 40 Plus 15. co sign 50. 20 signed, 40 -15. Sign 50. Okay, That gives me 25 newtons and three degrees, which is indicated as the correct answer. So thank you for watching.

For this, probably first wanted to start by defining V. X, vertical component. BV co sign of T and B. Y. The this is the very component is the horizontal component. That's gonna be the sign of T. That per V is the magnitude of the original sector and he is the beta angle in standard position of the vector V is given to us As 2.65. Yes. And that's um million newtons. And then we have that data is equal to 197.3°.. So based on that, we see we have VX is equal to negative 2.53 million newtons. And the y component is negative 0.788 million newtons. So this will be our final answers and the correct units.

So this question wants a vector of length to that makes a 30 degree angle with the X axis. So the best way to do this is the sketch it out. So here we have our plane. Then we have our vector of length to, and this angle right here is 30 degrees. So how can we find the components of this vector? Well, we'll draw this a bit bigger here and create a triangle. So here we have length to here. We have an angle of 30 degrees and the red length great here. Well, this is the X component of the vector. And this why component of the vector is the other leg. Because remember, since the Vector Edition is tip to tail, if you put the Y on top of the ex with some of the y, plus VX is just feet. So now we can use some trig to find our components. So we know that sign of 30 freeze equals opposite over high pot news v y over too. So v y equals to sign of 30 degrees, which equals one because sign of thirties won't half. Then similarly, over here we can write co sign of 30 equals adjacent over Hi pop news. So two co sign 30 degrees equals V X or V X equals two times. Route three over two, which equals Route three. So are components of the factor. Our Route three one.


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