Tle trough lhe ligute lilled with corn syrup. Wsc #cight dcnsily 90 Ibvft' Calculate Ihe fluid fonce (I1 One uf Salled sides uf the Lrough if & 9ft,h = 13 ...

Calculate the fluid pressure on one of the slanted sides of the trough in Figure 18 when it is filled with corn syrup as in Exercise $21 .$

In this question, though it's here, changes little nearly. We can see that the Witt said dips. Why equals zero equals zero is be and the wits dips y equal. It is a so calculating the slope. We get a minus bi over H minus zero, equal a minus bi over each, so we can express the wits as a function off depths, which will equal to function of why equal B plus a minus bi offer each. Why, no, the first we can say that equal w integration from a Toby. Why f y Do I What if 90 integration from zero to which four. We plus a nine SB over. Why do you want so, too, are equal to my TV integration from zero to which why do y plus 19 a minus bi over it from zero to it off White Square D y. After we integrate these parts, trying to be off y squared over two from zero to etch a plus 90 a minus bi over each. Why you over three from zero toe etch so we can get that 45 b h squared plus 30 a minus bi over each by H. Q. what will be equal to 45 b h Square plus 30 a minus bi. It's just quit. It is great so it will equal to after we take a common factor. 45 me plus 38 a minus. Bi ich it's just squared it full equal to 45 b Yes, 38 minus 30 b h e squared. So it will equal to 30. A minus plus 15. The boy It's just quit. Oh, you see? Thank you.

In this answer of the last question we have, it tells us that place the origin at the lower verdicts off the truck and orients the bust of why access pointing upward. First, consider the faces at the front and the back end off the trough. Our center stripped at a height. Why has a lens off to why over Route three, and it's a dips off minus Why, therefore, the first will be equal to W integration from zero to H eight minus y boy do. Why over square root off three D y will be equal to H over square root of three y squared minus two over three square root off. Three. Why? Why Q. From each from zero to age, it will be equal to square root off 3/9 W H Q. If we're equal to square root of 3/9 W h Q. For the slanted side, we know that each side mics and angle off 60 degree with the horizontal. If we let l did not the lens off the trough, then equal to to w ell over square root or three integration from zero to age H minus y de y after integrated, it will equal to square root of 3/3. Oh, the W H Square. And that the final result off the value off. Thank you.

Problem. Number 19. This angry is 13 degrees and this is 16 means and this is 200 m and this is 100 m. So roll is what's thousands. He two grand over either cubes and which is it with 200 m to force over sex, 30 degrees is equal to integration. From here, 200 we'll roll times X that you x dx, which is deeper integration from their 400 off 17 times x Times 200 e x. So the integration were the for. This formula is equal to temper five times 100 square, equal to temper nine and you didn't so is equal through 6 30 degrees times Tim Howard nine, which is equal to well but square root off three time stem for 19.

So in this particular case, what we have these We have this synthetic Vance I u l with and do the effective index on. Before that we have some fluid week and one instant Ray defected. Ray, this is they won. And inside the inside events, the defective indexes, the defective angle is theta two. So we have anyone scientist a one request and do. Did I do We're supposed to find What is the angle of refraction inside the i o l. So that will be given by terrible equals R sine and one over and to trying to get a one now yet carefully put in the values there are two equals. Our sign and the one is for the fluid. The refractive index for the fluid ease 1.337 on a reflective in this for the lenses. One for five to the different, the angle of instances 77 degree. So if you do the math, it comes out to be 63.79 degree. So that's called that 64 degree