WEBVTT
1
00:00:00.690 --> 00:00:03.480 A:middle L:90%
in this problem were given not a done. Uh
2
00:00:03.490 --> 00:00:05.519 A:middle L:90%
, is it Trump? Is it'll shape and its
3
00:00:05.530 --> 00:00:10.550 A:middle L:90%
banks 30 degrees with the working girl. So where
4
00:00:10.550 --> 00:00:13.070 A:middle L:90%
has to find a total force acting on a side
5
00:00:13.080 --> 00:00:15.919 A:middle L:90%
off this, then we know that total forces it
6
00:00:15.919 --> 00:00:19.949 A:middle L:90%
with pressure times area and is able to rotate g
7
00:00:19.949 --> 00:00:23.989 A:middle L:90%
times that pleasure that the reference multiplied by area.
8
00:00:24.379 --> 00:00:28.190 A:middle L:90%
We don't have four water, rock G or white
9
00:00:28.190 --> 00:00:33.049 A:middle L:90%
dance This 62£15 for feet. Cute. So
10
00:00:33.049 --> 00:00:35.990 A:middle L:90%
we notice. We know that, uh, we
11
00:00:35.990 --> 00:00:38.850 A:middle L:90%
need to find an expression for that. And for
12
00:00:38.850 --> 00:00:41.909 A:middle L:90%
the area or it. We know that water is
13
00:00:41.909 --> 00:00:46.149 A:middle L:90%
acting on this surface. It means that we would
14
00:00:46.149 --> 00:00:49.969 A:middle L:90%
like to find a area off this. But as
15
00:00:49.969 --> 00:00:54.579 A:middle L:90%
you can see as the step measured here as that
16
00:00:54.579 --> 00:00:59.820 A:middle L:90%
, that changes the with every Why changes. It
17
00:00:59.820 --> 00:01:06.849 A:middle L:90%
means that the area will change as well. In
18
00:01:06.849 --> 00:01:08.519 A:middle L:90%
order to find aerialist. First issue, not we
19
00:01:08.530 --> 00:01:12.519 A:middle L:90%
haven't origin located right here. Sentry duty for Be
20
00:01:12.519 --> 00:01:15.890 A:middle L:90%
right here. That is our XX, sis.
21
00:01:15.170 --> 00:01:18.939 A:middle L:90%
This is R y axis. So this would be
22
00:01:18.939 --> 00:01:23.319 A:middle L:90%
X and it this would be our Y X is
23
00:01:23.510 --> 00:01:27.840 A:middle L:90%
so this is 00 co ordinates off this point right
24
00:01:27.840 --> 00:01:30.689 A:middle L:90%
here with them. We don't forget that this ship
25
00:01:30.689 --> 00:01:34.019 A:middle L:90%
is semantic inspectorswork Alexis. So they totaling is 100
26
00:01:34.269 --> 00:01:38.069 A:middle L:90%
. This would be 50 0 and the coordinates off
27
00:01:38.069 --> 00:01:45.939 A:middle L:90%
this word point would then be 25 by 70.
28
00:01:46.209 --> 00:01:48.090 A:middle L:90%
Why do we need the coordinates off those two?
29
00:01:48.099 --> 00:01:52.150 A:middle L:90%
Because we would like to ride equation off this following
30
00:01:52.200 --> 00:01:56.349 A:middle L:90%
line so that we could find an expression for wit
31
00:01:56.359 --> 00:02:00.250 A:middle L:90%
is a function of what? 25 70 Be not
32
00:02:00.250 --> 00:02:01.129 A:middle L:90%
only question off the line, you will for why
33
00:02:01.129 --> 00:02:05.150 A:middle L:90%
minus Why not is a slope times X once it's
34
00:02:05.150 --> 00:02:13.199 A:middle L:90%
not. Let's use the first point as the reference
35
00:02:13.199 --> 00:02:16.250 A:middle L:90%
points awhile. Minus zero is a goto slope is
36
00:02:16.250 --> 00:02:20.180 A:middle L:90%
a difference between wind divided by their fist between excess
37
00:02:20.180 --> 00:02:23.780 A:middle L:90%
or 70 minus zero. Go out by 25 months
38
00:02:23.780 --> 00:02:27.490 A:middle L:90%
, 50 times x minus 50 from a species.
39
00:02:27.500 --> 00:02:30.289 A:middle L:90%
That question off the line is done. Five y
40
00:02:30.300 --> 00:02:36.680 A:middle L:90%
close 14 x physical to 14 times 50. And
41
00:02:36.689 --> 00:02:38.289 A:middle L:90%
since we're trying to write the question off the words
42
00:02:38.300 --> 00:02:40.639 A:middle L:90%
w as a function of why we would like to
43
00:02:40.639 --> 00:02:44.490 A:middle L:90%
leave ex alone and write this one as the next
44
00:02:44.490 --> 00:02:49.349 A:middle L:90%
physical to 50 minus five watt over 14. Okay
45
00:02:50.729 --> 00:02:52.629 A:middle L:90%
, now, the key thing here, as we
46
00:02:52.629 --> 00:02:54.139 A:middle L:90%
said before, is that this shape with suspected his
47
00:02:54.139 --> 00:02:58.400 A:middle L:90%
work a y axis is Semitic. And this ex
48
00:02:58.400 --> 00:03:01.840 A:middle L:90%
, actually, is the question for one health sort
49
00:03:01.840 --> 00:03:06.000 A:middle L:90%
of total Wait w would be two times this.
50
00:03:06.159 --> 00:03:08.629 A:middle L:90%
Okay, So w would be two times eggs.
51
00:03:08.629 --> 00:03:13.840 A:middle L:90%
An area would be w times d one. Okay
52
00:03:14.110 --> 00:03:16.080 A:middle L:90%
, Now we found an expression for the area as
53
00:03:16.080 --> 00:03:17.949 A:middle L:90%
a functional Find out. Next thing is to do
54
00:03:17.949 --> 00:03:21.439 A:middle L:90%
find an expression for that is a functional fought,
55
00:03:22.580 --> 00:03:24.169 A:middle L:90%
uh, if Desai reference, if this is the
56
00:03:24.180 --> 00:03:28.189 A:middle L:90%
upper service or surface of water and as we go
57
00:03:28.189 --> 00:03:31.319 A:middle L:90%
down to pressure will increase. And don't forget what
58
00:03:31.319 --> 00:03:35.610 A:middle L:90%
matters is the vertical distance. However, we assume
59
00:03:35.770 --> 00:03:38.849 A:middle L:90%
that the are recorded excesses sitting on this in client
60
00:03:38.849 --> 00:03:45.379 A:middle L:90%
surface, meaning that if this is if, for
61
00:03:45.379 --> 00:03:52.159 A:middle L:90%
us, this is why Bender stepped will be this
62
00:03:52.310 --> 00:03:54.669 A:middle L:90%
H institution. Vertical distance. So it means that
63
00:03:54.680 --> 00:04:00.349 A:middle L:90%
there's this triangle where this distance is what and distances
64
00:04:00.360 --> 00:04:02.900 A:middle L:90%
h and the angle is 30 here. And we
65
00:04:02.900 --> 00:04:06.289 A:middle L:90%
would like to find an expression for age as a
66
00:04:06.289 --> 00:04:11.909 A:middle L:90%
functional. Why? This is 90 using this triangle
67
00:04:12.169 --> 00:04:16.230 A:middle L:90%
be easily see that H is a functional flies equals
68
00:04:16.240 --> 00:04:18.639 A:middle L:90%
eight is equal to skirt or three y over,
69
00:04:18.639 --> 00:04:20.649 A:middle L:90%
too. No, you know that that is a
70
00:04:20.649 --> 00:04:24.139 A:middle L:90%
function of why we know the area's a functional for
71
00:04:24.139 --> 00:04:27.680 A:middle L:90%
enemy already know Rocchi. So let's right total force
72
00:04:28.339 --> 00:04:31.370 A:middle L:90%
as integral. Why are we integrating again? Because
73
00:04:31.379 --> 00:04:33.019 A:middle L:90%
, as I said before, the with as a
74
00:04:33.019 --> 00:04:38.420 A:middle L:90%
function of step is changing and the limit as since
75
00:04:38.430 --> 00:04:40.899 A:middle L:90%
this is the origin and since this is wise,
76
00:04:40.899 --> 00:04:44.420 A:middle L:90%
your level and it since this is wise 70 feet
77
00:04:44.420 --> 00:04:48.970 A:middle L:90%
level inter gullible be between zero and 70 Roaches given
78
00:04:49.209 --> 00:04:57.279 A:middle L:90%
that is 62.5 D that has a functional quietus Skurdal
79
00:04:57.290 --> 00:05:01.420 A:middle L:90%
three oil too in areas of functional boys two times
80
00:05:01.420 --> 00:05:03.500 A:middle L:90%
x times. Do you are or be found?
81
00:05:03.500 --> 00:05:08.089 A:middle L:90%
X here. So that'll be two times 50 minus
82
00:05:08.089 --> 00:05:13.970 A:middle L:90%
five boy over 14 times d y now twos will
83
00:05:13.970 --> 00:05:15.949 A:middle L:90%
cancel out. We can write f as less they
84
00:05:15.949 --> 00:05:19.129 A:middle L:90%
count all the constants outside. In trickle, we
85
00:05:19.129 --> 00:05:25.980 A:middle L:90%
have skirted all three times 62.5 bullets black by in
86
00:05:25.980 --> 00:05:29.970 A:middle L:90%
Tegel, 0 to 70. Why? Times 50
87
00:05:29.980 --> 00:05:34.079 A:middle L:90%
minus 55 over 14. C'mon, he feel led
88
00:05:34.089 --> 00:05:39.980 A:middle L:90%
this integral and multiplied with screwed up three times 62.5
89
00:05:39.990 --> 00:05:42.199 A:middle L:90%
p. C. That the total hydrostatic force acting
90
00:05:42.199 --> 00:05:48.550 A:middle L:90%
all this object the stamp is 8.8 10 36 parents
91
--> A:middle L:90%
.