WEBVTT
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here were given that there's a cube sitting in the
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aquarium, which one meter, Uh, that is
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one meter deep, and in part they were has
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to find a hydrostatic force acting on the top of
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this tube. Now, since the total height is
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one meters, and since the one side of this
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Cuba's 20 centimeters, it means that the distance from
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the reference or surface off the sec William to the
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top off this cube is 80 centimeters. You know
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that force is equal to pressure times area, and
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that is a cutthroat times G times that times the
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area. Now let's plug everything that we know,
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and we know that then still order is 1000 G's
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9.8. What is that? But that is the
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distance from the reference point that is in distaste.
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Water surface to the top off this cute that is
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80 centimeters or 800.8 meters. What's like by area
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off the top off, this cube will decide 20
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centimeters. That would be 1.2 skirt, and if
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he must fly this, we see that the total
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force acting on top of this cube is 314.
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Newton's in part B, whereas to find the force
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acting on one end off this object. So,
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Lisetta. Imagine we're looking at this cube from the
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site. We would have this object, right?
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So there is this, um that is the aquarium
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. This is the cube again behind his 20 centimeters
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. This distance is 80 centimeters and depending on deep
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depth. So the distance from the reference point we
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will have and area Let's assume this to B.
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D. Y. And just to be terribly wise
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. So the area off dust in strip will be
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doubly y terms he want. Now what? W
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what? W pirate does not change with that.
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And in this case, since it is acute,
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the what is 20 centimeters. So the area off
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distance trip will be 0.2 meters times d. What
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? All right now. What is that? Because
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we know that again. Forces pressure times area.
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And that is road times G times that times area
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. Now we know what areas is a function off
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this thickness artist in strip. Now let's find an
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expression for it that, um let's assume not be
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having origin located right at the center off this less
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use green color right here. So this is our
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origin X axis. This is Y axes. Now
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, if this is a positive, why and if
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this total height is one ended, that would be
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one minus one. All right, let's plug that
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in that You know that then the force will be
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inter go. So the force will be forces acting
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on this 10 strips summed up So they're B roll
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10 g. What is that? There's a function
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of why that is one minus y what is area
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? That is 10.2 times he want now what are
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the limits office in juggle? Well, we know
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that this is our origin. So this is y
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equals zero level and the height is 20 centimeters sort
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of physical. Otherwise you could 200.2 meters level sort
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of limits will be done from 2.2. Okay,
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so died will be then force is equal to the
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integral from zero point to attack isn't times 9.8 times
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one minus y times 10.2 d y force will then
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be 1960 which is 1000 times nine point 8/10 point
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to interrogate all from zero to point to one minus
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y do on that is 1960. Why minus y
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skirt over to where wind changes between Syria and 0.2
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force is Donegal to 1960 times point to minus 19600.0.2
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. Skirt over to there. From this we see
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that the forces I decided force acting on Sign off
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. This object is about 353 nutrients.