Phy-Vec12

HSC26free
HSC26free
  • 2 days ago
Transcript
00:00:00Hello, Assalam-o-Alaikum to everyone, let's see if you are able to hear the sound or not.
00:00:29Are you able to see or not?
00:00:33Is everything clear?
00:00:37Are you able to see or not?
00:00:40Is everything clear?
00:00:42Everything is clear.
00:01:00Is everything clear?
00:01:03Is everything clear?
00:01:06Everyone join slowly.
00:01:09Today's class is very important.
00:01:12The other day we started with the concept of the problems related to the river.
00:01:17And today we will finish those concepts and do some fun math.
00:01:23Is everything clear?
00:01:25Okay.
00:01:27Is everything clear?
00:01:31Yes, very good.
00:01:33You have given a revision to the last class.
00:01:35Listen, in any class, whether it is SES or college class,
00:01:40always try to give a revision to the previous class when you are going to do a class in the middle of a chapter.
00:01:49Otherwise, you will not be able to find any sequence or link in the class.
00:01:54So, whenever you are going to do a class, try to take 10 minutes to revise what you studied the day before or what were the topics of the day before.
00:02:05See, your small efforts sometimes lead to a big outcome.
00:02:11But you will see that those who actually get good results and those who get average results,
00:02:17the two of them do not have a huge impact.
00:02:22The impact is due to their small actions.
00:02:25When a person starts doing some small actions, the impact of those small actions is very big.
00:02:32So, after each class is over, try to give a revision.
00:02:37Try to give a revision before each class starts.
00:02:40These small things keep your class motivated.
00:02:44You will be able to understand everything.
00:02:46You will enjoy the class.
00:02:47And you will like doing the class.
00:02:49You will not find it boring.
00:02:50Do you understand?
00:02:51What else?
00:02:53Yes, okay.
00:02:54I will not show the slides.
00:02:55Okay.
00:02:56No problem.
00:02:57Okay.
00:02:58So, let's start slowly.
00:03:03Everyone is joining now.
00:03:06So, let's give a revision.
00:03:08What did we study in the previous class?
00:03:10What did we study in the previous class?
00:03:11Because the last class is very important for us to continue this class.
00:03:15Whatever we will study today, we have given the foundation of these things in the last class.
00:03:20And at the same time, our long-term benefits are also very important.
00:03:27Everyone is praising my shirt.
00:03:28Thank you very much.
00:03:29I like to hear any kind of praise.
00:03:32Unbelievable.
00:03:34Okay.
00:03:35So, let's start.
00:03:36Let's give a revision of what we studied before.
00:03:38There are many things written here.
00:03:40Let's focus on that.
00:03:43Okay?
00:03:44Let's focus on that.
00:03:46Okay.
00:03:47At first, we saw that when there is no source in the river, what happened?
00:03:52When there is no source in the river, what did we do?
00:03:56We drew a w-beg with a line.
00:04:00After doing this long process, we reached point A to point C.
00:04:06After this, we wanted to find out how long it takes to reach from point A to point C.
00:04:14We know that S is equal to VT.
00:04:19So, T is equal to S by V.
00:04:23So, what did we use to light the beg?
00:04:25We used W.
00:04:27So, distance by beg.
00:04:29From here, we saw that T is equal to S by W.
00:04:32So far, we understood.
00:04:34Now, we wanted to use D to light the beg.
00:04:42So, we saw that there is a triangle here.
00:04:46This is the triangle.
00:04:48So, let's see the concept of triangle from here.
00:04:52Before that, if this is theta, then this is also theta.
00:04:55So, from here, we saw that in the triangle ABC,
00:04:58if you take sine theta,
00:05:00what is sine theta equal to?
00:05:01Length by area.
00:05:03Length by area.
00:05:05So, the opposite of theta is length,
00:05:08which is equal to D,
00:05:10and area is S.
00:05:12So, D by S is equal to sine theta.
00:05:14From here,
00:05:16S is equal to S by W.
00:05:19We can write S equal to D by sine theta.
00:05:23If we take S equal to S,
00:05:25and take sine theta equal to S,
00:05:27then S is equal to D by sine theta.
00:05:29After this, we saw that
00:05:31from point A to point C,
00:05:35if we want to keep this length in the equation,
00:05:39if we want to keep x length in the equation,
00:05:41then what is cos theta equation?
00:05:43Cos theta is equal to x by S.
00:05:46So, cos theta is equal to x by S.
00:05:48From here, S is equal to x by cos theta.
00:05:50So, these two equations,
00:05:52once S is equal to D by sine theta,
00:05:54and once S is equal to x by cos theta,
00:05:56if we take these two equations,
00:05:58and put them in S by W equation,
00:06:00then S is equal to D by sine theta,
00:06:02and once S is equal to x by cos theta.
00:06:04And from these three equations,
00:06:06we saw that
00:06:08these three equations give us
00:06:10a very significant result.
00:06:12That is, T can be equal to
00:06:14length of nature by area,
00:06:16or length of river by area.
00:06:20What did I say?
00:06:22D is equal to D.
00:06:24So, what is this length?
00:06:26It is length of area.
00:06:28And what is W sine theta?
00:06:30It is length of area.
00:06:32Our area was equal to this.
00:06:34Length of area is W sine theta.
00:06:36Think of it as D by W sine theta.
00:06:38And what is x?
00:06:40It is length of river by area.
00:06:42When it comes from this side,
00:06:44x is equal to length of river by area.
00:06:46So, length of river by area
00:06:48by length of river by area.
00:06:50See, cos theta of W is
00:06:52equal to length of river by area.
00:06:54So, to get T,
00:06:56we can write
00:06:58length of nature by area.
00:07:00So, length of nature
00:07:02by area.
00:07:04Or length of river by area
00:07:06by area.
00:07:08Or length of river by area
00:07:10by area.
00:07:12And we came to a conclusion
00:07:14that the direction of length
00:07:16of river by area
00:07:18will give us the value of time.
00:07:20Is it clear?
00:07:22So, this was the case
00:07:24of what will happen if
00:07:26the source of water is not there.
00:07:28What did we do
00:07:30when the source of water was there?
00:07:32Do not comment
00:07:34and ruin the mood.
00:07:36Put your mood in the class.
00:07:38We have studied these things
00:07:40in the previous class.
00:07:42I am giving a small revision of those things.
00:07:44So, those who forgot to give a revision,
00:07:46give some mood
00:07:48in the class.
00:07:50Then you will be able to understand
00:07:52the whole class.
00:07:54These topics are new for you.
00:07:56So, it is difficult to
00:07:58understand everything
00:08:00in the first class.
00:08:02You have to accept it.
00:08:04So, if you are not familiar
00:08:06with these things,
00:08:08it will be more difficult.
00:08:10So, keep these distractions
00:08:12aside.
00:08:14And focus on
00:08:16the class.
00:08:26So, there is a source in the river.
00:08:28If there is a source,
00:08:30then
00:08:32suppose there is a bank of a source
00:08:34with equal number of rivers.
00:08:36And suppose we are
00:08:38the owner of bank V.
00:08:40Earlier, we were the owner of bank W.
00:08:42Now, we are the owner of bank V.
00:08:44So, which bank will we go to?
00:08:46We will go to bank W.
00:08:48Remember,
00:08:50the bank U was
00:08:52the bank of
00:08:54source.
00:08:56And bank V is the bank of bank W.
00:08:58So, the bank of source
00:09:00and the bank of bank W
00:09:02is alpha.
00:09:04Now,
00:09:06which way will bank W go?
00:09:08Will bank W go only to bank V?
00:09:10Or only to bank W?
00:09:12So, the bank in the middle
00:09:14will go to bank W.
00:09:16And see,
00:09:18this cone is theta.
00:09:20In the previous case,
00:09:22when the boat was moving
00:09:24along the bank,
00:09:26along the bank,
00:09:28along the bank,
00:09:30the cone was theta.
00:09:32And the center point of U and V
00:09:34was alpha.
00:09:36So, the picture
00:09:38of bank V is
00:09:40this.
00:09:42So, our concept is
00:09:44that if I want to find out time,
00:09:46time is S by W.
00:09:48That is, the distance
00:09:50divided by the area.
00:09:52Now, if I want to
00:09:54find out
00:09:56suppose, time,
00:09:58if I want to find out t,
00:10:00then we will find out
00:10:02t equal to
00:10:04W.
00:10:06Then, if I want to
00:10:08find out d,
00:10:10then,
00:10:12d divided by
00:10:14the area of the river
00:10:16divided by the area of the bank,
00:10:18the area of the bank is d.
00:10:20Now,
00:10:22which bank is the area of the bank?
00:10:24Is any part of U
00:10:2690 degrees?
00:10:28Is any part of U 90 degrees?
00:10:30No. U is completely
00:10:32perpendicular.
00:10:34But, V
00:10:36is alpha degree.
00:10:38So, one part of V
00:10:40is perpendicular
00:10:42and the other part is perpendicular.
00:10:44So, here,
00:10:46the part of V is
00:10:48V sin alpha.
00:10:50So, the area of the river
00:10:52divided by
00:10:54the area of the bank
00:10:56V sin alpha.
00:10:58If I want to find out x,
00:11:00then, what was x?
00:11:02It is the length of the bank.
00:11:04So, which banks are perpendicular?
00:11:06One is the bank of the river,
00:11:08and the other is the
00:11:10perpendicular bank of the bank, V cos alpha.
00:11:12So, this is
00:11:14what we saw from here.
00:11:16We just used the length equation.
00:11:18Or, you can
00:11:20easily find out
00:11:22the area of the bank
00:11:24divided by
00:11:26the area of the bank.
00:11:28So, when I take the area of the bank
00:11:30as d,
00:11:32the area of the bank is
00:11:34V sin alpha.
00:11:36If the length of the bank is
00:11:38perpendicular,
00:11:40then, the length of the bank
00:11:42is V cos alpha and U.
00:11:44So, we will divide it by
00:11:46X by U plus V cos alpha.
00:11:48Did you remember everything?
00:11:50Did you remember everything?
00:11:54Did you remember everything?
00:11:56Good. Thank you.
00:11:58Very good.
00:12:00Very good.
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00:21:50So, now we have to find out the value of this cone, which is equal to the value of alpha
00:21:571.
00:21:58So, if we do it using the Lagrangian equation, then we can find out the value of the one-dimensional
00:22:17cone.
00:22:470.
00:22:48Labdhi ta ek sakho barabar upangsh hochche 0.
00:22:51Ta hole, anno vektor gula ek sakho barabar upangsh ho kato?
00:22:55Ek ta hochche amader u cos 0 degree, ebong v cos alpha, ei 2 ta hochche amader labdhi
00:23:04jai bacha kaccha gula ase, ei 2 ta bacha kaccha ase, tader ek sakho barabar upangsh
00:23:09hochche amader labdhi tar ek sakho barabar upangsh hochche samani.
00:23:15Ei, mane aseto, ek sakho barabar upangsh ho gular jog fal, dekho, e jatogula vektor
00:23:21chilo, protekta vektor er ek sakho barabar upangsh ho gular jog fal, labdhi ek sakho
00:23:26barabar upangsh ho shoman, ta hole, u cos 0 degree plus v cos alpha shoman shoman w
00:23:31cos 90 degree, ta hole ekhan theke etar maan to 0 ho jai, cos 90 maan 0, ta hole ekhan
00:23:37theke amra pai kato, cos alpha shoman shoman, cos alpha shoman shoman minus u by v.
00:23:43Shutorang, alpha shoman shoman ashbe kato, cos inverse, minus, u er maan kato chilo,
00:23:492, v er maan kato chilo, 4, shoman shoman kato ashche, 120 degree.
00:23:54Alpha er maan hote habe kato, 120 degree.
00:23:57Arthaat, tumi naukata ke chalaba sab samayi ei dik barabar, kintu srodhe dike thakar karone
00:24:02dekha jabe, tumi naukata ni ei bhabe kore apur paare pochaye geso.
00:24:08Booste bachchon?
00:24:09So, ta hole 120 degree kon kaas shathe bolato?
00:24:12Eta paare shathe.
00:24:13Paare shathe johan tumi 120 degree kone rahuna diba, johan jodi begte erakon 2 er 4 hoye,
00:24:18ta hole 120 degree kone rahuna dile tumi ekdom theek viparit bindote giye pochhaba.
00:24:24Booste bachcho?
00:24:25So, eta jodi tumra kotte paro, ta hole to hoylo hi, ar jodi tan 90 diye karo, ta hi le ho
00:24:31habe, eki katha.
00:24:31Dekho tan 90 diye jodi karo, tan 90 diye jodi karo, eki katha, eki katha.
00:24:36Tan 90 degree, shuman hobe hotse 4 sin alpha divided by 2 plus 4 cos alpha.
00:24:42Ekhan theke dekho, finally, ei line ta hi kinto ase.
00:24:44Ei line ta hi kinto ase.
00:24:46Dekho, ei duitar jogfal kinto sunno.
00:24:50Ekta jinish ikto dekhe rakho.
00:24:51Dekhe rakho.
00:24:52Eta mathaye dukhle kono darkar nai.
00:24:54Just ikto dekhe rakho.
00:24:54Ekta jinish bole rakhi.
00:24:55Ekta insight.
00:24:57Dekho, u cos 0 degree plus v cos alpha.
00:24:59Dekho, duita hi kinto ek sakho barabar beg.
00:25:01Khyal karo, amra jodi apar bindute pochhate chahi, thik biporek bindute pochhate chahi,
00:25:07tahole ami jodi ei dik barabar pochhate chahi,
00:25:09tale amar abasshoi ei dik barabar ekta beg er angsho thakte hobe na?
00:25:13Jodi ami ei bindute pochhate chahi,
00:25:15tahole abasshoi ei dik barabar amar beg er kono na kono angsho thakte hobe na?
00:25:19Beg er kono angsho jodi ei dik barabar na thake,
00:25:21tale ke ami ei dik barabar kakhon ho pochhabo?
00:25:23Ei dik barabar kakhon jabo?
00:25:24Jahitte parbo na.
00:25:26Tale ei karone ami jodi chahi ekdum sojaa pochhate,
00:25:30tar mane amar daan dik e kono beg thakle cholbe na,
00:25:33baan dik e o kono beg thakle cholbe na.
00:25:36Ei jonna dekho,
00:25:38ei daan dik baan dik barabar bar ek sakho barabar,
00:25:41jatogulo beg thakte pare,
00:25:43sabgulo beg er jogfal,
00:25:44jakhon sunno habe,
00:25:46takhone kinto amra sojaa biporek bindute giye pochhabo.
00:25:49To, eta hi hotse amadar ekane bollo.
00:25:52Theek ase?
00:25:53Very good.
00:25:54Ei baar aso, amra ei case thar ekta chotto simulation dekhe ase.
00:25:58Dekho,
00:25:59ekane tomra ekta nodi nauka dekhte pachcho.
00:26:05Theek ase?
00:26:05Tamadar ke nodir pare niye chole aslam.
00:26:08Tamadar ke nodir pare niye chole aslam.
00:26:11W er sathe jei angle tha disen, se ta kiser opare depend kare?
00:26:15Bolo to W ta ki chilo?
00:26:17Lobdhi chilo na?
00:26:17Kar kar?
00:26:18URV er lobdhi?
00:26:19Tahole, URV er maan er opare kinto W er maan,
00:26:23theta er maan ta depend korebe.
00:26:25Ei, lobdhi er maan ebong dik kar opare nirbhar kare?
00:26:28Jai vektor gula ke jogkara hotse,
00:26:30tader opare nirbhar kare na?
00:26:31Tader modhoboti konar opare nirbhar kare na?
00:26:33Asa kari bootcho.
00:26:35Ok.
00:26:36Tahole, bhaiya dekho,
00:26:37e je pani te haath dichi.
00:26:38Dekho, tomra hai to aneke pani touch kara sobhagbo pachcho na.
00:26:41Kino dakho, ame nodir pani chui aschi.
00:26:43Chui, nodir pani chui, shoddi katha bolchi.
00:26:45Khyal karo,
00:26:46Ekhane amadar kichu jinis pachcho dawa ase,
00:26:48tamadar ke aage kittu dekhai.
00:26:49Egula to aar nod, egula nod tulte barba?
00:26:51Unbelievable.
00:26:53So, nod tulak darkar nai,
00:26:54tumi aage dekho manojag diye.
00:26:55Ekhane amadar ekta beg dawa ase,
00:26:58eta hotse amadar naukar beg.
00:27:00Naukar beg hotse 4 acre.
00:27:02Ebong river er je beg,
00:27:04velocity of river,
00:27:05eta hotse 2 acre.
00:27:06Ekta hotse 4 acre,
00:27:07ekta ki 2 acre.
00:27:08Theek jamon ta amar ekta ke math kosh silam,
00:27:10setar maton.
00:27:11Tahile balo to, ami jodi chai,
00:27:12ekdom soja,
00:27:13e bindu theke,
00:27:14soja biparit bindu te pochhate,
00:27:16tahole amake,
00:27:17kon dikhe rauna dewa lagbe?
00:27:18Amake,
00:27:19par es sathe,
00:27:20120 degree kone rauna dewa lagbe?
00:27:22Ekhon ekhane je angle er,
00:27:24measurement ta ase,
00:27:25se hi measurement ta hoye,
00:27:27asole,
00:27:28amadar e north es sathe measure kose.
00:27:30North es sathe measure kose.
00:27:31Amra measure kosh silam kot theke?
00:27:33X acre sathe measure kosh silam na?
00:27:34Ora measure kosh se,
00:27:35Y acre sathe.
00:27:36Ekhon amake balo to,
00:27:37jodi 2 are 4 beg hoye,
00:27:39amre ekto aage dekhi na,
00:27:40par es sathe,
00:27:4130 degree kone rauna dele,
00:27:42soja biparit bindu te pochhache?
00:27:44Tahole bhaiya,
00:27:45ekhan amake ekto,
00:27:46tamra buddhi kore balo to,
00:27:47north es sathe kato kone rauna dewa lagbe?
00:27:49North es sathe kato kone,
00:27:50very good,
00:27:51noiti sabar aage answer dise,
00:27:5230 degree kone rauna dewa lagbe?
00:27:54Very good,
00:27:55tahole boss dekho,
00:27:56amra ekhane chotto,
00:27:57nokata ke ghurache,
00:27:58nokata ke ghuraye,
00:27:59ekdom theek,
00:28:00ame ki kollam,
00:28:0130 degree kone neye nila,
00:28:03nokata ke ghuraye,
00:28:04ekdom 30,
00:28:05are bhaiya,
00:28:0630 degree kone nila.
00:28:07Ekhon khayal korba,
00:28:08je,
00:28:09asha ekta kach kari,
00:28:10prothome aage 30 degree na deyi,
00:28:11aahaareyata pasto karnisilam,
00:28:12prothome aage chalo,
00:28:13dekhi,
00:28:14je,
00:28:15jodi,
00:28:16ei bhabe kore rauna dai,
00:28:17hai,
00:28:18jodi,
00:28:19ekdom,
00:28:20paar barabar ekta beg thake hotse 2 acre,
00:28:23ebong,
00:28:24nokar beg thake 4 acre,
00:28:25tokhon ashole,
00:28:26ei nokatar goti path kyamon hai,
00:28:27dekho,
00:28:28run dipchi,
00:28:29ei dekho,
00:28:30nokatar goti path ta dekho,
00:28:31kyamon hotse,
00:28:32rauna disila ekhane,
00:28:33dekho,
00:28:35chala dikta khayal karo,
00:28:37dikta khayal karo,
00:28:38dikta kintu,
00:28:39dekho sab samay,
00:28:40nokar begta kintu soja aa jatshe,
00:28:41karon nokata sab samay,
00:28:42dekho soja dike kintu abhimukh kara,
00:28:44kintu nokar jatshe,
00:28:45kintu soja na,
00:28:46nokar beg ditshe soja,
00:28:47kintu nokar soja jatshe na,
00:28:48kyano,
00:28:49karon sroter ekta beg oke,
00:28:50ei bhabe kore,
00:28:51samne aagaye niye galo,
00:28:52aabar dekho,
00:28:53ei dekho,
00:28:54aabar dekho,
00:28:55movie,
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00:28:57aske movier class hotse,
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