equation solution nature will be looking exactly same now, all right now good question let us discuss the physics of where did this added moment of inertia come in this case very relevant question see now, I am rotating it what happen to this section is try to come down what happen to this section is try to go up. So, what happen to this fluid particle here gets pushed down what happen to this fluid particle here some disturbance is there. So, what happen there is a general mass of fluid particle again getting disturbed now you see when I rotate it about this axis I have I yy theta dot dot as moment of inertia for any rigid body if I take a rigid body moment of inertia now here same thing along with that some mass of water is also have to be rotated.
You see here when I am pushing it down this water gets pushed down. So, it is like again. So, much of water if I were to show a picture in a with a rate as if. So, much of water is attached to it and getting rotated this is the origin because whenever I am like accelerating there is some amount of water that is also getting accelerated. In this case, this comes down this goes up therefore, as if the mass of the section becomes heavier with this amount of mass. So, if I take a moment of inertia it is this mass plus this mass this is the origin same thing see any modes of motion whether rotation or whether linear we are necessarily pushing water an accelerating surrounding water. So, the surrounding water acts as if it is part of this mass the difference being here is that I had to take moment of inertia of that mass for rotational modes of motion. As I said if I were to take a small piece of mass here see this red piece of mass this fluid particle, this particle is also getting accelerated down. So, therefore, what is my moment of inertia mass of this section distance square plus mass of this particle distance square? So, if I integrate that I end up getting a contribution from the mass of the fluid particles this is what is added moment of inertia. So, added will also come in any accelerating motion. Remember this is an acceleration motion because I am just accelerating it. So, moment I do that there is an acceleration if steadily keeping like a trim there is no added moment of inertia like when I shifted a weight it trim there is no concept of added moment of inertia or other this force does not apply
ธรรมชาติแก้ปัญหาสมการจะมองเหมือนกันว่าตอนนี้ ทั้งหมดตอนนี้คำถามที่ดีให้เราปรึกษาฟิสิกส์ของ แรงเฉื่อยของขณะนี้เพิ่มมาไหนในกรณีนี้เกี่ยวข้องมากคำถามดูตอนนี้ ฉันกำลังหมุนสิ่งที่เกิดขึ้นในส่วนนี้จะพยายามมาลงอะไรเกิดขึ้นกับส่วนนี้เป็นพยายามขึ้นไป ดังนั้น สิ่งเกิดขึ้นกับอนุภาคของเหลวนี้นี่รับผลักลงอะไรเกิดขึ้นกับอนุภาคของเหลวนี้นี่รบกวนบางอย่างมีการ ดังนั้น สิ่งที่เกิดขึ้นมีเป็นมวลของอนุภาคของเหลวอีกครั้งทั่วไปการรบกวนตอนนี้คุณเห็นเมื่อฉันหมุนเกี่ยวกับแกนนี้ฉันมีฉัน yy ทีตาจุดจุดเป็นความเฉื่อยของช่วงเวลาที่มีร่างกายแข็งถ้าผมเอาแรงเฉื่อยของช่วงเวลาร่างกายแข็งตอนนี้ที่นี่เหมือนกับที่บางมวลของน้ำจะต้องหมุนYou see here when I am pushing it down this water gets pushed down. So, it is like again. So, much of water if I were to show a picture in a with a rate as if. So, much of water is attached to it and getting rotated this is the origin because whenever I am like accelerating there is some amount of water that is also getting accelerated. In this case, this comes down this goes up therefore, as if the mass of the section becomes heavier with this amount of mass. So, if I take a moment of inertia it is this mass plus this mass this is the origin same thing see any modes of motion whether rotation or whether linear we are necessarily pushing water an accelerating surrounding water. So, the surrounding water acts as if it is part of this mass the difference being here is that I had to take moment of inertia of that mass for rotational modes of motion. As I said if I were to take a small piece of mass here see this red piece of mass this fluid particle, this particle is also getting accelerated down. So, therefore, what is my moment of inertia mass of this section distance square plus mass of this particle distance square? So, if I integrate that I end up getting a contribution from the mass of the fluid particles this is what is added moment of inertia. So, added will also come in any accelerating motion. Remember this is an acceleration motion because I am just accelerating it. So, moment I do that there is an acceleration if steadily keeping like a trim there is no added moment of inertia like when I shifted a weight it trim there is no concept of added moment of inertia or other this force does not apply
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