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Title: Class 11 JEE Lecture-1 Centre Of Mass
Description: The center of mass is a point that represents the average position of all the particles in a system. In physics, it is a crucial concept used to simplify the analysis of the motion of objects. By treating an object as if all its mass were located at a single point, we can analyze its motion using equations of motion for a single particle. In Class 11 JEE, students would likely learn about the center of mass of different objects, such as rigid bodies, and how to calculate its position using mathematical formulas. They may also study how the center of mass changes as the object moves or rotates, and how it is related to other physical quantities such as momentum and torque.
Description: The center of mass is a point that represents the average position of all the particles in a system. In physics, it is a crucial concept used to simplify the analysis of the motion of objects. By treating an object as if all its mass were located at a single point, we can analyze its motion using equations of motion for a single particle. In Class 11 JEE, students would likely learn about the center of mass of different objects, such as rigid bodies, and how to calculate its position using mathematical formulas. They may also study how the center of mass changes as the object moves or rotates, and how it is related to other physical quantities such as momentum and torque.
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Today, we’re going to complete the first lecture of Center of Mass as a Marathon Session
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Last year, there wer
e around 500 odd students who cleared Jay Advanced to go into IITs
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Each particle is going in a very complex kind of emotion, so whenever you see there is translatio
n combined with rotation or rotation combined with oscillation, imagine there is a pen or some spring mas
s system that oscillates and travels
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The center of mass and center of gravity are not the same
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Mass is in kilograms, weight is in newt
on, and if you are outside the Earth’s atmosphere in free space you are floating
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Center of mass is at rest during projectile motion
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There are many instances in which center of mass will not go in a straight line or n
ot going in a parabolic motion; it might go in a circular motion
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It
also depends on the density variation, how is it varying? It is more dense or less dense here for example
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The distance between the centers of carbon and oxygen atoms in a carbon monoxide gas is 2
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The distance of the center of mass of the molecule relative to the carbon ato
m is 8 so you will get 8 8 parts each one of them will be r by 8
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1
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What is components which you have taught that in basic maths one of the first few lectures of nurtur
e series in case you have forgotten that please watch it you need to know that basic match for sure witho
ut that it will be very difficult to move ahead
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The question is where is
the center of mass so i think i need to use my extended formula so extended formula x cm will be m1 x1
plus m2 x2 plus mn xn the whole thing divided by m one plus m two plus m n
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It is a bridge between particle dynamics and rigid body dynamic
s
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The formula for particles
in 3d is how do we locate the center of mass so one can easily guess this now
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m the vector i cap j cap k cap will be m one r one bar this bar involves something i cap somet
hing j cap something k cap
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m n r n divided by m one
plus m two plus m n so if you want to find the coordinates individually you can use this formula
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rakesh is only giving every ashirwaj all the blessings from rakesh wemula
already he is my correspondent
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It will also provide strategies and tips for the forever so god bless you all
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There will be many DMs now, as usual, with a formula for the center of mass
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However, there will be so many terms divid
ed by m1
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I would advise you to w
atch the third or fourth class of work power energy
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You will understand
it okay
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Just do it okay
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Each disc has some radius
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Interesting now, I think I know the
relationship between r and y as well
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I have already completed the term one syllabus bacha, and tomorr
ow I’m taking up one short revision of the previous chapter
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Found out d m in terms of d y
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Can’t integrate this because I can integrat
e y d y, but I can’t integrate x d y because variables always have to be same
Title: Class 11 JEE Lecture-1 Centre Of Mass
Description: The center of mass is a point that represents the average position of all the particles in a system. In physics, it is a crucial concept used to simplify the analysis of the motion of objects. By treating an object as if all its mass were located at a single point, we can analyze its motion using equations of motion for a single particle. In Class 11 JEE, students would likely learn about the center of mass of different objects, such as rigid bodies, and how to calculate its position using mathematical formulas. They may also study how the center of mass changes as the object moves or rotates, and how it is related to other physical quantities such as momentum and torque.
Description: The center of mass is a point that represents the average position of all the particles in a system. In physics, it is a crucial concept used to simplify the analysis of the motion of objects. By treating an object as if all its mass were located at a single point, we can analyze its motion using equations of motion for a single particle. In Class 11 JEE, students would likely learn about the center of mass of different objects, such as rigid bodies, and how to calculate its position using mathematical formulas. They may also study how the center of mass changes as the object moves or rotates, and how it is related to other physical quantities such as momentum and torque.