Moment of Inertia Tricks | Rigid Body Dynamics for JEE Main & Advanced | Class 11
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- Опубліковано 28 жов 2020
- Moment of Inertia Calculation | Moment of Inertia Calculation tricks | Moment of inertia Problems for JEE Main | Rigid Body Dynamics for JEE Main | Moment of Inertia Problems for JEE Main | Moment of Inertia for JEE Advanced | Moment of Inertia by Ashish Arora | Physics in Minutes by Physics Galaxy | Mechanics #19
There are many tricks used for calculation of moment of inertia in rigid body dynamics. Different types of problems are asked every year based on moment of inertia in JEE Main, JEE Advanced and NEET. In the topic of Rigid Body Dynamics, most of the problems involve calculation of moment of inertia of the object in consideration so questions based on this concepts are essential to be covered in detail. In this video Ashish Arora Sir is explaining calculation tricks of moment of inertia of different objects in rotational motion based on mass distribution property.
For quick coverage of all concepts of Rigid Body Dynamics students can review this topic from Physics Galaxy checklist video of Rigid Body Dynamics available at below given links.
Rotational Motion PG Checklist Video (Part-1) - • Rotational Motion (Par...
Rotational Motion PG Checklist Video (Part-2) - • Rotational Motion (Par...
For detailed coverage of all the concepts of Rigid Body Dynamics, watch all the physics galaxy concept videos through the playlist link - • Class 11 Physics | Rig...
For best preparation for jee and neet, students can use our Physics Galaxy series of books. For JEE Advanced, students must follow Physics Galaxy book of 700+ advance illustrations. All our books can be check and bought from link - edyapp.com/physics-galaxy-books
Detailed understanding of all such concept can be covered through the Physics Galaxy Concept videos available through our channel playlist or our website.
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This video is discussion of queries raised by JEE Aspirants from book Problems in General Physics by IE Irodove for their preparation of IITJEE and JEE Mains posted on doubtX portal doubtx.physicsgalaxy.com
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There are 5 Practice Quiz Questions based on concept of vertical circular motion explained in this video. Students are advised to solve below questions and find, out of given questions below which question(s) are given with wrong answer(s) and post your answer in the first comment in comment section. Correct answer with explanation will be shared in after two days.
(1) A thin square plate of mass M, edge length L is rotating about an axis passing through its center of mass, in its plane and at an angle 30° to one of the edge. If half of plate on one side of axis is removed, find moment of inertia of remaining part about this axis of rotation.
[ML²/24]
(2) Find moment of inertia of a Cylinder of mass M, radius R and length L is rotating about an axis of rotation passing through center of one of the circular face of cylinder and perpendicular to central axis of cylinder.
[(1/12)ML²+(1/4)MR²]
(3) A cone of mass M, base radius R and Length L is rotating about its central vertical axis of rotation with its base horizontal. If it is cut in two parts of equal mass M/2 by a horizontal plane parallel to its base and I1 and I2 be the moment of inertial of upper and lower parts of cone then find the ratio I1/I2.
[1/(2^(5/3)-1)]
(4) Find moment of inertia of a hemispherical shell of mass M, inner radius r and outer radius R about an axis of rotation passing through center and perpendicular to its base. (Calculate using the trick explained in above video)
[2M(R⁵ - r⁵)/5(R³-r³)]
(5) A plate of mass m having the shape of a right triangle of edge lengths a,a,a√2 is rotated about a given axis of rotation parallel to one side of length a and passing through the vertex where other side and diagonal intersect. Find moment of inertia of plate about this axis of rotation.
[7Ma²/6]
#physicsinminutes #physicsgalaxy #momentofinertia #physicsgalaxypim
Practice Quiz Questions on the concepts explained in above video are given below. Students can solve these questions and post all answers in reply to this comment and check which of the following given answers are wrong. Correct answers will be shared in 2 days with detailed solutions. More such questions and further preparation of JEE Mains and Advanced students can follow Physics Galaxy Advance Illustration book and check all our books and their content on the link - edyapp.com/physics-galaxy-books.
(1) A thin square plate of mass M, edge length L is rotating about an axis passing through its center of mass, in its plane and at an angle 30° to one of the edge. If half of plate on one side of axis is removed, find moment of inertia of remaining part about this axis of rotation.
[ML²/24]
(2) Find moment of inertia of a Cylinder of mass M, radius R and length L is rotating about an axis of rotation passing through center of one of the circular face of cylinder and perpendicular to central axis of cylinder.
[(1/12)ML²+(1/4)MR²]
(3) A cone of mass M, base radius R and Length L is rotating about its central vertical axis of rotation with its base horizontal. If it is cut in two parts of equal mass M/2 by a horizontal plane parallel to its base and I1 and I2 be the moment of inertial of upper and lower parts of cone then find the ratio I1/I2.
[1/(2^(5/3)-1)]
(4) Find moment of inertia of a hemispherical shell of mass M, inner radius r and outer radius R about an axis of rotation passing through center and perpendicular to its base. (Calculate using the trick explained in above video)
[2M(R⁵ - r⁵)/5(R³-r³)]
(5) A plate of mass m having the shape of a right triangle of edge lengths a,a,a√2 is rotated about a given axis of rotation parallel to one side of length a and passing through the vertex where other side and diagonal intersect. Find moment of inertia of plate about this axis of rotation.
[7Ma²/6]
Sir plz discuss these questions
Sir please explain 2,3,4 question sir...
Answers given for 2,3,4,5 are correct. First question is not clear. Thanks for the video.
Can your hier some teachers of chemistry and maths to make revision checklist of jee syllabus same like physics.lt would be grateful . It will not only help me but many students . Please make it before jee mains 2021 April attempt
The solutions to these questions will be shared in a video format?
Legendary faculty
Dear sir, You are the only teacher I have seen till date who is also teaching in an offline institute but still helping students with a noble heart❤️
Loads of love nd respect to you sir 🙏
A true definition of teacher😊🙏
Multimillion folds thank you to the entire *physics* * Galaxy * *team* and *Ashish* *sir*
❤️❤️😊
Mohit tyGi sir ka naam suna hai ??
@@yuvrajsoni6799 op bro but sir is still under rated
@@yuvrajsoni6799 dono hi badiya teachers hai , teachers ka comparision kyu kar rhe ho faaltu me ?
@@yuvrajsoni6799 ghanta kuch पढ़ाता है 😂
10:15 Moi about axis perpendicular to plane (I)= M( L^2 + L^2)/12 = M(L^2)/6
by perpendicular axis theorem,
I = I1 + I2 (where I1 and I2 are MOI about diagonal axis on the plane of rectangular plate)
=> I1 = I2 = I/2 = M(L^2)/12 (since rectangular plate is symmetrical I1 and I2 are same)
Now we cut the plate about a diagonal axis into two parts and that part again into 2 parts, and now we have the triangular laminar plate given in the ques... since these parts are symmetrical about the axis, the MOI wont change...
So MOI of the triangular laminar plate
I = M(L^2)/12
I = M(a^2)/6
Note: I lost all my braincells trying to figure out why you substituted the mass plate as 4M first which makes the mass of triangular plate in ur assumption as M and then you substituted the mass of triangular plate again as (M/4) , which did not sit right with me... so i present to u my solution
Thank u sir..
Lots of love & respect❤❤
Sir your videos are really helpful 🙏🏻 Thank you sir
most awaited topic
Beautifully explained sir. Thanks a lot 👍
Cant wait for this sir!
Thankx a lot sir. Hats off for your hardwork sir..
Maza aagaya sir🙏
Thanks sir , u r awesome!!
Sir your all video are helpful.
Every video there is always something new which I have learned for the first time 🙏🙏 thank you for your hard work🙇💯😀
Thank you sirr ....this was a very useful trick
Love u sir
Wow sir.... My teacher also taught me this topic in same manner
you are great sir such a mahapurus for students like us
The visualisation is just 👌👌👌 great
Thank you sir for these tricks.
Your explainations are great sir🙏
Woww sir thanks for the animation 😍
Thanku sir i have seen your all checklist and they help me a lot
Thanku sir god bless you sir🙇♂️🙇♂️🙇♂️🙇♂️🙇♂️
Sir you are great
Very amazing lecture sir
thanks for quick recap
Thank you very much sir
Nice Explanation Sir......
Thank You..
Thank You Sir
Sir, If I become at least half as talented, energetic and knowledgeable as you are, I will consider myself as a most successful physics teacher. 🙏🙏🙏🙏
Same here bro, but i will achieve ashish Sir's level one day, 👈
@@AMAR-pc6ht not only the level of physics but the down to earth nature ,The simplicity dedication for physics and student's .
Feynman coughs in background.
He has been teaching this since 1992 man.
@@alphaiitd1 tell him to stop smoking too much
361K subscribers , amazing sir , I think at the end of 2020 , you will hit 500K
Mind blowing!!
Thank u do mch sr , u r great
Sir u r reallya legend 🙏🙏🙏
Watched 1st video by pg and just loved it the concept of that gini and better visualization, changing of slides with words are just awesome 😮🤘🤘🤘✌✌can't like it more than one time i would have liked it 1000 times
Wow I can understand everything 🐱
thanks a lot sir
Thanks sirr🙏🙏🙏
3:45 I was thinking of the same thing.😇😇✌️
sir , this is very good way to learn faster and effective in Physics .
thanks a lot
Can we also bring it to ALLEN.?
Very useful.
Sir most awaited to watch ur videos ..u motivate us in right direction sir ...thanku sir
🙏🙏🙏
SIR THANK YOU VERY MUCH 😊😊😊😊😊😊😊
Sir please make a video of three important points which you discussed in your jee advanced strategy video.
Sir mza aa gya
Legend of physics Ashish sir
Excellent respected sir. NK Prasad Physics teacher
Kash aise teachers mil jaye chemistry or maths me bhi😔.
SIR PLEASE BRING A VIDEO ON CALCULATION OF MOMENT OF INERTIA OF A BODY WITH CAVITY
sir pls make a video on calorimetory part...and once again thanks to u for today's
Super helpful
Tirck from Ashis sir mtlb trick nahi maha trick😊😊😊😊💚💛💙
Thankyou sir
Sir please make more such videos
Sir please make one vedio for some study strategies for class 11 students for better preparation.🙇🙇
sir as in sphere case in 8:41 IA+IB=2/5MR^2 HOW COULD IB greater than 2/5mr^2. If IB> 2/5mr^2 then IA should be negative. how moment of inertia is negative sir.
Sir , at 6:24 is the I of cuboid M(L²+b²)/24 due to mass distribution please reply I am correct or wrong
Sir agar ham plane COM ke along na lekar kisi aur inequal portion cut karein toh MOI pe kya affect hoga?
Thanks sir 🙏🙏🙏🙏🙏🙏🙏
Thanks❤❤ sir
Some days you click fastest to open a video, some days to Set the Reminder. But I hope everyday we get to see you and get the benefit of your knowledge, Sir.
Sir pl. When it convenient to use energy method instead of force method in SHM
To calculate angular frequency.
Great teaching, and a big pressure of this chp has been released thank you Sir and everyone behind this great platform
Love you 😘❤️🙏🙏🏻🙏🏻 Sir
Congratulations legend for hitting 1M
It is to the sir who is reading my comment
Sir who are you, you are not ashish arora sir but you gave every answers to our questions
Sir, question no. 2 ka answer (ml^2/12 +mr^2/4) na hokar (ml^2/3+mr^2/4) hoga kya
awesome
Sir aapne jo cuboid liya tha and usko axis se half cut kiya to us case maye apne M ko M/2 se replace kiya but width bhi to half ho gayi plzzz telll
Thanku sir
Wavooooo sir 🥳🥳🥳🥳🥳🥳
sir plz tell why tension is negative in vertical circular motion when angle is greater than 90°
True legend l wivery thankful to God if l can become 1% of you
Beautiful and Insightful !! Unfortunately such important videos won't get much views
King💜
Sir i just completed this 😎😎😎.i hope sir will definitely bring a mindblowing video
Poji ne maa chodi😂
I ave no words sir..,i was worring ki mujhe yay nahi aate... i was deriving everthing 😅... now feels very esy...thank you !!!
Sir please suggest us reversion method of chemistry plzz sir🙏🙏🙏
sir at 8:45 won't even I b be less than 2/5 MR^2?
could you please check
In case of diagonally separated cuboide the mass will be M/2 ??
Why this legend not known by me in this years
Nice sir Ji
Sir pls can you explain what is meant by potential and potential difference . (Not the formula but the concept )
Sir is it necessary to read to NCERT book,if we read and make short notes of Physics galaxy books?
Sir aapne kaha ki hum body identical part break Kare to moi constant rehta he mean uska magnitude bhi constant rehata he kya?
Moi1=moi2
Sir, this theorem is called "Theorem of Symmetrical Expansion".
My teacher also have taught this , but this theorem is not present in books generally ..
This is called 'Mass Distribution Property of Moment of Inertia' explained in Physics Galaxy Vol 1 Page 293 Article 5.2.5
@@physicsgalaxyworld Damn 🔥 😁
@@physicsgalaxyworld trolling level :god
Lol
@physics galaxy
6:23 The sphere looks like the same thing Bahubali 😎used in the final battle....
Jokes apart,
very helpful video sir!
Mujhe sir ka padhane ka tarika bahut pasand hai...kyoonki sir kitna interested hokar aur kitna fast padhante hai....
isiliye kai bar mai faltu hi ajata hoon dekhne video😂
beta padhai kabhi faaltu nahi jaati, rest assured
@@physicsgalaxyworld yes sir 🙏
Everyone is gangsta......until ashish arrives with his pogeee
Sir when will the NCERT notes be coming?
And my request is that to make an another playlist for NCERT notes, which will be very much helpful for us.
Can you heir some teachers to make revision checklist of chemistry and mathematics same like physics. It would be very helpful for not only me but other students also. Please make it before jee mains 2021 April attempt
Sir using the animation and explanation which smart board people can't
pogi is genius 😊😊😊😎
sir in the first question the answer shd be (5ML^2)/24
Sir first question me I ko " I1cos30 +I2sin30 " me break karege kya ?
Jab cuboid ko half Kiya to uske moment of inertia mei mass half hua ,also,length of cuboid bhi to half hogi
Uski vjhe se bhi moment of inertia mei change ayega ?
Sir we need the block strategy and PLEASE give a special emphasis on How many days should we give to complete each BLOCK PLS Reply!!!
Sir is it helpful for neet aspirants also.. I meant to say there Is no need to practise advanced level questions for neet...????...
legend
Sir plz make video on typical shapes like H,I,T,F,L. Plz
Did anyone understand the first question? If so, can you please explain, because I got the ans as [(ML^2)/24]*5/4.
Sir i just wanted to thank you from the bottom of my heart.. I've been following your channel and concept videos ...those 8-9 years old videos are amazingly relevant till this day and have helped me thoroughly learn the chapters in my preparation for BOARDS and NEET... I'm appearing for class 12 boards exam and NEET in 2021 and I'm confident that your videos will definitely help me achieve a higher score..
U will score 180/180 , my wishes is with u...
@@AMAR-pc6ht thank you so much dear stranger for such encouraging words.... That means a lot to me... I wish you a veryyyyyy good life too😊☺💜
@@userismad001 by the way for ur kind info I am going to join IIT Roorkee, this year...
I am here becoz of love for physics and ashish sir... I can't forget him even after selection..
@@AMAR-pc6ht oh really??? That's so great.. I'm really happy for you.. I really wish you pull through the years in IIT wonderfully and become a famous engineer. All the best, just believe in yourself and I hope you get amazing mentors like Ashish Sir in IIT .. 🍀🤞💜
@@userismad001 yes it's real, I got highest mark in physics becoz of ashish sir only, I want to meet him, hope u too get ur dream college...