Rotational Inertia: Race between Ring and Disc!!! #youtubeshorts #shortsviral #viral

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Rotational Inertia: Race between Ring and Disc!!!
Who wins! Why? Hibbeler Statics - Chapter Playlists
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I was a physics major and moment of inertia was one of the things that confused me the most

GreatGwiaz
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Glad we had that slow mo. It was a close call.

skyxonxfire
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May be it will help you
Moment of inertia of disc :(MR^2)/2
MOMENT OF INERTIA OF RING :MR^2
FOR SAME MASS MOMENT OF INERTIA FOR DISC IS SMALLER THAN RING MEANS IT HAS MORE SPEED

sachinmahajan
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The mass is the same. The density of the wooden disk is lower. Think about them just spinning in place without the friction and translation vectors. The center of mass of the wooden disk is closer to the origin of the radius than that of the ring, so the total mass of the disk travels less distance in a rotation. The wooden disk takes less work(mass accelarating over a distance) to change its angular momentum while spinning in place. Thats why the ring requires more energy to speed up and slow down its rotation even with the same mass and diameter.
@sachinmahajan5920 has the equations in the comments

josephvinson
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From my logic, inertia is how much it resist movement. The mass of ring located at the radius, so it take more moment and force to rotate it.

BARBQSAA
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I am an engineering student from Iraq. I did the translation feature so that we could understand the material

muntahdernaem
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It’s similar to holding a dumb bell close to your body vs fully extended. The closer the mass is to the point of rotation (your shoulder) the easier it’ll move

jimmymelonseed
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Angular momentum is given by I(w) [w--->angular speed] that means inertia is inversely proportional to 'w'
The disc has 50%less inertia than ring
Thus disc moves faster

GopalTanna-mx
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Different mass moment of inertia. Cool demonstration

K.J.H_
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Kindly upload centripetal force and centripetal acceleration

abdulrafayqar
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Explanation given is somewhat facile. It's not the absolute moment of inertia that is significant here, but the moment of inertia divided by the (gravitating) mass. As long as friction and drag are insignificant, a disc of any mass will beat a ring of any other mass, lighter or heavier.

dasmith
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Due to internal diameter the inertia of ring is higher then disc.
An inertia is a body's natural tendency to resist it in a state of what is it. If its static it will get a jerk or if the body is moving, inertia will try to slow it or stop it

Mala_Laiq
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Lesssgoo i finally got to apply my school physics somewhere lmao

viveksoni
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You can also understand by conservation of angular moment!
At t=0, both objects at rest, so a.m. is zero. So this should be zero in all journey! At time t, moi of disc is smaller than moi of ring, so its angular speed will be greater than ring (to conserve a.m.)! And same vice versa for ring. That means angular moment of system is zero at all the journey! (A.m formula moi× angulad speed) Hope it help!❤

csmytcreations
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Thank you sir we love it .we want such type of teachers so we can go further❤

tajkhan-jhkn
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I had this as an interview question many moons ago.

danielfrancis
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They are same weight same radius but the inertia of the ring is greater than the inertia of the disk therefore the on with more inertia doesn't like to rotate more so the angular acceleration of the ring is smaller than the disk thats why its moving slowly

IX
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How much would it change if they were of equal weight

baseballification
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t you can find it out by this formula which shows I directly proportional to time taken

senpen
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This is the video that made me subscribe.

blessingsfundikwa