Area Moment of Inertia and Mass Moment of Inertia

Area Moment of Inertia and Mass Moment of Inertia - Brain Waves

Рет қаралды 35,756

7 жыл бұрын

Area moment of inertia and mass moment of inertia have almost the same names. They are mathematically very similar to one another and are different examples of an idea that mathematicians have been using for hundreds of years. You'll see how they are very similar in concept and are even similar to ideas from statistics.

Пікірлер: 33

@agginae 7 жыл бұрын

Nobody tells this in Strength of Materials classes. You have cured my insomnia caused by this confusion. Thanks a LOT!!!

@joshuakoehler6457 5 жыл бұрын

To sum up this very helpful video: Both Area Moment of Inertia AND Mass Moment of Inertia are second moments, but Area Moment of Inertia is with respect to geometrical area (applications to beam deflection), and Mass Moment of Inertia is with respect to the mass (applications to angular momentum).

@VikrantSrivastavaMaven 4 жыл бұрын

The best possible gist of the video :)

@eyeofthepyramid2596 2 жыл бұрын

You forgot polar moment of inertia, which is twisting

@joshuakoehler6457 5 жыл бұрын

Excellent explanation, thanks so much!

@ranjanrakesh8509 4 жыл бұрын

Bahut gajab chcha

@rajkumarhazra7441 6 жыл бұрын

Oh yea. Your teaching style is so nice ! I like you sir very much. Actually i want a sir like you who can teach like this way!👌 So nice.

@querrythis Жыл бұрын

Really good explanation of the differences and derivation. Wish you were my prof. Thank you so much

@MrLikeidontcare 7 жыл бұрын

I just searched this on youtube and you just posted this video 23 hours ago well what a coincidence. thanks a lot!

@purdueMET 7 жыл бұрын

You're most welcome. If you like this video, please spread the word :-)

@rajkumarhazra7441 6 жыл бұрын

If i not wrong , you have also good videos in KHAN acedamy ...?

@isaacfardig371 3 ай бұрын

Area moment of inertia = area cross section resistance to bending, Mass moment of inertia = solid body resistance to rotation, Polar moment of inertia = objects resistance to twisting.

@edwarddi3833 4 жыл бұрын

I am lost in the second moment part, too difficult for me. Anyway, great video, i like your explaination.

@carultch 2 жыл бұрын

Moment in general means quantity multiplied by distance from a reference point. Second moment means that the distance is squared.

@harpergrace2510 3 жыл бұрын

This Purdue teacher is better than the one who’s teaching Structural Engineering at Marshall (didn’t get whtether it’s a state college, etc).

@amazingworld3771 3 жыл бұрын

Finally..... I found it

@vandanapn8481 6 жыл бұрын

I was so confused yesterday with a problem.. but now I understand.. Thank you so much

@p0m91 7 жыл бұрын

Thanks Mark, very interesting as always :)

@purdueMET 7 жыл бұрын

You bet. More videos on the way :-)

@prabhukirangali441 6 жыл бұрын

Sir could you please post some videos related to analysis of springs..

@Findout1882 7 жыл бұрын

thnks sir i was expecting this topic.... thnks you so much keep going.... u r doing great

@purdueMET 7 жыл бұрын

You're most welcome. There are definitely more videos on the way. If you like these videos, please spread the word :-)

@nanak3363 7 жыл бұрын

Thanks :)

@Bobby14221234 5 жыл бұрын

Just little confused now.. I thought Overall mass M should be multiply into into square distance called radius of gyration is equal to moment of inertia I?

@mmk18686 7 жыл бұрын

sir,plz help me to clear my doubts regarding the following questions.. 1Q-why we take only second moment as moment of inertia?why not 1st and 3rd? 2Q-m^2 indicates area,m^3 indicates volume,then what indicates m^4(units of moment of inertia with respect to area)?

@mmk18686 7 жыл бұрын

si plz rply fast

@bharath_b 5 жыл бұрын

sir how to physically visualize area moment of inertia? Like how you showed using the tire.

@haryakumuda6798 4 жыл бұрын

He already show us in the first minute using a beam..

@kaushalchari5686 6 жыл бұрын

If i increase the mass moment of inertia of a body and then reduce the area moment of inertia of the same body about a given axis then will the overall torque required to rotate a body increase or decrease?? Which one has the stronger effect and why???

@carultch 2 жыл бұрын

Area moment of "inertia" has nothing to do with inertia, and has nothing to do with torque required to rotate a body. Torque required to give a body an angular acceleration, only depends on the mass moment of inertia. Area moment of "inertia" is a property that relates internal torque within a body, to the distribution stress within its fibers and the curvature as it deflects under linear-elastic loading. It has nothing to do with inertia and is entirely a property of geometry. The reason it is called "area moment of inertia" is that it has a lot of properties in common with mass moment of inertia. A more apt name for it, is second moment of area.