Book Stacking Problem - Calculating the Overhang

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Күн бұрын

Physics Ninja Shows you how to calculate the overhang of stacked books in equilibrium. The problem looks at the position of the center of mass and the condition for equilibrium.

Пікірлер: 27

@drfpslegend4149 Жыл бұрын

I remember in the first physics class I took in university (newtonian mechanics), this question was asked by a fellow student, and the professor was stumped for a bit, so we ended up doing a whole experiment with lots of students physics textbooks to experimentally measure the different tipping distances for different numbers of books. I believe we got to the point where we were using infinite series to analyze the problem (I think the student wanted to know what the maximum possible distance from the edge of the table was, given an infinite number of books), and I just thought to myself how cool it was that a seemingly simple problem could deserve such an in depth and advanced analysis. It's good to know that there is a simpler, more elementary way of solving it with center of mass analysis though, at least for a finite number of books :)

@MVFRNinja 4 жыл бұрын

THANK YOU for a clear and concise explanation and demonstration on how to solve this problem. I've been stuck on this for a WEEK and NOBODY could explain how to do this without confusing me more, always attempting to sum the torques, etc.

@PhysicsNinja 4 жыл бұрын

Awesome I’m glad I was able to help you. I remember being in a second year mechanics class and taking 8 hours to solve one problem. I was so frustrated. It gets easier!

@PhysicsNinja 4 жыл бұрын

Awesome I’m glad I was able to help you. I remember being in a second year mechanics class and taking 8 hours to solve one problem. I was so frustrated. It gets easier!

@pavitkaur6875 6 жыл бұрын

Really good and truly enjoyed the video and found it really interesting. Nice work and keep it up buddy..

@PhysicsNinja 6 жыл бұрын

Thanks for the comment and i'm glad you enjoyed the video. Happy learning! Dr. E.

@muhammad2forever897 2 жыл бұрын

Very good. Helped me a lot. Thanks!

@sfratini 5 жыл бұрын

Very clear explanation! Thanks.

@CloudTest-wj5yo Жыл бұрын

Great explanation, thanks a million !!

@AshishAmant 4 жыл бұрын

Fantastic explanation sir....now I m able to explain this to my students

@PhysicsNinja 4 жыл бұрын

Ashish Amant thanks for watching!!

@yarikzhiga Ай бұрын

I wonder, what curve do they form?

@cliplaze 3 жыл бұрын

thanks for making this. usefull for a project of mine

@emanranne4726 3 жыл бұрын

Great video!!!

@nhat-ld8bq Ай бұрын

If all the pieces are nailed together, is this the same center of mass problem or is it now a rotational problem?

@saravanakumaranm2884 2 жыл бұрын

Three identical bricks are placed on the top of a one another as shown in the figure so that a part of one brick overhangs the another below. Find the maximum value of the total overhang. Pl answer this question

@radicalpotato666 2 жыл бұрын

In case, anyone is interested, the formula would be 1/2*(ΣH_n) where H_n is harmonic series.

@krishgupta7898 Жыл бұрын

General formula for overhang= L/2 summation (1/n) from 1 to n ; n being the no. Of objects stacked

@gokaytaspnar1355 2 жыл бұрын

You need at least 1674 blocks to make x greater than 4 block

@wolfie6175 4 жыл бұрын

intuition is fine but how about you actually show how the force and torque equations are balanced ?? So much for being a physics channel .

@Virtualexist 4 жыл бұрын

Yayyy !!!!!! Away and to the infinity !!!!😂😂

@tswellersalzer1850 4 жыл бұрын

Interesting thing. Now calculate it upside down to add books. Don't touch a working system.

@TheArtiststoolbox 5 жыл бұрын

If you duplicated the other 4 blocks to make 8 you would only gain in height, but not in width.

@PhysicsNinja 5 жыл бұрын

Yes, i could have made the blocks twice as thick and would have the same answer (assuming they are made of the same uniform material).

@TheArtiststoolbox 5 жыл бұрын

@@PhysicsNinja I did 7 encylopedias. I measured the book only to get half it's length and went from there. If the book was day 8ins I placed 2nd book at 4 of first book. Then 3rd at 2 of 2nd and so on. It got harder to figure out the remaining books. So I trialed and errored to find the balance points. Now that I seen your formula it will be much easier to figure. Thanks .

@radicalpotato666 2 жыл бұрын

The reason is simple, the horizontal position of the centre of mass is not dependent on book height.