1fantastic explanation!
Many Blocks are placed one over the other such that some part of the upper slab hangs out of the lower one. How will you Determine the stability??
eg: assume that there are 4 blocks. each of length 1 m.
The 1st block is on ground placed at 0 on the x axis.
The 2nd block is above the 1st placed at 0.2m on the x axis.
The 3rd block is at 0.4m on the x axis.
The 4th block is at 0.6m on the x axis.
Solve for this specific example.
Then, do you have a solution for the general problem?
Difficulty Level: 4-5
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27 Answers
1it has been cheked by enginners n they have declaredit safe till next 300 years.....it was earlier not safe and once it was even goin to b pulled down during sum war(dont remember name)...but at the last moment the order was cancelled..then a group of 30 topmost enginners wer formed n they decided to take out some sand from once side of the base n declared it stable....lesse wht happned after 300 years..plz keep me posted in heavens.....
1well... one thing mkg... (a serious one[3])...
woh leaning tower pehle leaning nahi tha...
isiliye topmost me ek agar leaning banaoge bhi, toh it will not be a permanent solution...
woh tower pehle sidha hi tha... the sand beneath made it leaning [2] [2]
(yeh post dekhne ke baad yeh koi mat sochne ki ab main pisa bachao andolan shuru karne wali hon [3] ... )
1hey ! superman ko bula lete hai :P :P
woh movie me tha!
he staightens the tower :P :P
1HAMEY USSE BACHANE KE LIYE KYA KARNA CHAHIYE......
FOR EXAMPLE: TOPMOST FLOOR PE EK AUR LEANING TOWER LEFT SIDE KI TARAF BANA DENA CHAHIYE??
OTHER VALUABLE SUGGESTIONS???
1the COM is still within its base...
the day it will get out of it... it will fall down[2][2][2][2]
1hey ya...i had a question in my mind frm a vry long time...
reely as priyam asked what is d stability reason for leaning tower of pisa...?
plz nyone tell!
62Shailesh. dont worry ..
I will post the full solution tonite
Check it tommorow.. or late night.. (if u are a night creature )
11i can think only of the torque... but how and where!
this hint also is not helping me with much.. means upper 2 is ok..
but when we add 3 planks how will this hint help!
33Araam se bhai!!!
Think about Leaning tower of Pisa and reason of its stability..
62ok now bcos it has been a long long time and no one could come up with anything decent, i will give the solution...
2 block case: if the block abouve the first one has its center of mass hanging outside the block it will fall!
3 block case: if the block above the 2nd (top most) hangs outside the 2nd one, it will fall.
If we take the system of top 2 blocks, they will fall if their center of mass hangs outside the lowermost...
Is this hint sufficient?
I know it was not a simple problem... but still if u can understand this solution it will be gr8...
I u havent, pls ask again... i think you should think a bit.. that is why i always try not to give the final solution but only a part of it!
62hmm.. of course it has to do with torque as well.. but think in terms of center of mass...
start with 2 blocks only!
1I think the system will experience some torque and will topple because the center of mass is slightly shifted away from the contact surface
