21is it 1/36(mL2)
Take a square of side \ell, and remove the "middle'' square (1/9 of the area). Then remove the "middle'' square from each of the remaining eight squares, and so on, forever. Let the final object have mass m. Find the moment of inertia of the final object about the axis through the center of the original square and perpendicular to the plane of the square.
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20 Answers
33At first i alos took that...and mass also so and i got..
I=7mL2/(64*45) [5]
21OH!!!!!!!!
here L will b the legth of smaller square [5]
I took length of the whole SQ. all da time
21Priyam I guess I m making sum mist. in taking L sumwer, can u pl. post ur steps.
Omit the explanation, jus da steps shall do coz I jus gotta spot da not
11Can anyone tell me how close this question comes to jee level of toughness??
33tapan u got 1/36
i got 3/16 Let us see... what kayamant sir had to say
33Sorry...
found the msitake...
just a sec... I am calculating that...
66Well try to find it out.. really the same idea..only in two dimensions.
By the way, Nishant sir spoke about fractals, and I cannot stop myself from posting a few pics. As sir already said, these are objects which keep on showing the same pattern over and over again no matter how small section you take of that object. In the following three pictures, I have subsequently zoomed into the squared region and see the similarity.
33Now that the idea is out in the open, try the next one which I have posted.--kaymant Sir..
But i am not able to see the same method here at the first sight...... :(
:(
:(
62no it is an interesting thing in mathematics
where patterns keep repeating...
Like in snails or in images that you must have seen..
in a lot of leaves..
It is one very very interesting thing.
I am writing an article on it for the magazine.. and somehow kaymant sir got these here :)
in 2 different posts...
