The Origins

The Origins2:

There comes a time during JEE prepn. when one is all crazy abt integration..and moment of inertia..center of mass etc. One feels powerful with this ability! I got this question at that time.

But one may get stumped when the integration has to be replaced by a summation..as in problem no. 2..

The question i originally solved was to find out the moment of inertia of the rod abt an axis perpendicular to it and passing thru its COM.

Not easy??? anyone wanna give a shot?

So guys.. Saturday-Sunday you get your cute problems. Other days..when i got some less fun tasks and lesser time at hand..you get some good problems for practice..related to these big ones...

7 comments:

  1. AtinFebruary 20, 2010 at 3:44 PM

    Then it must be that 3 problems on sat n sun each. Accepted ?

    ReplyDelete
  2. Sambhav GuptaFebruary 20, 2010 at 4:01 PM

    r u asking to find the MOI about the COM in problem 2?

    [(100)(101)/2]^2 - [(100)(101)/2](67)(67)

    2833050 units?

    ReplyDelete
  3. AtinFebruary 20, 2010 at 4:28 PM

    Yo .. m also gettin the same!!
    I did it wid a looooond method .. crap !

    ReplyDelete
  4. AnujFebruary 20, 2010 at 6:59 PM

    Sambhav, you've done it right..
    Probably applied the perpendicular axis theorem??

    ReplyDelete
  5. AtinFebruary 20, 2010 at 7:09 PM

    NO ..
    Paralel axis theorm !!

    ReplyDelete
  6. Sambhav GuptaFebruary 20, 2010 at 8:07 PM

    perhaps he meant the same..
    bhavnao ko samjho..

    yes i applied the parallel axis axis theorem bhaiya...

    ReplyDelete
  7. ankush sachdevaFebruary 20, 2010 at 9:35 PM

    well..... i didnt think of parallel axis theorem.But it was still not lengthy.

    Sum(r^2(67+r)) from r=1 to 33

    +

    Sum(r^2(67-r)) from r=1 to 66

    ReplyDelete

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