This ain't textbook:


All the rods in figure are hinged smoothly as shown. The vertical red line is infact a spring of force const 'k'...

In terms of the angle A, k, m find the period of small oscillations (along x) of the blocks.

17 comments:

  1. This comment has been removed by the author.

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  3. yaar isme oscillations ho kaise rahi hain ???

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  4. this was a problem i solved during my JEE days, and i remember solving it with some difficulty.

    but now, two approaches were giving me different answers:
    1)The energy conservation (which seems more justified and is giving the Cos^2 type answers)

    2)Forces, which are giving Cot^2A types...

    any suggestions?

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  5. what is the answer bhaiya,is my answer incorrect????if yes,please post the solution.You posted this question on APRIL 20, 2010.I mean now break the suspense bhaiya,please.....

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  6. plz. read my last post...it says that i have not been able to solve this question myself...

    plz. post your solution, in very brief. then i'll see wether its correct ar not.

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  7. Distance between the two blocks=2l.cosA

    Length of the spring=2l.sinA

    The distance between the two blocks is decreased by a small distance ‘x’

    And the let the increase in the spring length be ‘y’.

    By pythogoras theorem

    L2=[lcosA-x/2]2+[lsinA-y/2]2

    Since x is small we can neglect x2 and y2

    =>y=cotA*x

    Fspring=ky=kcotA*x

    2TsinA=Fspring

    T=kcotA.cosecA.x/2

    We can replace the whole setup by two masses attached to a single spring with spring const ks= (kcotA.cosecA)/2 so that ob decreasing the dist. Between the two masses by x we get a force equal to the original setup.

    Time period f such a setup Is given by T=2pi(mred/ks)1/2
    Mred=m1.m2/m1+m2

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