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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: SIMPLE "h" MOTION
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[Post New]28 Nov 2007 14:36:44 IST
    Subject: SIMPLE "h" MOTION
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shilps (2)

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Arrangement is shown below...mass of block is m...stiffness is k...block is slightly pushed slightly against C..find the time period..

    
[Post New]28 Nov 2007 16:08:27 IST
    Subject: Re:SIMPLE "h" MOTION
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ramyani (2911)

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its a hcv sum.
it is not important where u stand, but in which direction u are moving
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[Post New]28 Nov 2007 17:03:10 IST
    Subject: SIMPLE "h" MOTION
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karthik2007 (3733)

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It has already been solved by waterdemon. Please go through the archives in mechanics
Will nip in at times to solve problems :)
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[Post New]28 Nov 2007 17:08:42 IST
    Subject: Re:SIMPLE "h" MOTION
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waterdemon (4779)

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Anyways posting it for you .........

Note:
Spring B = Y axis
Spring A = X axis
Spring C = Z axis (making angle 45 with x axis.)

Let "x" be the displacement of SpringC.

The displacement of A = (x)Cos(45) = x/2

Similarly,The displacement of B
=xSin(45)
=x/2

Now the forces acting on "m" in the displaced position of m
are:

Kx in the direction of Spring C.
Kx/2 in the direction of Spring B
Kx/2 in the direction of Spring A

Therefore the Net Force in the direction of Spring C

=Kx + [(Kx/2)2 + (Kx/2)2]
=2Kx.

Therefore,
m(d2x/dt2) = 2Kx

(d2x/dt2) = (2K/m)x

 = 2/T

= K/M

Therefore,

T = 2 (m/2K)

Hope you find it useful.
Rate if useful.

Cheers!!!!!!!!!!@@@!!!!!!!!!
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