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![[Post New]](/templates/default/images/icon_minipost_new.gif) 17 Nov 2007 20:58:20 IST
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A particle of mass m is attached to three springs of equal force constant K as shown in figure.if the particle is pushed slightly against the spring which makes angle 45 and then released,find the time period of oscillation.
Salutes 100% gauranteed. plzz give detailed solution stating how the spring are in parallel or series
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 17 Nov 2007 21:18:18 IST
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is the answer 2pi / root(K(2-root2))
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science-
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 17 Nov 2007 21:27:26 IST
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no its2pi rootm/2k
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 17 Nov 2007 23:51:41 IST
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2(pie)(3m/k)1/2 ??????????
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 18 Nov 2007 00:24:53 IST
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Somebody ans yaar.....plzzzzzzzzzz
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 18 Nov 2007 11:26:06 IST
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Friends,this is an HCV sum yaar............ Common,i am in need of this..
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 18 Nov 2007 11:34:13 IST
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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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Always available for help !
But Remember Don't hesitate to ask a good Question but
Be damn serious for Questioning a weak one.
<TABLE CELLSPACING="1" CELLPADDING="1" BORDER="0">
<TR><TD>
<DIV ALIGN="right">Glitter Graphics</DIV></TD></TR></TABLE>
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 18 Nov 2007 11:53:17 IST
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Therefore the Net Force in the direction of Spring C
=Kx + [(Kx/2)2 + (Kx/2)2] =2Kx. Yaar Kx and [(Kx/2)2 + (Kx/2)2] are in oppsite direction .............. then how did u add them???
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 18 Nov 2007 11:58:03 IST
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Sorry......................got it.............. Thanks a lotttttttttttttttttttt nikhil..........
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 18 Nov 2007 12:06:03 IST
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Ok, you got it... Cheers!!!!!!!!!@@@!!!!!!!!
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Always available for help !
But Remember Don't hesitate to ask a good Question but
Be damn serious for Questioning a weak one.
<TABLE CELLSPACING="1" CELLPADDING="1" BORDER="0">
<TR><TD>
<DIV ALIGN="right">Glitter Graphics</DIV></TD></TR></TABLE>
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 18 Nov 2007 16:42:19 IST
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Can you explain more clearly how you resolved the displacements?
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Will nip in at times to solve problems :)
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 18 Nov 2007 18:30:23 IST
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yeah nikhil has solved it correctly.
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 18 Nov 2007 18:37:16 IST
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hey karthik its simple. what u want is the forces on the block so u need the individual displacements of each spring when the spring C is stretched the other two have the same displacement ,whose net is in the direction of the line x=y the spring B is in horizontal position so it would be stretched as much as the horizontal displacement of C. hope u got it. have a nice day
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science-
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the most eternal
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 18 Nov 2007 19:44:38 IST
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Never mind... I got the solution myself. The mistake that i made was that I thought that the third spring is perpendicular to the plane of the paper
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Will nip in at times to solve problems :)
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