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MathGroup Archive 2007

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Re: I Need to Have These Equations Solved!

  • To: mathgroup at smc.vnet.net
  • Subject: [mg76614] Re: [mg76456] I Need to Have These Equations Solved!
  • From: dimitris anagnostou <dimmechan at yahoo.com>
  • Date: Thu, 24 May 2007 06:23:57 -0400 (EDT)

Impossible to figure out your equations.
   
  Repost your Mathematica code with
   
  1) Avoid the use of special characters like greek letters
  2) Convert everything to InputForm (select the cells and press Ctrl+Shift+I)
  3) Copy/Paste as Plain Text
   
  Regards
  Dimitris


pskmaths at googlemail.com wrote:
  Hi everybody,

I have some long expresion equations and I have been struggling to get
them solved! I need to solve these equations with respect to r, s, =CE=B8
and =CF=95.

The solutions are subject to the follwoing:

1=2E r>0
2=2E s>=0
3=2E 0<==CE=B8<=pi/2
4 0<==CF=95

The equations are:
---------------------------------------------------------------------------=
---------------------------------------------------------------------------=
------------
1=2E (1/4)*(-8*a*=CE=B1*=CE=B2*Sin[=CE=B8] - (4*l*m1*=CE=BC*(r*Cos[=CE=
=B8]*Cos[=CF=95] -
s*Sin[=CE=B8]))/(l^2 + r^2 + s^2 - 2*l*s*Cos[=CE=B8] -
2*l*r*Cos[=CF=95]*Sin[=CE=B8])^(3/2) +
(4*l*m1*=CE=BC*(r*Cos[=CE=B8]*Cos[=CF=95] - s*Sin[=CE=B8]))/(l^2 + r^2 =
+ s^2 +
2*l*s*Cos[=CE=B8] + 2*l*r*Cos[=CF=95]*Sin[=CE=B8])^(3/2) + 2*(a - b)*=CE=B1=
^2*Sin[2*=CE=B8]) =
0
---------------------------------------------------------------------------=
---------------------------------------------------------------------------=
------------
2=2E (1/4)*((4*l*m1*r*=CE=BC*Sin[=CE=B8]*Sin[=CF=95])/(l^2 + r^2 + s^2 -
2*l*s*Cos[=CE=B8] - 2*l*r*Cos[=CF=95]*Sin[=CE=B8])^(3/2) -
(4*l*m1*r*=CE=BC*Sin[=CE=B8]*Sin[=CF=95])/(l^2 + r^2 + s^2 + 2*l*s*Cos[=
=CE=B8] +
2*l*r*Cos[=CF=95]*Sin[=CE=B8])^(3/2)) = 0
---------------------------------------------------------------------------=
---------------------------------------------------------------------------=
------------
3=2E (-M)*r*=CE=B1^2 + (m2*r*=CE=BC)/(r^2 + s^2)^(3/2) + (m1*=CE=BC*(r -
l*Cos[=CF=95]*Sin[=CE=B8]))/(l^2 + r^2 + s^2 - 2*l*s*Cos[=CE=B8] -
2*l*r*Cos[=CF=95]*Sin[=CE=B8])^(3/2) +
(m1*=CE=BC*(r + l*Cos[=CF=95]*Sin[=CE=B8]))/(l^2 + r^2 + s^2 + 2*l*s*Cos=
[=CE=B8] +
2*l*r*Cos[=CF=95]*Sin[=CE=B8])^(3/2) = 0
---------------------------------------------------------------------------=
---------------------------------------------------------------------------=
------------
4=2E =CE=BC*((m2*s)/(r^2 + s^2)^(3/2) + (m1*(s - l*Cos[=CE=B8]))/(l^2 + =
r^2 +
s^2 - 2*l*s*Cos[=CE=B8] - 2*l*r*Cos[=CF=95]*Sin[=CE=B8])^(3/2) +
(m1*(s + l*Cos[=CE=B8]))/(l^2 + r^2 + s^2 + 2*l*s*Cos[=CE=B8] +
2*l*r*Cos[=CF=95]*Sin[=CE=B8])^(3/2)) = 0
---------------------------------------------------------------------------=
---------------------------------------------------------------------------=
------------


And also, I have another group of equations:


1=2E =CE=B1*=CF=892*(-2*a*=CE=B2 + (a - b)*=CE=B1*Cos[=CE=B8])*Cos[=CF=95=
]^2*Sin[=CE=B8] +
l*m1*r*=CE=BC*=CF=892*Cos[=CE=B8]*Cos[=CF=95]*
(-(1/(l^2 + r^2 + s^2 - 2*l*s*Cos[=CE=B8] - 2*l*r*Cos[=CF=95]*Sin[=CE=
=B8])^(3/2))
+ 1/(l^2 + r^2 + s^2 + 2*l*s*Cos[=CE=B8] + 2*l*r*Cos[=CF=95]*Sin[=CE=B8])^(=
3/2)) +
l*m1*r*=CE=BC*=CF=891*(-(1/(l^2 + r^2 + s^2 - 2*l*s*Cos[=CE=B8] -
2*l*r*Cos[=CF=95]*Sin[=CE=B8])^(3/2)) + 1/(l^2 + r^2 + s^2 + 2*l*s*Cos[=CE=
=B8] +
2*l*r*Cos[=CF=95]*Sin[=CE=B8])^(3/2))*
Sin[=CF=95] + =CF=892*Sin[=CE=B8]*(l*m1*s*=CE=BC*(1/(l^2 + r^2 + s^2 - =
2*l*s*Cos[=CE=B8] -
2*l*r*Cos[=CF=95]*Sin[=CE=B8])^(3/2) -
1/(l^2 + r^2 + s^2 + 2*l*s*Cos[=CE=B8] + 2*l*r*Cos[=CF=95]*Sin[=CE=
=B8])^(3/2))
+ =CE=B1*(-2*a*=CE=B2 + (a - b)*=CE=B1*Cos[=CE=B8])*Sin[=CF=95]^2) = 0
---------------------------------------------------------------------------=
---------------------------------------------------------------------------=
-----------
2=2E (-M)*r*=CE=B1^2 + m1*=CE=BC*(-((l*Cos[=CF=95]*Sin[=CE=B8])/(l^2 + r=
^2 + s^2 -
2*l*(s*Cos[=CE=B8] + r*Cos[=CF=95]*Sin[=CE=B8]))^(3/2)) +
(l*Cos[=CF=95]*Sin[=CE=B8])/(l^2 + r^2 + s^2 + 2*l*(s*Cos[=CE=B8] +
r*Cos[=CF=95]*Sin[=CE=B8]))^(3/2)) = 0
---------------------------------------------------------------------------=
---------------------------------------------------------------------------=
-----------
3=2E m1*=CE=BC*(-((l*Cos[=CE=B8])/(l^2 + r^2 + s^2 - 2*l*(s*Cos[=CE=B8] +
r*Cos[=CF=95]*Sin[=CE=B8]))^(3/2)) +
(l*Cos[=CE=B8])/(l^2 + r^2 + s^2 + 2*l*(s*Cos[=CE=B8] +
r*Cos[=CF=95]*Sin[=CE=B8]))^(3/2)) = 0
---------------------------------------------------------------------------=
---------------------------------------------------------------------------=
-----------



Thanks a lot.




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