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1-AUG-2019 SolveSys - Equation Library and Nonlinear Systems Solver
02-13-2017, 12:08 AM (This post was last modified: 02-14-2017 04:02 PM by Han.)
Post: #14
RE: SolveSys - Equation Library and Multiple Equations Solver
Equation Library data (partially completed). With the data below, you can get an idea of what the final version might look like. Please note that it is merely an example of a .lib file and is currently incomplete, or even wrong in some parts as I just recently learned.

If you would like a data file to test, enter the app and copy the list of lists below (easiest if done on emulator), and type:

AFiles("Equation Library.lib"):=<insert copied list of lists below here>

Code:

{
{
  "Elastic Buckling",
  {
    "Pcr=π^2*E*A/((K*L)/r)^2",
    "Pcr=π^2*E*I/(K*L)^2",
    "σcr=Pcr/A",
    "r=√(I/A)"
  },
  { 1,1,1,1 },
  {
    "L", "K", "r", "E", "I", "A", "Pcr", "σcr"
  },
  {
    "Length of column",
    "Effective length factor",
    "Radius of gyration",
    "Modulus of elasticity",
    "Moment of inertia",
    "Cross-sectional area",
    "Critical load",
    "Critical stress"
  },
  { 0,0,0,0,0,0,0,0 },
  { 0,0,0,0,0,0,0,0 },
  "Columns and Beams"
},

{
  "Eccentric Columns",
  {
    "σmax=P/A*(1+ε*c/r^2*(1/COS(K*L/(2*r)*√(P/(E*A)))))",
    "r=√(I/A)"
  },
  { 1,1 },
  {
    "L", "K", "r", "E", "I", "A",
    "ε", "c", "σmax", "P"
  },
  {
    "Length of column",
    "Effective length factor",
    "Radius of gyration",
    "Modulus of elasticity",
    "Moment of Inertia",
    "Cross-sectional area",
    "Eccentricity of load",
    "Distance to edge fiber",
    "Maximum stress",
    "Load"
  },
  { 0,0,0,0,0,0,0,0,0,0 },
  { 0,0,0,0,0,0,0,0,0,0 },
  "Columns and Beams"
},

{
  "Simple Deflection",
  { 
    "y=P*(L-a)*x/(6*L*E*I)*(x^2+(L-a)^2-L^2)-M*x/(E*I)*(c-x^2/(6*L)-L/3-c^2/(2*L))-w*x/(24*E*I)*(L^3+x^2*(x-2*L))"
  },
  { 1 },
  {
    "y", "P", "L", "a", "x", "E", "I", "M", "c", "w"
  },
  {
    "Deflection at x",
    "Point load",
    "Length of beam",
    "Distance to point load",
    "Distance along beam",
    "Modulus of elasticity",
    "Moment of inertia",
    "Applied moment",
    "Dist. to applied moment",
    "Distributed load"
  },
  { 0,0,0,0,0,0,0,0,0,0 },
  { 0,0,0,0,0,0,0,0,0,0 },
  "Columns and Beams"
},

{
  "Simple Slope",
  {
    "Θ=P*(L-a)/(6*L*E*I)*(3*x^2+(L-a)^2-L^2)-M/(E*I)*(c-x^2/(2*L)-L/3-c^2/(2*L))-w/(24*E*I)*(L^3+x^2*(4*x-6*L))"
  },
  { 1 },
  {
    "Θ", "P", "L", "a", "x", "E", "I", "M", "c", "w"
  },
  {
    "Slope x",
    "Point load",
    "Length of beam",
    "Distance to point load",
    "Distance along beam",
    "Modulus of elasticity",
    "Moment of inertia",
    "Applied moment",
    "Dist. to applied moment",
    "Distributed load"
  },
  { 0,0,0,0,0,0,0,0,0,0 },
  { 0,0,0,0,0,0,0,0,0,0 },
  "Columns and Beams"
},

{
  "Simple Moment",
  {
    "Mx=P*(L-a)*x/L+M*x/L+w*x/2*(L-x)"
  },
  { 1 },
  {
    "Mx", "P", "L", "a", "x", "M", "w"
  },
  {
    "Internal moment at x",
    "Point load",
    "Length of beam",
    "Cross-sectional area",
    "Distance along beam",
    "Applied moment",
    "Distributed load"
  },
  { 0,0,0,0,0,0,0 },
  { 0,0,0,0,0,0,0 },
  "Columns and Beams"
},

{
  "Simple Shear",
  {
    "V=P*(L-a)/L+M/L+w/2*(L-2*x)"
  },
  { 1 },
  {
    "V", "P", "L", "a", "M", "w", "x"
  },
  {
    "Shear force at x",
    "Point load",
    "Length of beam",
    "Cross-sectional area",
    "Applied moment",
    "Distributed load",
    "Distance along beam"
  },
  { 0,0,0,0,0,0,0 },
  { 0,0,0,0,0,0,0 },
  "Columns and Beams"
},

{
  "Cantilever Deflection",
  {
    "y=P*x^2/(6*E*I)*(x-3*a)+M*x^2/(2*E*I)-w*x^2/(24*E*I)*(6*L^2-4*L*x+x^2)"
  },
  { 1 },
  {
    "y", "P", "L", "a", "x", "E", "I", "M", "w"
  },
  {
    "Deflection at x",
    "Point load",
    "Length of beam",
    "Distance to point load",
    "Distance along beam",
    "Modulus of elasticity",
    "Moment of inertia",
    "Applied moment",
    "Distributed load"
  },
  { 0,0,0,0,0,0,0,0,0 },
  { 0,0,0,0,0,0,0,0,0 },
  "Columns and Beams"
},

{
  "Cantilever Slope",
  {
    "Θ=P*x/(2*E*I)*(x-2*a)+M*x/(E*I)-w*x/(6*E*I)*(3*L^2-3*L*x+x^2)"
  },
  { 1 },
  {
    "Θ", "P", "L", "a", "x", "E", "I", "M", "w"
  },
  {
    "Slope x",
    "Point load",
    "Length of beam",
    "Distance to point load",
    "Distance along beam",
    "Modulus of elasticity",
    "Moment of inertia",
    "Applied moment",
    "Distributed load"
  },
  { 0,0,0,0,0,0,0,0,0 },
  { 0,0,0,0,0,0,0,0,0 },
  "Columns and Beams"
},

{
  "Cantilever Moment",
  {
    "Mx=P*(x-a)+M-w/2*(L^2-2*L*x+x^2)"
  },
  { 1 },
  {
    "Mx", "P", "L", "a", "x", "M", "w"
  },
  {
    "Internal moment at x",
    "Point load",
    "Length of beam",
    "Cross-sectional area",
    "Distance along beam",
    "Applied moment",
    "Distributed load"
  },
  { 0,0,0,0,0,0,0 },
  { 0,0,0,0,0,0,0 },
  "Columns and Beams"
},

{
  "Cantilever Shear",
  {
    "V=P+w*(L-x)"
  },
  { 1 },
  {
    "V", "P", "L", "x", "w"
  },
  {
    "Shear force at x",
    "Point load",
    "Length of beam",
    "Distance along beam",
    "Distributed load"
  },
  { 0,0,0,0,0 },
  { 0,0,0,0,0 },
  "Columns and Beams"
},

{
  "Coulomb's Law",
  {
    "F=1/(4*π*ε0*εr)*(q1*q2/r^2)"
  },
  { 1 },
  {
    "q1", "q2", "r", "εr", "F", "ε0"
  },
  {
    "Point 1 charge",
    "Point 2 charge",
    "Charge distance",
    "Relative permittivity",
    "Force between charges",
    "(Permittivity Constant)"
  },
  { 0,0,0,0,0,8.85418781762e-12 },
  { 0,0,0,0,0,1 },
  "Electricity"
},

{
  "Ohm's Law and Power",
  {
    "V=I*R",
    "P=V*I",
    "P=I^2*R",
    "P=V^2/R"
  },
  { 1,1,1,1 },
  {
    "V", "I", "R", "P"
  },
  {
    "Voltage",
    "Current",
    "Resistance",
    "Power"
  },
  { 0,0,0,0 },
  { 0,0,0,0 },
  "Electricity"
},

{
  "Voltage Divider",
  {
    "V1=V*(R1/(R1+R2))"
  },
  { 1 },
  {
    "V1", "V", "R1", "R2"
  },
  {
    "Voltage across R1",
    "Total voltage",
    "Resistance 1",
    "Resistance 2"
  },
  { 0,0,0,0 },
  { 0,0,0,0 },
  "Electricity"
},

{
  "Current Divider",
  {
    "I1=I*(R2/(R1+R2))"
  },
  { 1 },
  {
    "I1", "I", "R1", "R2"
  },
  {
    "Current in R1",
    "Total current",
    "Resistance 1",
    "Resistance 2"
  },
  { 0,0,0,0 },
  { 0,0,0,0 },
  "Electricity"
},

{
  "Wire Resistance",
  {
    "R=ρ*L/A"
  },
  { 1 },
  {
    "R", "ρ", "L", "A"
  },
  {
    "Resistance",
    "Resistivity",
    "Length of wire",
    "Cross-sectional area"
  },
  { 0,0,0,0 },
  { 0,0,0,0 },
  "Electricity"
},

{
  "Series/Parallel Resistance",
  {
    "Rs=R1+R2",
    "1/Rp=1/R1+1/R2"
  },
  { 1,1 },
  {
    "Rs", "Rp", "R1", "R2"
  },
  {
    "Series resistance",
    "Parallel resistance",
    "Resistance 1",
    "Resistance 2"
  },
  { 0,0,0,0 },
  { 0,0,0,0 },
  "Electricity"
},

{
  "Series/Parallel Capacitance",
  {
    "Cp=C1+C2",
    "1/Cs=1/C1+1/C2"
  },
  { 1,1 },
  {
    "Cs", "Cp", "C1", "C2"
  },
  {
    "Series capacitance",
    "Parallel capacitance",
    "Capacitance 1",
    "Capacitance 2"
  },
  { 0,0,0,0 },
  { 0,0,0,0 },
  "Electricity"
},

{
  "Series/Parallel Inductance",
  {
    "Ls=l1+l2",
    "1/Lp=1/l1+1/l2"
  },
  { 1,1 },
  {
    "Ls", "Lp", "l1", "l2"
  },
  {
    "Series inductance",
    "Parallel inductance",
    "Inductance 1",
    "Inductance 2"
  },
  { 0,0,0,0 },
  { 0,0,0,0 },
  "Electricity"
},

{
  "Capacitive Energy",
  {
    "E=C*V^2/2"
  },
  { 1 },
  {
    "E", "C", "V"
  },
  {
    "Energy",
    "Capacitance",
    "Voltage"
  },
  { 0,0,0 },
  { 0,0,0 },
  "Electricity"
},

{
  "Inductive Energy",
  {
    "E=L*I^2/2"
  },
  { 1 },
  {
    "E", "L", "I"
  },
  {
    "Energy",
    "Inductance",
    "Current"
  },
  { 0,0,0 },
  { 0,0,0 },
  "Electricity"
},

{
  "RLC Current Delay",
  {
    "TAN(φs)=(XL-XC)/R",
    "TAN(φp)=(1/XC-1/XL)/(1/R)",
    "XC=1/(ω*C)",
    "XL=ω*L",
    "ω=2*π*f"
  },
  { 1,1,1,1,1 },
  {
    "ω", "f", "C", "L", "XC", "XL", "φs", "φp"
  },
  {
    "Angular frequency",
    "Frequency",
    "Capacitance",
    "Inductance",
    "Reactance of capacitor",
    "Reactance of inductor",
    "Series phase angle",
    "Parallel phase angle"
  },
  { 0,0,0,0,0,0,0,0 },
  { 0,0,0,0,0,0,0,0 },
  "Electricity"
},

{
  "DC Capacitor Current",
  {
    "I=C*(ΔV/Δt)",
    "ΔV=Vf-Vi",
    "Δt=tf-ti"
  },
  { 1,1,1 },
  {
    "I", "C", "ΔV", "Vf", "Vi", "Δt", "tf", "ti"
  },
  {
    "Current",
    "Capacitance",
    "Voltage change",
    "Final voltage",
    "Initial voltage",
    "Time change",
    "Final time",
    "Initial time"
  },
  { 0,0,0,0,0,0,0,0 },
  { 0,0,0,0,0,0,0,0 },
  "Electricity"
},

{
  "Capacitor Charge",
  { "q=C*V" },
  { 1 },
  { "q", "C", "V" },
  {
    "Charge",
    "Capacitance",
    "Voltage"
  },
  { 0,0,0 },
  { 0,0,0 },
  "Electricity"
},

{
  "DC Inductor Voltage",
  {
    "V=-L*(ΔI/Δt)",
    "ΔI=I1-I0",
    "Δt=t1-t0"
  },
  { 1,1,1 },
  {
    "V", "L", "ΔI", "I1", "I0", "Δt", "t1", "t0"
  },
  {
    "Voltage",
    "Inductance",
    "Current change",
    "Final current",
    "Initial current",
    "Time change",
    "Final time",
    "Initial time"
  },
  { 0,0,0,0,0,0,0,0 },
  { 0,0,0,0,0,0,0,0 },
  "Electricity"
},

{
  "RC Transient",
  { "V=Vf-(Vf-Vi)*e^((-t)/(R*C))" },
  { 1 },
  {
    "V", "Vf", "Vi", "t", "R", "C"
  },
  {
    "Capacitor voltage",
    "Final voltage",
    "Initial voltage",
    "Time",
    "Resistance",
    "Capacitance"
  },
  { 0,0,0,0,0,0 },
  { 0,0,0,0,0,0 },
  "Electricity"
},

{
  "RL Transient",
  { "I=1/R*(Vf-(Vf-Vi)*e^(-t*R/L))" },
  { 1 },
  {
    "I", "R", "Vf", "Vi", "t", "L"
  },
  {
    "Inductor Current",
    "Resistance", 
    "Final voltage",
    "Initial voltage",
    "Time",
    "Inductance"
  },
  { 0,0,0,0,0,0 },
  { 0,0,0,0,0,0 },
  "Electricity"
},

{
  "Resonant Frequency",
  {
    "ω0=1/√(L*C)",
    "Qs=1/R*√(L/C)",
    "Qp=R*√(C/L)",
    "ω0=2*π*f0"
  },
  { 1,1,1,1 },
  {
    "ω0", "L", "C", "Qs", "Qp", "R", "f0"
  },
  {
    "Resonant angular frequency",
    "Inductance",
    "Capacitance",
    "Series quality factor",
    "Parallel quality factor",
    "Resistance",
    "Resonant frequency"
  },
  { 0,0,0,0,0,0,0 },
  { 0,0,0,0,0,0,0 },
  "Electricity"
},

{
  "Plate Capacitor",
  { "C=(ε0*εr*A)/d" },
  { 1 },
  {
    "C", "εr", "A", "d", "ε0"
  },
  {
    "Capacitance",
    "Relative permittivity",
    "Plate area",
    "Plate separation",
    "(Permittivity Constant)"
  },
  { 0,0,0,0,8.85418781762e-12 },
  { 0,0,0,0,1 },
  "Electricity"
},

{
  "Cylindrical Capacitance",
  { "C=2*π*ε0*εr*L/LN(ro/ri)" },
  { 1 },
  {
    "C", "εr", "L", "ro", "ri", "ε0"
  },
  {
    "Capacitance",
    "Relative permittivity",
    "Length of cylinder",
    "Outside radius",
    "Inside radius",
    "(Permittivity Constant)"
  },
  { 0,0,0,0,0,8.85418781762e-12 },
  { 0,0,0,0,0,1 },
  "Electricity"
},

{
  "Solenoidal Inductance",
  { "L=μ0*μr*n^2*A*h" },
  { 1 },
  {
    "L", "μr", "n", "A", "h", "μ0"
  },
  {
    "Inductance",
    "Relative permeability",
    "Turns per unit length",
    "Cross-sectional area",
    "Length of solenoid",
    "(Permeability Constant)"
  },
  { 0,0,0,0,0,1.25663706144e−6},
  { 0,0,0,0,0,1 },
  "Electricity"
},  

{
  "Toroid Inductance",
  { "L=(μ0*μr*N^2*h)/(2*π)*LN(ro/ri)" },
  { 1 },
  {
    "L", "μr", "N", "h", "ro", "ri", "μ0"
  },
  {
    "Inductance",
    "Relative permeability",
    "Total number of turns",
    "Toroid thickness",
    "Outer radius",
    "Inner radius",
    "(Permeability Constant)"
  },
  { 0,0,0,0,0,0,1.25663706144e−6 },
  { 0,0,0,0,0,0,1 },
  "Electricity"
},

{
  "Sinusoidal Voltage",
  {
    "V=Vmax*SIN(ω*t+φ)",
    "ω=2*π*f"
  },
  { 1,1 },
  {
    "V", "Vmax", "ω", "φ", "t", "f"
  },
  {
    "Voltage",
    "Maximum voltage",
    "Angular frequency",
    "Phase angle",
    "Time",
    "Frequency"
  },
  { 0,0,0,0,0,0 },
  { 0,0,0,0,0,0 },
  "Electricity"
},

{
  "Sinusoidal Current",
  {
    "I=Imax*SIN(ω*t+φ)",
    "ω=2*π*f"
  },
  { 1,1 },
  {
    "I", "Imax", "ω", "φ", "t", "f"
  },
  {
    "Current",
    "Maximum current",
    "Angular frequency",
    "Phase angle",
    "Time",
    "Frequency"
  },
  { 0,0,0,0,0,0 },
  { 0,0,0,0,0,0 },
  "Electricity"
},

{
  "Pressure at Depth",
  { "P=P0+ρ*g*h" },
  { 1 },
  {
    "P", "P0", "ρ", "h", "g"
  },
  {
    "Pressure",
    "Reference pressure",
    "Density",
    "Depth",
    "(Acceleration Constant)"
  },
  { 0,0,0,0,9.80665 },
  { 0,0,0,0,1 },
  "Fluids"
},

{
  "Bernoulli Equation",
  {
    "ΔP/ρ+(v2^2-v1^2)/2+g*Δy=0",
    "ΔP/ρ+v2^2*(1-(A2/A1)^2)/2+g*Δy=0",
    "ΔP/ρ+v1^2*((A1/A2)^2-1)/2+g*Δy=0",
    "ΔP=P2-P1",
    "Δy=y2-y1",
    "M=ρ*Q",
    "Q=A2*v2",
    "Q=A1*v1",
    "A1=(π*D1^2)/4",
    "A2=(π*D2^2)/4"
  },
  { 1,1,1,1,1,1,1,1,1,1 },
  {
    "ΔP", "ρ", "v1", "v2", "Δy", "y1", "y2", "A1", "A2", "Q",
    "P1", "P2", "D1", "D2", "M", "g"
  },
  {
    "Pressure change",
    "Density",
    "Initial velocity",
    "Final velocity",
    "Height change",
    "Initial height",
    "Final height",
    "Initial area",
    "Final area",
    "Volume flow rate",
    "Initial pressure",
    "Final pressure",
    "Initial diameter",
    "Final diameter",
    "Mass flow rate",
    "(Acceleration Constant)"
  },
  { 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9.80665 },
  { 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1 },
  "Fluids"
},

{
  "Flow with Losses",
  {
    "M*(ΔP/ρ+(v2^2-v1^2)/2+g*Δy+hL)=W",
    "M*(ΔP/ρ+v2^2*(1-(A2/A1)^2)/2+g*Δy+hL)=W",
    "M*(ΔP/ρ+v1^2*((A1/A2)^2-1)/2+g*Δy+hL)=W",
    "ΔP=P2-P1",
    "Δy=y2-y1",
    "M=ρ*Q",
    "Q=A2*v2",
    "Q=A1*v1",
    "A1=(π*D1^2)/4",
    "A2=(π*D2^2)/4"
  },
  { 1,1,1,1,1,1,1,1,1,1 },
  {
    "ΔP", "ρ", "v1", "v2", "Δy", "y1", "y2", "A1", "A2", "Q",
    "P1", "P2", "D1", "D2", "M", "W", "hL", "g"
  },
  {
    "Pressure change",
    "Density",
    "Initial velocity",
    "Final velocity",
    "Height change",
    "Initial height",
    "Final height",
    "Initial area",
    "Final area",
    "Volume flow rate",
    "Initial pressure",
    "Final pressure",
    "Initial diameter",
    "Final diameter",
    "Mass flow rate",
    "Power input",
    "Head loss",
    "(Acceleration Constant)"
  },
  { 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9.80665 },
  { 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1 },
  "Fluids"
},

{
  "Flow in Full Pipes",
  {
    "ρ*(π*D^2/4)*vavg*(ΔP/ρ+g*Δy+vavg^2*(2*f*(L/D)+ΣK/2))=W",
    "ΔP=P2-P1",
    "Δy=y2-y1",
    "M=ρ*Q",
    "Q=A*vavg",
    "A=(π*D^2)/4",
    "RN=D*vavg*ρ/μ",
    "n=μ/ρ"
  },
  { 1,1,1,1,1,1,1,1 },
  {
    "ρ", "ΔP", "P1", "P2", "Δy", "y1", "y2", "f", "L", "D",
    "vavg", "W", "ΣK", "M", "RN", "Q", "A", "μ", "n", "g"
  },
  {
    "Density",
    "Pressure change",
    "Initial Pressure",
    "Final Pressure",
    "Height change",
    "Initial height",
    "Final height",
    "f ???",
    "Length",
    "Diameter",
    "Average velocity",
    "Power input",
    "Total fitting coefficients",
    "Mass flow rate",
    "Reynolds number",
    "Volume flow rate",
    "Cross-sectional area",
    "Dynamic viscosity",
    "Kinematic viscosity",
    "(Accelerations Constant)"
  },
  { 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9.80665 },
  { 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1 },
  "Fluids"
},

{
  "Linear Mechanics",
  {
    "F=m*a",
    "Ki=1/2*m*vi^2",
    "Kf=1/2*m*vf^2",
    "W=F*x",
    "W=Kf-Ki",
    "P=F*v",
    "Pavg=W/t",
    "vf=vi+a*t"
  },
  { 1,1,1,1,1,1,1,1 },
  {
    "F", "m", "a", "Ki", "Kf", "vi", "vf", "W", "x", "P", 
    "Pavg", "v", "t"
  },
  {
    "Force",
    "Mass",
    "Acceleration",
    "Initial kinetic energy",
    "Final kinetic energy",
    "Initial velocity",
    "Final velocity",
    "Work",
    "Distance",
    "Instantaneous power",
    "Average power",
    "Velocity",
    "Time"
  },
  { 0,0,0,0,0,0,0,0,0,0,0,0,0 },
  { 0,0,0,0,0,0,0,0,0,0,0,0,0 },
  "Forces and Energy"
},

{
  "Angular Mechanics",
  {
    "τ=I*α",
    "Ki=1/2*I*ωi^2",
    "Kf=1/2*I*ωf^2",
    "W=τ*θ",
    "W=Kf-Ki",
    "P=τ*ω",
    "Pavg=W/t",
    "ωf=ωi+α*t",
    "ta=α*r",
    "ω=2*π*N",
    "ωi=2*π*Ni",
    "ωf=2*π*Nf"
  },
  { 1,1,1,1,1,1,1,1,1,1,1,1 },
  {
    "τ", "I", "α", "Ki", "ωi", "Kf", "ωf", "W", "θ", "P",
    "Pavg", "t", "N", "Ni", "Nf", "r", "ω", "ta"
  },
  {
    "Torque",
    "Moment of inertia",
    "Angular acceleration",
    "Initial kinetic energy",
    "Initial angular velocity",
    "Final kinetic energy",
    "Final angular velocity",
    "Work",
    "Angular displacement",
    "Instantaneous power",
    "Average power",
    "Time",
    "Rotational speed",
    "Initial rotational speed",
    "Final rotational speed",
    "Radius",
    "Angular velocity",
    "Tangential acceleration"
  },
  { 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 },
  { 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 },
  "Forces and Energy"
},

{
  "Centripetal Force",
  {
    "F=m*ω^2*r",
    "ω=v/r",
    "ar=v^2/r",
    "ω=2*π*N"
  },
  { 1,1,1,1 },
  {
    "F", "m", "ω", "r", "v", "ar", "N"
  },
  {
    "Force",
    "Mass",
    "Angular velocity",
    "Radius",
    "Velocity",
    "Centripetal acceleration",
    "Rotational speed"
  },
  { 0,0,0,0,0,0,0 },
  { 0,0,0,0,0,0,0 },
  "Forces and Energy"
},

{
  "Hooke's Law",
  {
    "F=-k*x",
    "W=-1/2*k*x^2"
  },
  { 1,1 },
  {
    "F", "k", "W", "x"
  },
  {
    "Force",
    "Spring constant",
    "Work",
    "Displacement"
  },
  { 0,0,0,0 },
  { 0,0,0,0 },
  "Forces and Energy"
},

{
  "1D Elastic Collisions",
  {
    "v1f=(m1-m2)/(m1+m2)*v1i",
    "v2f=(2*m1)/(m1+m2)*v1i"
  },
  { 1,1 },
  {
    "v1f", "v1i", "v2f", "v2i", "m1", "m2"
  },
  {
    "Object 1 final velocity",
    "Object 1 initial velocity",
    "Object 2 final velocity",
    "Object 2 initial velocity",
    "Object 1 mass",
    "Object 2 mass"
  },
  { 0,0,0,0,0,0 },
  { 0,0,0,0,0,0 },
  "Forces and Energy"
},

{
  "Drag Force",
  { "F=Cd*((ρ*v^2)/2)*A" }, 
  { 1 },
  {
    "F", "Cd", "ρ", "v", "A"
  },
  {
    "Drag force",
    "Drag coefficient",
    "Fluid density",
    "Velocity",
    "Projected area"
  },
  { 0,0,0,0,0 },
  { 0,0,0,0,0 },
  "Forces and Energy"
},

{
  "Law of Gravitation",
  { "F=G*((m1*m2)/r^2)" },
  { 1 },
  {
    "F", "m1", "m2", "r", "G"
  },
  {
    "Force",
    "Mass 1",
    "Mass 2",
    "Separation distance",
    "Attractive force",
    "(Gravitational Constant)"
  },
  { 0,0,0,0,6.67384e-11 },
  { 0,0,0,0,1 },
  "Forces and Energy"
},

{
  "Mass-Energy Relation",
  { "E=m*c^2" },
  { 1 },
  { "E", "m", "c" },
  {
    "Energy",
    "Mass",
    "(Speed of Light Constant)"
  },
  { 0,0,299792458 },
  { 0,0,1 },
  "Forces and Energy"
}
}

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RE: SolveSys - Equation Library and Multiple Equations Solver - Han - 02-13-2017 12:08 AM
Not able to solve a system - rrpalma - 05-05-2019, 08:10 PM



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