Symbolically Solving a multi-variable system of three equations for three variables
16 Ansichten (letzte 30 Tage)
Ältere Kommentare anzeigen
Aleem Andrew
am 31 Mär. 2020
Kommentiert: Aleem Andrew
am 1 Apr. 2020
How can I find symbolic solutions for a,b, and c expressing them with respect to the other variables using the system of equations
(-2Nsinθ)/3=mL(b)
c=-(5bLcosθ)/6+(5(a^2)Lsinθ)/6
N=m( (5bLsinθ)/6+(5(a^2)L)/6cosθ +3g)
0 Kommentare
Akzeptierte Antwort
Ameer Hamza
am 1 Apr. 2020
Try this
syms a b c N theta m L b g
eq1 = (-2*N*sin(theta))/3==m*L*b;
eq2 = c == -(5*b*L*cos(theta))/6+(5*(a^2)*L*sin(theta))/6;
eq3 = N == m*((5*b*L*sin(theta))/6+(5*(a^2)*L)/6*cos(theta)+3*g);
sol = solve([eq1 eq2 eq3], [a b c]);
Result:
>> sol.a
ans =
-((8*(9*N - 27*g*m + 5*N*sin(theta)^2))/(15*L*m*cos(theta)))^(1/2)/2
((8*(9*N - 27*g*m + 5*N*sin(theta)^2))/(15*L*m*cos(theta)))^(1/2)/2
>> sol.b
ans =
-(2*N*sin(theta))/(3*L*m)
-(2*N*sin(theta))/(3*L*m)
>> sol.c
ans =
(sin(theta)*(9*N - 27*g*m + 5*N*cos(theta)^2 + 5*N*sin(theta)^2))/(9*m*cos(theta))
(sin(theta)*(9*N - 27*g*m + 5*N*cos(theta)^2 + 5*N*sin(theta)^2))/(9*m*cos(theta))
Weitere Antworten (0)
Siehe auch
Kategorien
Mehr zu Equation Solving finden Sie in Help Center und File Exchange
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!