How can i solve this equation ?

Hi

How can i solve the attached equation to find a ?

When Mt, It, hs and hp are known.

Answer 1

[Star Strider]

If you have the Symbolic Math Toolbox, use the solve function:

syms a hs hp Mt 
It = Mt * (a^2/6 + ((a + hs)/2 + hp)^2);
a_sol = solve(It, a)
a_sol_simp = simplify(a_sol, 'Steps',10)

a_sol = 
 - (6*hp)/5 - (3*hs)/5 - (6^(1/2)*hp*2i)/5 - (6^(1/2)*hs*1i)/5
 - (6*hp)/5 - (3*hs)/5 + (6^(1/2)*hp*2i)/5 + (6^(1/2)*hs*1i)/5

a_sol_simp = 
 -((3 + 6^(1/2)*1i)*(2*hp + hs))/5
 ((2*hp + hs)*(6^(1/2) + 3i)*1i)/5

[Mallouli Marwa]

Thanks a lot

[Star Strider]

My pleasure.