How can i solve this equation ?

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Mallouli Marwa
Mallouli Marwa 2017-1-18
评论： Star Strider 2017-1-18
Hi
How can i solve the attached equation to find a ?
When Mt, It, hs and hp are known.

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Star Strider
Star Strider 2017-1-18
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

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