Simplify F(s) = X1(m1 s^2 + k) - KX2

[hamadee]

hii guys
i have a problem on simplifying this

F(s) = X1(m1 s^2 + k) - KX2
0 = X2(m1 s^2 + k) - kx1

take x1 to have value
x1= X2(m1 s^2 + k)/k

F(s) = X2(m1 s^2 + k)/k . (m1 s^2 + k) - kX2

X2 [(m1 s^2 + k)^2 -k / k]


now we cover m1 and k by 1 because in the question they have detrmind them by 1
soo

X2 [(1 s^2 + 1)^2 - 1 / 1]

soo what can i do after


they need in the question X2(s)/F(s)



can you help me please on doing this

 

[e^(i Pi)+1=0]

Turn the 1/1 into 1 (why on Earth would you leave it like that), expand the squared term and go from there.

 

[hamadee]

how to expand the squared

using this form (a^2 + 2ab + b^2) ?

1/ (s^4 + 2s^2 + 1)

then using partial fraction

 

[Mark44]

Shouldn't it be 1/(s^4 + 2s^2 + 1 - 1)?