Home /
Expert Answers /
Mechanical Engineering /
for-each-of-the-following-equations-determine-the-transfer-function-x-s-f-s-and-compute-the-cha-pa175

For each of the following equations, determine the transfer function $X(s)/F(s)$ and compute the characteristic roots. a. $10x?+14x=15f(t)$ b. $6x¨+60x?+126x=7f(t)$ c. $3x¨+30x?+63x=17f(t)$ d. $2x¨+28x?+98x=15f(t)$ e. $4x¨+56x?+232x=8f??(t)+3f(t)$ f. $10x?+14x=6f??(t)+15f(t)$

step by step solutiona.10x?+14x=15f(t)apply Laplace transform and we get,L[10x?+14x]=L[15(ft)]10[s×(s)?x(0)+14x(s)]=L[15F(s)][105+14]×(s)?10x(0)=15F(s