Figure 1 shows a simple mechanical system. Consider fv is the damping coefficients of the dampers, M is the mass of the subcomponents. K is the spring constants. Force is applied on mass M. a)     Construct a free-body-diagram (FBD) for each subcomponents of the system. Write all the subcomponents’ equations in S-domain. ANSWER : Force on Mass (FM) is to the : Force on Spring (FK) is to the : Force on Damper (Ffv) is to the :

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Figure 1 shows a simple mechanical system. Consider fis the damping coefficients of the dampers, M is the mass of the subcomponents. K is the spring constants. Force is applied on mass M.

a)     Construct a free-body-diagram (FBD) for each subcomponents of the system. Write all the subcomponents’ equations in S-domain.

ANSWER :

Force on Mass (FM) is to the :

Force on Spring (FK) is to the :

Force on Damper (Ffv) is to the :

x(t)
K
ell
M
- f(t)
fv
Transcribed Image Text:x(t) K ell M - f(t) fv
b) Formulate frequency-domain equations based on your answer in a).
ANSWER :
The frequency domain equation is
c) Consider if fv=1 Ns/m, K=1 N/m and M=1 kg solve for the transfer function below
X(s)
G(s)=
F(s)
ANSWER :
X(s)
as2+bs+e
%3D
F(s) ds2+es+f
a 3=
b =
C =
d =
e =
Transcribed Image Text:b) Formulate frequency-domain equations based on your answer in a). ANSWER : The frequency domain equation is c) Consider if fv=1 Ns/m, K=1 N/m and M=1 kg solve for the transfer function below X(s) G(s)= F(s) ANSWER : X(s) as2+bs+e %3D F(s) ds2+es+f a 3= b = C = d = e =
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