Question

5. Figure 5 shows an electrical network, i) obtain the differential equations of the network and nofind the transfer function F(s) show that the same transfer function is obtained 12(s)/Vin(s); ii) Analyse the circuit in the s-domain and R. C i2(t) Vin(t) L Figure 5. Electrical Network 4. Find the transfer function X2(s)/F(s) of the spring-mass system shown in Figure 4. The system moves over a frictionless surface. h M2 M1 Figure 4. A 2 DOF spring-mass system over a frictionless surface

Answer 1

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mesh- (P-P - apace Aply lapkece CS 2 CS T(s) LS Sbstihtethis CS LS tus26) 7405 -57- )N LS LS

LS V -L'S PdsC) 2- -LS TF- Vin Cs) VI |(67420(51+P)57 Noca Transfan y todorain P2 aso VG we Apply EVL in Mesh-

Ardy CS his CS LS TF- 3 Vin S+tLs tL). LS -LS 34 LCtdts)

Hence veHed ie both 7F isame case K2 we needto d Tf FAS) M Considel MI ma Fon DAlembept 's 2

abave Aply Lapece considep M Coes-2 ma 2 2. e App Lapace

Sabsttk FS) C+bst s2[Eyt#_m}] - s) P(y= X.에r +bstrgsJHthtmsJ FIS st K오 FS)