Question

w a. Obtain the transfer functions X1(s)/U(s) and X2(s)/U(s) of the mechanical system shown in the figure. b. Solve the transfer function to retrieve the information on the response function (as a function of time t) by assuming the m1 = m2 and ki = ki =k3 C. Plot the response function d. Show the impact of doubling the mass m2 = 2m1 on the response function - plot it to compare it with that described in case C

Answer 1

X from given diaqram we can write Ult Mia+kiki+ blå, -ěz) tkz (&, -22) Now by taking loplace transfom Ucs) - Cris? + K+ 6.5 +2.) x631)-(65+k2).X265) meät kalz = 6 că, - %) the cx, -x2) (m2 s² +65 +62 +63) X2 (&) = = (65+ ks) ryts) - eqroby UCS) + Costk22 1945) (mes² + 6stk 24kg) X₂ (3) - 2 miskibsthal 6stka

DATE DO X2 (8) f(mis ² 6st kitka) (m, s²+ 6S+ katkad 65 tkr) 2) =UCSI (BS+ka] 1 X2(S) UCSO Is the (mas2 +65 +6+ks) (M25²765+ katka) from eano (mas2+65 +421kg) (6 stki Ucs) (m, 265th, the 1m 234 6stka tka) fostke)tx,10 Xics] UC32 1 mis²+65+(kitka
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