Question

Vo k2 X(s) Y(s) CS For particular values of the resistance, capacitance, damping factor and spring stiffness in the two systems above, the transfer function is given below. Use this transfer function for the question below for which the loading is sinusoidal in time with amplitude A and driving frequency o 2s +1 T(s) = 2s +3 Derive explicit formulas for the magnification factor M, and the phase shift φ (of the steady state response) as a function of driving frequency o. The only symbol in your results should be CO

Answer 1

Soluhon R Vo 2. 乙ec B R,C +1 V (8) Vz (3) Tus)-

b Solution Ki F2 = K, ( y-x) 反 Fi clt dt Again cdy- clt take Ja lace on both ầdes (A) 3c + k,

28+3 4 rn an