The mass of the mass–spring–damper system of Figure 11.12(a) is subjected to an externally applied periodic force F(t) = 4 sinωt at time t = 0. Determine the resulting displacement x(t) of the mass at time t, given that x(0) = ẋ (0) = 0, for the two cases

(a) ω = 2 

(b) ω = 5

In the case ω = 5, what would happen to the response if the damper were missing?

Transcribed Image Text:

Figure 11.12 Mass-spring-damper system K = 25 x(t) (a) 00000 M = 1 B=6 F(t)= 4 sin cot F(t)= Kx(t) F(t) = Bx(t) (b) M F(t) = 4 sin wt