2. [25%] For an unit step function input (Figure 2a), the vibration of the mass-spring system...

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2. [25%] For an unit step function input (Figure 2a), the vibration of the mass-spring system is given by 1 1 Xstep(t): = k k cos(wnt) for > 0 and zero initial conditions (x(0) = 0, x(0) = 0). For a, finite, inverted ramp input (Figure 2b) vibration response of the mass-spring system with zero initial conditions is given by 11 xir (t) == [sin(wt) - t] + [1 - cos(wt)] for 01 <1, and 1 1 xir(t) = [sin(wt) - sin(wn(t 1))] - cos(wt) kwn k for 21. Consider the mass-spring system subjected to F(t) given in Figure 2c. Find x(t). Using the super position painciple Xt will be a summation of the the Ho other/pulses ar F(t) 1 cob (wit) -| (wirst)-t FB F(t) Figure 2a t Figure 2b 2. [25%] For an unit step function input (Figure 2a), the vibration of the mass-spring system is given by 1 1 Xstep(t): = k k cos(wnt) for > 0 and zero initial conditions (x(0) = 0, x(0) = 0). For a, finite, inverted ramp input (Figure 2b) vibration response of the mass-spring system with zero initial conditions is given by 11 xir (t) == [sin(wt) - t] + [1 - cos(wt)] for 01 <1, and 1 1 xir(t) = [sin(wt) - sin(wn(t 1))] - cos(wt) kwn k for 21. Consider the mass-spring system subjected to F(t) given in Figure 2c. Find x(t). Using the super position painciple Xt will be a summation of the the Ho other/pulses ar F(t) 1 cob (wit) -| (wirst)-t FB F(t) Figure 2a t Figure 2b