Consider the mass-spring-damper system in Problem 6 of Problem Set 5.2. Assume that the force acting on the mass block is a unit-impulse function with a magnitude of \(100 \mathrm{~N}\) and a duration of \(0.1 \mathrm{sec}\). The parameter values are \(m=500 \mathrm{~kg}, b=250 \mathrm{~N} \cdot \mathrm{s} / \mathrm{m}\), and \(k=200,000 \mathrm{~N} / \mathrm{m}\).

Data From Problem 6 of Problem Set 5.2:

The system shown in Figure 5.42 simulates a machine supported by rubbers, which are approximated as four identical spring–damper units. The input is the force f and the output is the displacement x of the mass. The parameter values are m = 500 kg, b = 250 N·s/m, and k = 200,000 N/m.

a. Build a Simulink model based on the differential equation of motion of the system and find the displacement output \(x(t)\).

b. Build a Simscape model of the physical system and find the displacement output \(x(t)\).

Transcribed Image Text:

FIGURE 5.42 Problem 6. m