Find the response of the system described in Problem 2.179 using MATLAB.

Data From Problem 2.179:-

The mass of a spring-mass system vibrates on a dry surface inclined at \(30^{\circ}\) to the horizontal as shown in Fig. 2.123.

a. Derive the equation of motion.

b. Find the response of the system for the following data:
\[m=20 \mathrm{~kg}, \quad k=1000 \mathrm{~N} / \mathrm{m}, \quad \mu=0.1, \quad x_{0}=0.1 \mathrm{~m}, \quad \dot{x}_{0}=5 \mathrm{~m} / \mathrm{s}\]

Data From Matlab Program:-

Transcribed Image Text:

k m x(t) 0000 30 FIGURE 2.123 Spring-mass system on inclined plane.