Important note: For the questions that Matlab is needed, you need to report both the output (i.e., results) of the Matlab and the scripts that you wrote to address the questions.

Question 3 (30 points) Consider a block of mass m attached with a spring of stiffness k that oscillates in a horizontal surface (Figure 1A). The coefficient of static friction between the mass and the surface is c. The response of the system spring-mass to a step input of magnitude 6 X 103N is illustrated in Figure 1B. Using the equation of motion, you need to estimate the values of the mass m, stiffness k and friction c. Figure 1: (A) The system spring-mass that oscillates in a horizantal plane (B) Response of the system to a step input with magnitude 6 x 103N