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3. Given a mass-spring-damper system, the 2kg mass is connected to two linear springs with stiffness coefficients ki- 100 N/m and ki 150 N/m and a viscous damper with b 50 Ns/m. A constant force of SN is applied as shown. The effect of friction is negligible. ki m b 3.1 [2pts] Determine the equivalent stiffness of the springs. 3.2 [3pts] Draw the free-body diagram of the system. Define the generalized coordinate and label your forces and their direction clearly. Determine the equation of the forces that you found in term of the given system variables, of motion of the system and solve for the system response. You can use any 3.3 (5pts) Determine the equa method discussed in the lecture notes to solve the ODE, but make sure to show your steps clearly. You cannot use MATLAB function to solve the ODE
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