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Given the the mass-spring-damper system in Figure 3.10, assume that the contact forces are viscous friction. 1. State the number of degrees of freedom in the system.

2. Derive the equations of motion and state them in matrix notation. 3. If f(t) = a (a constant), what is the long term state of the system? 4. If the forcing is f(t) = A sin(ωt), and the system parameters are given in Table 3.1, simulate the response from rest. Plot all the positions on the same graph, and the velocities on another. After the initial transient, what is the steady-state average position? Discuss why the steady-state average is not zero

3.10 A multi-dof mechanical system Given the the mass-spring-damper system in Figure 3.10, assume that the contact forces are viscous friction 1. State the number of degrees of freedom in the system.

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