f(t) For a mass-spring system (Figure 2), show the transfer function of force f(t) to displacement x(t) is: m x(s) = 1/ motion, 7m x(t) %3D F(s) s+k/ k Using the standard form of an oscillator below, find the equation for the time domain response of this system (hint, rearrange the transfer function into the standard form first). Sketch the graph of this response (see Lecture 3). Figure 2: Mass-spring system with the input f(t). = sin (ot) What would the output look like after an hour? Is this what you would expect from a real world system? What is missing from this system, and what could be added to this system to make it more realistic? Draw a diagram of the new system, and give the transfer function in standard form. Sketch the response of this new, more realistic system.