Question

15) (10 marks) The Fourier series representation of a square wave with amplitude 1 and offset of 1 is: sin((2n-1)aOt] (2n - 1)T a) Write out the first 5 terms of this series (the DC component and 4 harmonics) (2 marks) b) A square wave with amplitude 1, DC offset of 1, and fundamental frequency of 1 rad/s, is passed through a system with the below system response. Write the first 5 terms of the wave after passing through the system. (3 marks) Aout /Ain 1.0 0.5 4.5 5 ω(rad/sec) c) Would a spring-mass-damper system behave any differently inside a space station orbiting the earth than it does on the surface of the earth? Why or why not? (1 marks) d) How could you measure the mass of an astronaut in a zero gravity environment like an orbiting space station? (2 marks) e) Differentiate an ideally damped and a critically damped system in terms of damping ratio and system behaviour. (2 marks)

Answer 1