MTH 425 Lecture Notes - Lecture 7: Block Diagram

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2: (skill assessment) find the tf for x (s)/f(s) for the following system. 3: (problem 2. 28) find the tf for x (s)/f(s) for the following system. Translational mechanical system transfer functions (tutorial: (cont. ) Rotational mechanical system transfer functions (sec 2. 6 of textbook: rotational mechanical systems are handled the same way as translational mechanical systems, except: Translational spring and viscous damping coefficient force translational displacement mass rotational ones (table 2. 5) 2 function (s)/t(s): where: which can be represented in the form of a block diagram as: Notice again that the form of the equations from the last example are in a now well-known form: Lets now utilize this concept in an example by writing the equations of the system without drawing the free-body diagrams. Example: write the equations of motion for the below rotational mechanical system by inspection: ** note: this is a three degree of freedom system. Using the form developed previously, the form of the equation for j is:

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