MTH 425 Lecture Notes - Lecture 5: Free Body Diagram, Inductor, Capacitor

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Translational mechanical system transfer functions (sec 2. 5 of textbook: many translational systems can be represented by mass, spring, damper, thus we will use those for modeling mechanical systems. Translational mechanical system transfer functions (table 2. 4 in the book) Translational mechanical system transfer functions: mechanical systems parallel electrical systems; there exists many analogies between electrical and mechanical components. Each of the two systems have three passive, linear components: mechanical: two energy-storage elements, spring and the mass, and one energy. Resistor dissipating element, damper: electrical: two energy-storage elements, inductor and capacitor, and one energy dissipating element, resistor. Translational mechanical system transfer functions: additional analogies can be observed by comparing table 2. 3 with table. Example: find the transfer function, x(s)/f(s), for the system below: (step 1) Example cont: (step 3) now write the differential equation of motion using. Newton"s law: (steps 4-5) taking the laplace transform: or, (step 6) now solving for the transfer function: or.

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