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Engineering: explore STEM content (page 11 of 27) · openstem
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Search the community's STEM library — free to study, yours to make your own.
Engineering
Circuits, mechanics, materials and design on openstem — flashcards, notes, quizzes, sketches and flowcharts shared by the community. Study free, or clone anything into your library.
The workhorse of industrial feedback control. One error signal, three ways of reacting to it. The error is e(t) = setpoint − measured output. Everything below acts on that. Effect of each gain Ziegler-Nichols tuning (ultimate gain method) A
What formula gives the center of mass of two point masses along a line?1 / 7
The weighted average of their positions: x_cm = (m₁x₁ + m₂x₂) / (m₁ + m₂). Each mass's position is weighted by how much mass it carries, so heavier masses pull the center of mass toward themselves.
Reynolds decomposition Split every field into a time-mean and a fluctuation about it. The mean is what you want to predict; the fluctuation is what makes it hard. Substitute into incompressible Navier-Stokes and time-average. Everything lin
Engineering
Engineering · L5 · Turbulence: Reynolds Decomposition & Energy Cascade
What are the two conditions for static equilibrium of a rigid body?1 / 12
ΣF = 0 (net force is zero in all directions) AND Στ = 0 (net torque is zero about any point). Both must be satisfied simultaneously. In 2D this gives three scalar equations: ΣFx = 0, ΣFy = 0, ΣM_A = 0.
KVL (Kirchhoff's Voltage Law): the sum of voltages around any closed loop is zero — based on conservation of energy. KCL (Kirchhoff's Current Law): the sum of currents entering a node equals the sum leaving — based on conservation of charge. Together they are the foundation of all circuit analysis.
Engineering
Engineering · L4 · Electric Circuits — DC & AC Analysis