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Engineering
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What is specific strength, also called the strength-to-weight ratio?1 / 9
A material's strength (often its yield stress) divided by its density. It tells you how much load-carrying capability you get for every kilogram of material — not just how strong the material is outright.
AA material that lets electricity flow through it easilyBA material that blocks electricity completelyCA tool used to measure electricityDA type of battery
In a closed-loop control system, what is the error signal e(t)?
AThe output of the plantBThe difference between the setpoint and the measured output: e = r − yCThe integral of the control signalDThe noise from the sensor
Putting a number on "good insulator" Insulation resists heat flow. But "resists heat" is useless for sizing a furnace or checking a building code. R-value is the number: higher R means a given thickness resists heat flow better. Bigger area
Charge stored: Q = CV Two conductive plates, an insulator between them. Apply V, collect Q. Drag the capacitance slider below. Charge climbs straight with voltage, and a bigger capacitor sits on a steeper line. Energy stored: E = ½CV² Charg
Why does pushing fluid through a pipe in turbulent flow take more pumping energy than laminar flow, at the same flow rate?1 / 9
Turbulent eddies constantly churn and mix the fluid, converting useful kinetic energy into heat through internal friction. That extra energy loss has to be made up somewhere, so a pump has to supply more pressure to push the same flow rate through a turbulent pipe than a laminar one.
Engineering
Engineering · L3 · Viscosity in Engineering Practice
Two ways to connect them, two different results One battery supplies only so much voltage, and only for so long. Connecting several helps, but HOW you connect them decides which of those two problems you solve. Series adds voltage Two 1.5 V
Engineering
Engineering · L2 · Combining Batteries: Series vs Parallel
One point that behaves like the whole object Every object has a centre of mass: the single point where you could treat all its mass as concentrated. Support it exactly there and it balances, whatever way up it is. The stability rule The bas
Material choice is one of the first decisions in a design and one of the hardest to reverse. It sets weight, cost, strength, thermal behaviour, corrosion life, how you can make it, and what happens to it afterwards. The four classes at a gl
A bending moment is a turning effect that bends a beam. At any point along the beam it equals a force multiplied by its perpendicular distance from that point: M = F × d.
Why do engineers draw a plan before they build something?
ATo make the drawing look niceBTo agree on the exact size and shape before it costs time and materialsCBecause building without a plan is against the lawDTo avoid using any measurements
Designing for how it'll actually be made A part can be perfect on the CAD screen (right shape, right strength, every dimension to spec) and still be a nightmare to manufacture. DFM is designing so a part is easy, fast and cheap to produce,
State the LQR problem: what system does it control and what cost does it minimise?1 / 4
For the linear time-invariant system ẋ = Ax + Bu, the LQR minimises the infinite-horizon quadratic cost J = ∫₀^∞ (xᵀQx + uᵀRu) dt, where Q ⪰ 0 (positive semi-definite, state penalty) and R ≻ 0 (positive definite, control effort penalty). The matrices Q and R encode the designer's trade-off between state deviation and actuator effort.
The single point where an object's mass can be treated as if it were all concentrated — the balance point. If you could support the object at exactly that point, it would balance in any orientation.