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Fundamentals of Engineering Cheat Sheet 2026

The 30 highest-yield Fundamentals of Engineering facts, distilled from real exam questions. Print it, save it as a PDF, or study it here β€” free, no sign-up.

110 questions
340 min time limit
70% to pass
  1. When comparing two mutually exclusive alternatives using IRR, which approach is correct? β†’ Calculate the IRR on the incremental cash flow between alternatives
  2. What is the coordination number (number of nearest neighbors) for an atom in a face-centered cubic (FCC) structure? β†’ 12
  3. Which integration technique is best suited for ∫ xΒ·eΛ£ dx? β†’ Integration by parts
  4. What's the name for a polymer with characteristics similar to rubber? β†’ Elastomer
  5. Until a steel contains at least what percentage of chromium, can it be eligible for the stainless prefix? β†’ 10%
  6. In statistics, what does a p-value less than 0.05 typically indicate? β†’ The result is statistically significant at the 5% level
  7. A benefit-cost (B/C) ratio greater than 1.0 for a public project indicates: β†’ Benefits exceed costs and the project is economically justified
  8. In projectile motion (neglecting air resistance), which component of velocity remains constant? β†’ Horizontal velocity
  9. In an elastic collision between two objects, which quantities are conserved? β†’ Both momentum and kinetic energy
  10. In probability, if events A and B are mutually exclusive, then P(A βˆͺ B) equals: β†’ P(A) + P(B)
  11. What is the hydrostatic pressure at a depth h in a fluid of density ρ? β†’ ρgh
  12. In a series RLC circuit at resonance, what is the impedance? β†’ Equal to R (purely resistive)
  13. For a body to be in static equilibrium, the sum of all forces and the sum of all moments must each equal: β†’ Zero
  14. What is the centroid location (Θ³) of a rectangle with height h measured from its base? β†’ h/2
  15. What is the payback period for a project with an initial cost of $100,000 and uniform annual net cash flow of $25,000? β†’ 4 years
  16. Which of the following is a thermosetting polymer? β†’ Epoxy resin
  17. What is the cutoff frequency of a first-order RC low-pass filter with R = 1 kΞ© and C = 1 ΞΌF? β†’ ~159 Hz
  18. Which method of economic comparison finds the interest rate that makes NPV = 0? β†’ Internal Rate of Return (IRR)
  19. What is the capital recovery (CR) cost of an asset? β†’ The equivalent annual cost of owning and financing the asset
  20. Which depreciation method gives the highest depreciation expense in the early years of an asset's life? β†’ Double declining balance (DDB)
  21. What is the unit of angular momentum in the SI system? β†’ kgΒ·mΒ²/s
  22. Which economic analysis method converts all costs and benefits to an equivalent annual amount? β†’ Annual Worth (AW) method
  23. Stagnation pressure in compressible flow is the pressure measured at a point where: β†’ The flow velocity is reduced to zero isentropically
  24. What is the specific heat ratio (Ξ³ = Cp/Cv) for a diatomic ideal gas at standard conditions? β†’ 1.4
  25. What is the breakeven point in engineering economics? β†’ The output level where total revenue equals total cost
  26. What is the dot product of vectors A = (2, 3, 1) and B = (1, -1, 4)? β†’ 3
  27. A wheel rolls without slipping. If the center moves at velocity v, what is the velocity of the contact point? β†’ Zero
  28. What is the thermodynamic process called when pressure remains constant? β†’ Isobaric process
  29. What is the solution to the linear differential equation y'' + 4y = 0? β†’ y = C₁cos(2x) + Cβ‚‚sin(2x)
  30. What is meant by MES? β†’ Manufacturing execution system
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