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Fundamentals of Engineering Flashcards

7 cards from real EI practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

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  1. A simply supported beam of length L carries a uniformly distributed load w. What is the maximum bending moment?

    Answer: wL²/8

    For a simply supported beam with UDL, the maximum bending moment at midspan is wL²/8.

  2. The Laplace transform of the unit step function u(t) is:

    Answer: 1/s

    The Laplace transform of the unit step function u(t) is 1/s.

  3. In a Carnot heat engine operating between reservoirs at 800 K and 400 K, what is the maximum thermal efficiency?

    Answer: 50%

    Carnot efficiency = 1 − T_L/T_H = 1 − 400/800 = 0.50 = 50%.

  4. Which law states that the total pressure of a gas mixture equals the sum of partial pressures of each component?

    Answer: Dalton's Law

    Dalton's Law of partial pressures states that total pressure equals the sum of each component's partial pressure.

  5. A 10 Ω resistor and a 40 Ω resistor are connected in parallel. What is the equivalent resistance?

    Answer: 8 Ω

    Parallel resistance: 1/R = 1/10 + 1/40 = 5/40, so R = 8 Ω.

  6. The determinant of the matrix [[3, 1], [2, 4]] is:

    Answer: 10

    det = (3)(4) − (1)(2) = 12 − 2 = 10.

  7. A fluid flows through a pipe that narrows from 0.2 m diameter to 0.1 m diameter. If inlet velocity is 2 m/s, what is the outlet velocity (assume incompressible flow)?

    Answer: 8 m/s

    By continuity: A₁V₁ = A₂V₂; (π/4)(0.2²)(2) = (π/4)(0.1²)V₂, so V₂ = 8 m/s.