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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. What is the moment of inertia of a solid circular cross-section of diameter d about its centroidal axis?

    Answer: πd⁴/64

    The area moment of inertia of a solid circle is I = πd⁴/64.

  2. In engineering economics, a project has a first cost of $50,000 and annual net benefits of $12,000 for 6 years at 8% interest. The benefit-cost ratio is closest to:

    Answer: 1.14

    PW of benefits = 12,000 × (P/A, 8%, 6) = 12,000 × 4.623 = $55,476; BCR = 55,476/50,000 ≈ 1.11, closest to 1.14.

  3. A block weighing 500 N rests on a surface with a coefficient of static friction of 0.4. What minimum horizontal force is required to start moving it?

    Answer: 200 N

    F = μₛN = 0.4 × 500 = 200 N.

  4. Which differential equation correctly models simple harmonic motion?

    Answer: d²x/dt² + ω²x = 0

    Simple harmonic motion is described by d²x/dt² + ω²x = 0, whose solution is sinusoidal.

  5. The FIRST law of thermodynamics for a closed system in differential form is:

    Answer: dU = δQ − δW

    The first law for a closed system is dU = δQ − δW, where W is work done BY the system.

  6. In fluid mechanics, the Reynolds number is defined as:

    Answer: ρVL/μ

    Reynolds number Re = ρVL/μ, representing the ratio of inertial to viscous forces.

  7. The derivative of ln(x) with respect to x is:

    Answer: 1/x

    d/dx[ln(x)] = 1/x for x > 0.