Fundamentals of Engineering Basic 5 — Questions and Answers
Question 1: What is the moment of inertia used to analyze?
- Resistance to rotational acceleration (Correct answer)
- Resistance to linear acceleration
- Rate of heat transfer
- Electrical impedance
Correct answer: Resistance to rotational acceleration
Moment of inertia (I) is the rotational analog of mass, measuring how difficult it is to change an object's rotational motion.
Question 2: A beam is in static equilibrium. Which two conditions must be satisfied?
- ΣF = 0 and ΣM = 0 (Correct answer)
- ΣF = ma and ΣM = Iα
- ΣF = 0 and ΣM = Iα
- ΣF = ma and ΣM = 0
Correct answer: ΣF = 0 and ΣM = 0
Static equilibrium requires that the sum of all forces and the sum of all moments about any point each equal zero.
Question 3: Which type of stress acts perpendicular to the cross-sectional area of a member?
- Normal (axial) stress (Correct answer)
- Shear stress
- Bearing stress
- Hoop stress
Correct answer: Normal (axial) stress
Normal (axial) stress σ = F/A is the stress component acting perpendicular to the cross-sectional plane.
Question 4: Young's modulus (E) relates stress to:
- Strain (Correct answer)
- Shear stress
- Pressure
- Moment
Correct answer: Strain
Young's modulus is the ratio of normal stress to normal strain: E = σ/ε.
Question 5: Which programming construct allows a block of code to repeat until a condition is false?
- Loop (while/for) (Correct answer)
- If-else statement
- Function call
- Switch statement
Correct answer: Loop (while/for)
Loop structures (while, for, do-while) repeatedly execute a code block as long as the specified condition remains true.
Question 6: In fluid mechanics, Reynolds number is used to predict:
- Flow regime (laminar vs. turbulent) (Correct answer)
- Fluid density
- Pipe diameter
- Viscosity of the fluid
Correct answer: Flow regime (laminar vs. turbulent)
Reynolds number Re = ρVD/μ characterizes whether flow will be laminar (low Re) or turbulent (high Re).
Question 7: What does the derivative dy/dx represent geometrically?
- The slope of the tangent line to the curve y = f(x) (Correct answer)
- The area under the curve y = f(x)
- The length of the curve
- The curvature radius of y = f(x)
Correct answer: The slope of the tangent line to the curve y = f(x)
The derivative dy/dx gives the instantaneous rate of change, which equals the slope of the tangent line at a given point.
Fundamentals of Engineering Basic 5
What is the moment of inertia used to analyze?