MAE 1351 Final Comprehensive Exam
ACTUAL EXAM 2026/2027: 100% Verified
Questions & Correct Answers
Question 1: A force vector F = 3i + 4j + 12k N acts on a particle. What is the magnitude of this
force?
A. 12.0 N
B. 13.0 N
C. 15.2 N
D. 19.0 N
Correct Answer: B
Rationale: Magnitude = √(3² + 4² + 12²) = √(9 + 16 + 144) = √169 = 13.0 N
Question 2: A simply supported beam carries a concentrated load of 500 N at its center. If the
beam span is 4 meters, what are the reaction forces at each support?
A. 200 N at each support
B. 250 N at each support
C. 500 N at each support
D. 1000 N at each support
Correct Answer: B
,Rationale: By symmetry and equilibrium equations: ΣFy = 0, RA + RB = 500 N. Taking moments
about one end gives RA = RB = 250 N.
Question 3: A steel rod (E = 200 GPa) with cross-sectional area of 100 mm² is subjected to an axial
tensile force of 20 kN. What is the axial stress in the rod?
A. 0.2 MPa
B. 200 MPa
C. 20 MPa
D. 2000 MPa
Correct Answer: B
Rationale: Stress σ = P/A = (20,000 N)/(100 mm²) = 200 N/mm² = 200 MPa
Question 4: A particle moves along a straight line with velocity v = 3t² + 2t m/s, where t is in
seconds. What is its acceleration at t = 2 seconds?
A. 6 m/s²
B. 14 m/s²
C. 8 m/s²
D. 16 m/s²
Correct Answer: B
Rationale: Acceleration a = dv/dt = 6t + 2. At t = 2 s: a = 6(2) + 2 = 14 m/s²
,Question 5: A closed system undergoes a process where 500 kJ of heat is added and the system
does 300 kJ of work. What is the change in internal energy?
A. -200 kJ
B. 200 kJ
C. 800 kJ
D. 500 kJ
Correct Answer: B
Rationale: From First Law of Thermodynamics: ΔU = Q - W = 500 kJ - 300 kJ = 200 kJ
Question 6: A truss member carries an axial force of 50 kN in compression. If the member has a
cross-sectional area of 500 mm², what is the axial stress?
A. 100 MPa (tension)
B. 100 MPa (compression)
C. 0.1 MPa (compression)
D. 10 MPa (tension)
Correct Answer: B
Rationale: Stress σ = P/A = (50,000 N)/(500 mm²) = 100 N/mm² = 100 MPa (negative for
compression)
Question 7: A 50 kg block rests on a horizontal surface with coefficient of static friction μ = 0.3.
What minimum force is required to start the block moving?
A. 15 N
B. 147 N
C. 500 N
, D. 50 N
Correct Answer: B
Rationale: Fs = μs × N = 0.3 × mg = 0.3 × 50 kg × 9.81 m/s² = 147.15 N ≈ 147 N
Question 8: A cantilever beam of length L carries a uniform distributed load w. What is the
maximum bending moment?
A. wL²/4
B. wL²/2
C. wL²/8
D. wL
Correct Answer: B
Rationale: For cantilever with UDL, maximum moment occurs at fixed end: Mmax = wL²/2
Question 9: A gas undergoes an isothermal process. If the initial pressure is 200 kPa and volume
doubles, what is the final pressure?
A. 400 kPa
B. 100 kPa
C. 200 kPa
D. 50 kPa
Correct Answer: B
Rationale: For isothermal process: P₁V₁ = P₂V₂. If V₂ = 2V₁, then P₂ = P₁/2 = 200 kPa/2 = 100 kPa
ACTUAL EXAM 2026/2027: 100% Verified
Questions & Correct Answers
Question 1: A force vector F = 3i + 4j + 12k N acts on a particle. What is the magnitude of this
force?
A. 12.0 N
B. 13.0 N
C. 15.2 N
D. 19.0 N
Correct Answer: B
Rationale: Magnitude = √(3² + 4² + 12²) = √(9 + 16 + 144) = √169 = 13.0 N
Question 2: A simply supported beam carries a concentrated load of 500 N at its center. If the
beam span is 4 meters, what are the reaction forces at each support?
A. 200 N at each support
B. 250 N at each support
C. 500 N at each support
D. 1000 N at each support
Correct Answer: B
,Rationale: By symmetry and equilibrium equations: ΣFy = 0, RA + RB = 500 N. Taking moments
about one end gives RA = RB = 250 N.
Question 3: A steel rod (E = 200 GPa) with cross-sectional area of 100 mm² is subjected to an axial
tensile force of 20 kN. What is the axial stress in the rod?
A. 0.2 MPa
B. 200 MPa
C. 20 MPa
D. 2000 MPa
Correct Answer: B
Rationale: Stress σ = P/A = (20,000 N)/(100 mm²) = 200 N/mm² = 200 MPa
Question 4: A particle moves along a straight line with velocity v = 3t² + 2t m/s, where t is in
seconds. What is its acceleration at t = 2 seconds?
A. 6 m/s²
B. 14 m/s²
C. 8 m/s²
D. 16 m/s²
Correct Answer: B
Rationale: Acceleration a = dv/dt = 6t + 2. At t = 2 s: a = 6(2) + 2 = 14 m/s²
,Question 5: A closed system undergoes a process where 500 kJ of heat is added and the system
does 300 kJ of work. What is the change in internal energy?
A. -200 kJ
B. 200 kJ
C. 800 kJ
D. 500 kJ
Correct Answer: B
Rationale: From First Law of Thermodynamics: ΔU = Q - W = 500 kJ - 300 kJ = 200 kJ
Question 6: A truss member carries an axial force of 50 kN in compression. If the member has a
cross-sectional area of 500 mm², what is the axial stress?
A. 100 MPa (tension)
B. 100 MPa (compression)
C. 0.1 MPa (compression)
D. 10 MPa (tension)
Correct Answer: B
Rationale: Stress σ = P/A = (50,000 N)/(500 mm²) = 100 N/mm² = 100 MPa (negative for
compression)
Question 7: A 50 kg block rests on a horizontal surface with coefficient of static friction μ = 0.3.
What minimum force is required to start the block moving?
A. 15 N
B. 147 N
C. 500 N
, D. 50 N
Correct Answer: B
Rationale: Fs = μs × N = 0.3 × mg = 0.3 × 50 kg × 9.81 m/s² = 147.15 N ≈ 147 N
Question 8: A cantilever beam of length L carries a uniform distributed load w. What is the
maximum bending moment?
A. wL²/4
B. wL²/2
C. wL²/8
D. wL
Correct Answer: B
Rationale: For cantilever with UDL, maximum moment occurs at fixed end: Mmax = wL²/2
Question 9: A gas undergoes an isothermal process. If the initial pressure is 200 kPa and volume
doubles, what is the final pressure?
A. 400 kPa
B. 100 kPa
C. 200 kPa
D. 50 kPa
Correct Answer: B
Rationale: For isothermal process: P₁V₁ = P₂V₂. If V₂ = 2V₁, then P₂ = P₁/2 = 200 kPa/2 = 100 kPa
