NCEES Statics 2 — Questions and Answers
Question 1: A 500 N force acts at a point 2 m from the pivot of a lever. What is the moment about the pivot?
- 250 N·m
- 500 N·m
- 1000 N·m (Correct answer)
- 2500 N·m
Correct answer: 1000 N·m
Moment = Force × perpendicular distance = 500 N × 2 m = 1000 N·m.
Question 2: Which condition must be satisfied for a body to be in static equilibrium?
- ΣF = 0 only
- ΣM = 0 only
- Both ΣF = 0 and ΣM = 0 (Correct answer)
- ΣF > 0 and ΣM = 0
Correct answer: Both ΣF = 0 and ΣM = 0
Static equilibrium requires both the sum of all forces and the sum of all moments to equal zero.
Question 3: A truss joint has forces of 8 kN in member AB and 6 kN in member AC, oriented perpendicularly. What is the resultant force magnitude?
- 2 kN
- 7 kN
- 10 kN (Correct answer)
- 14 kN
Correct answer: 10 kN
Resultant = √(8² + 6²) = √(64 + 36) = √100 = 10 kN by the Pythagorean theorem.
Question 4: A uniform beam of weight 200 N and length 4 m is simply supported at both ends. What is the reaction force at each support?
- 50 N
- 100 N (Correct answer)
- 150 N
- 200 N
Correct answer: 100 N
By symmetry and ΣFy = 0, each support carries half the beam weight: 200/2 = 100 N.
Question 5: What is the unit vector in the direction of vector F = 3i + 4j?
- 0.6i + 0.8j (Correct answer)
- 3i + 4j
- 0.75i + j
- 0.5i + 0.5j
Correct answer: 0.6i + 0.8j
Magnitude = √(9+16) = 5; unit vector = (3/5)i + (4/5)j = 0.6i + 0.8j.
Question 6: In the method of sections for truss analysis, the maximum number of unknown member forces solvable with three equilibrium equations is:
- 2
- 3 (Correct answer)
- 4
- 6
Correct answer: 3
Three independent equilibrium equations (ΣFx, ΣFy, ΣM) allow solving for a maximum of 3 unknown forces.
Question 7: A 10 kN load is applied at the midpoint of a simply supported beam of span 6 m. What is the maximum bending moment?
- 10 kN·m
- 15 kN·m (Correct answer)
- 20 kN·m
- 30 kN·m
Correct answer: 15 kN·m
M_max = PL/4 = 10 × 6 / 4 = 15 kN·m for a midspan point load on a simply supported beam.
NCEES Statics 2
A 500 N force acts at a point 2 m from the pivot of a lever.
What is the moment about the pivot?