NCEES Statics 2

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?

Accepted Answer

1000 N·m

Answer

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?

Accepted Answer

Both ΣF = 0 and ΣM = 0

Answer

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?

Accepted Answer

10 kN

Answer

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?

Accepted Answer

100 N

Answer

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?

Accepted Answer

0.6i + 0.8j

Answer

Magnitude = √(9+16) = 5; unit vector = (3/5)i + (4/5)j = 0.6i + 0.8j.

NCEES Practice Test