FE Exam: Fundamentals of Engineering Review

In calculus, what is the derivative of the natural logarithm of x, d/dx(ln x)?

1/x

What is the formula for integration by parts?

Integral of u dv = uv - Integral of v du

How is the determinant of a 2x2 matrix [a, b; c, d] calculated?

ad - bc

According to the NCEES Model Rules, what is the engineer's paramount obligation?

To protect the safety, health, and welfare of the public.

What action must an engineer take if their professional judgment is overruled under circumstances where the safety of the public is endangered?

Inform their employer or client and the appropriate authority.

What are the three equations of equilibrium for a 2D rigid body?

Sum of forces in x = 0, Sum of forces in y = 0, and Sum of moments about any point = 0.

In truss analysis, what identifies a zero-force member at a joint with two non-collinear members and no external load?

Both members are zero-force members.

What is the distance from the base to the centroid of a triangle with height h?

h/3

State the Work-Energy Principle for a particle.

The work done by all forces acting on a particle equals the change in its kinetic energy (W = ΔKE).

What is the relationship between impulse and linear momentum?

Impulse equals the change in linear momentum (F * Δt = m * Δv).