Engineering Fundamentals and Applied Science
What this domain tests
Engineering Fundamentals and Applied Science underpins every calculation on the paper: statics and dynamics, thermodynamics, fluid mechanics, electrical principles, and the discipline of units and dimensional consistency. Questions usually present a small physical system and ask for a quantity, a direction, or a plausibility check on a proposed answer.
Core rules
- Carry units through every step; a correct number in the wrong unit is a wrong answer.
- Draw the free-body diagram first: isolate the component, show every force, then apply ΣF = 0 and ΣM = 0.
- Separate gauge and absolute pressure explicitly; add or subtract atmospheric pressure rather than assuming.
- Fluid continuity gives A₁v₁ = A₂v₂, and pump shaft power is P = ρgQH/η.
- Define the system boundary before writing a thermodynamic energy balance.
- Electrical power: P = VI single-phase; P = √3·V_L·I_L·cos φ three-phase.
Worked example
A simply supported beam spans 6 m with a 12 kN point load 2 m from the left support. Taking moments about the left support: R_right × 6 = 12 × 2, so R_right = 4 kN. Vertical equilibrium then gives R_left = 12 − 4 = 8 kN. Checking by taking moments about the right support: R_left × 6 = 12 × 4, so R_left = 8 kN. The two independent checks agree, which is the habit that catches lever-arm and sign errors before they cost marks.
Traps
Using diameter where radius belongs in an area term; forgetting that a uniformly distributed load acts at its centroid; mixing kN and N inside one equation; and writing a reaction as zero without confirming the moment balance.