Philippine Mechanical Engineering Licensure Examination (MELE) — Questions and Answers
Question 1: In laser beam machining (LBM), the parameter most directly controlling the depth of material removed per pulse is:
- Peak power density (irradiance) at the workpiece surface (Correct answer)
- Wavelength of the laser source
- Assist gas pressure
- Beam diameter at the lens
Correct answer: Peak power density (irradiance) at the workpiece surface
Peak power density (W/cm²) determines whether the threshold for ablation, melting, or vaporization is exceeded and how deeply each pulse penetrates the material.
Question 2: What do you name a person's area of study if they research a fluid that is at rest?
- Fluid Dynamics
- Fluid Mechanics
- Fluid Kinematics
- Fluid Statics (Correct answer)
Correct answer: Fluid Statics
Fluid statics is the specific branch of fluid mechanics dedicated to the study of fluids at rest. It analyzes the forces exerted by fluids when there is no relative motion between fluid particles or between the fluid and its boundaries. This field focuses on concepts like pressure distribution, buoyancy, and hydrostatic forces in stationary fluids.
Question 3: Which phase transformation occurs when austenite is rapidly quenched to form a body-centered tetragonal structure in steel?
- Martensite formation (Correct answer)
- Ferrite formation
- Bainite formation
- Pearlite formation
Correct answer: Martensite formation
Rapid quenching of austenite traps carbon in the BCC iron lattice, distorting it into a BCT martensitic structure.
Question 4: The Diesel cycle differs from the Otto cycle in that heat addition occurs at constant:
- Temperature
- Pressure (Correct answer)
- Volume
- Entropy
Correct answer: Pressure
In the Diesel cycle, fuel injection and combustion occur at constant pressure, unlike the Otto cycle where heat is added at constant volume.
Question 5: What is the primary practical drawback of applying pure derivative (D-only) control action?
- It increases steady-state error to infinity
- It amplifies high-frequency measurement noise (Correct answer)
- It makes the system response slower
- It removes all damping from the response
Correct answer: It amplifies high-frequency measurement noise
Differentiation magnifies rapid signal changes, so a pure derivative controller greatly amplifies high-frequency noise present in measured outputs, making stand-alone D control impractical.
Question 6: A significant composite is GFRP. It represents
- Graphite Fibre Reinforced Polymer
- Glass Fibre Reinforced Polymer (Correct answer)
- Gelatin Fibre Reinforced Polymer
- Germanium Fibre Reinforced Polymer
Correct answer: Glass Fibre Reinforced Polymer
GFRP is a widely recognized composite material used in various engineering applications. The acronym GFRP stands for Glass Fibre Reinforced Polymer. It consists of high-strength glass fibers embedded within a polymer matrix, combining the benefits of both materials to create a strong, lightweight, and versatile composite.
Question 7: The equation of motion for a viscously damped SDOF system under harmonic excitation is:
- mẍ + kx = F₀sin(ωt)
- mẍ + cẋ + kx = F₀sin(ωt) (Correct answer)
- mẍ + kx = 0
- cẋ + kx = F₀
Correct answer: mẍ + cẋ + kx = F₀sin(ωt)
A single degree-of-freedom system with mass m, damping c, and stiffness k under harmonic forcing F₀sin(ωt) is governed by mẍ + cẋ + kx = F₀sin(ωt).
Question 8: A bill of materials (BOM) in a CAD assembly drawing lists:
- Tolerance stack-up calculations
- Manufacturing steps only
- All component parts with quantities, part numbers, and descriptions (Correct answer)
- Surface finish specifications
Correct answer: All component parts with quantities, part numbers, and descriptions
A BOM is a structured list of all components in an assembly, including item numbers, quantities, part numbers, descriptions, and often material and supplier information.
Question 9: Entropy generation during an irreversible process is always:
- Negative
- Zero
- Equal to heat transfer divided by temperature
- Positive (Correct answer)
Correct answer: Positive
The Second Law requires that entropy generation S_gen > 0 for any irreversible process; it is zero only for reversible processes.
Question 10: The strain energy density for a linear elastic body under uniaxial stress σ is:
- σ²/(2E) (Correct answer)
- σε
- Eε²
- σ/(2E)
Correct answer: σ²/(2E)
Strain energy density u = σ²/(2E) = Eε²/2, representing the area under the linear elastic stress-strain curve.
Question 11: For a blackbody, the emissivity (ε) equals:
- 0
- 1 (Correct answer)
- 0.5
- Depends on temperature
Correct answer: 1
A blackbody is an ideal perfect emitter and absorber, defined by emissivity ε = 1; real surfaces have ε < 1.
Question 12: Cavitation in hydraulic machinery occurs when the local fluid pressure drops below the:
- Stagnation pressure
- Vapor pressure of the fluid (Correct answer)
- Atmospheric pressure
- Critical pressure of the fluid
Correct answer: Vapor pressure of the fluid
Cavitation occurs when local static pressure falls below the fluid's vapor pressure, causing vapor bubble formation.
Question 13: Which turning operation produces an internal cylindrical surface?
- Boring (Correct answer)
- Threading
- Knurling
- Facing
Correct answer: Boring
Boring uses a single-point tool to enlarge or finish an existing hole, producing an accurate internal cylindrical surface.
Question 14: What exactly is model testing?
- Performance testing (Correct answer)
- Overall testing
- Function testing
- Partial testing
Correct answer: Performance testing
Model testing in fluid mechanics involves creating scaled-down versions of real-world systems (like aircraft, ships, or hydraulic structures) to predict their behavior. The primary purpose of these tests is to evaluate and predict the performance characteristics of the full-scale prototype under various operating conditions. This allows for design optimization and validation before full-scale construction.
Question 15: Which ceramic failure mode is associated with slow crack growth under sustained static loading below the fracture toughness?
- Ductile fracture
- Static fatigue (stress corrosion cracking) (Correct answer)
- Fatigue fracture
- Creep rupture
Correct answer: Static fatigue (stress corrosion cracking)
Static fatigue in ceramics involves subcritical crack growth driven by chemical attack at crack tips under sustained stress.
Question 16: In a Francis turbine, the guide vanes (wicket gates) are adjustable primarily to:
- Control the flow rate and thus regulate power output (Correct answer)
- Change the direction of the tailrace flow
- Align the draft tube with the runner exit
- Prevent cavitation at the runner inlet
Correct answer: Control the flow rate and thus regulate power output
Adjustable wicket gates vary the angle and quantity of water entering the runner, allowing the turbine output to be regulated to match load demand.
Question 17: In statistical process control (SPC), a process is considered 'out of control' when:
- The sample size exceeds 30 measurements
- A data point falls outside the control limits or a non-random pattern is detected (Correct answer)
- All points fall within the 3-sigma control limits
- The process Cpk exceeds 1.33
Correct answer: A data point falls outside the control limits or a non-random pattern is detected
An out-of-control signal occurs when points exceed 3-sigma limits or when non-random patterns (runs, trends) indicate special cause variation.
Question 18: In electrical discharge machining (EDM), material removal is achieved by:
- Laser ablation through a conductive medium
- Mechanical abrasion from a conductive wheel
- Chemical dissolution in electrolyte
- Controlled electrical sparks eroding the workpiece (Correct answer)
Correct answer: Controlled electrical sparks eroding the workpiece
EDM removes material through rapid electrical discharges (sparks) between the electrode and workpiece, vaporizing small amounts of material.
Question 19: Argon has an isobar of calcium. They vary in:
- Number of nucleons
- Atomic weight
- None of the mentioned
- Number of neutrons (Correct answer)
Correct answer: Number of neutrons
Isobars are atoms of different chemical elements that have the same mass number (total number of protons and neutrons). Since Argon and Calcium are distinct elements, they must have different numbers of protons. For them to share the same mass number, their number of neutrons must necessarily differ to compensate for the varying proton counts. For example, Argon-40 has 18 protons and 22 neutrons, while Calcium-40 has 20 protons and 20 neutrons.
Question 20: In a bolted joint under tensile load, which failure mode is checked first?
- Tensile failure of the bolt shank (Correct answer)
- Shear failure of the nut
- Bearing failure
- Bending failure
Correct answer: Tensile failure of the bolt shank
Tensile failure of the bolt shank is the most critical and commonly checked failure mode in bolted joints under direct tensile loading.
Question 21: In journal bearing design, the Sommerfeld number represents:
- Bearing load capacity
- A dimensionless parameter relating speed, viscosity, load, and geometry (Correct answer)
- Friction force
- Oil film temperature
Correct answer: A dimensionless parameter relating speed, viscosity, load, and geometry
The Sommerfeld number is a dimensionless bearing parameter combining viscosity, speed, load, and bearing geometry used to predict performance.
Question 22: In a fin, the efficiency is defined as the ratio of actual heat transfer to:
- Heat transferred by the base without fin
- Maximum possible heat transfer if the entire fin were at base temperature (Correct answer)
- Heat transferred by radiation
- Heat stored in the fin
Correct answer: Maximum possible heat transfer if the entire fin were at base temperature
Fin efficiency compares actual heat transfer to the ideal case where the whole fin surface is at the base (maximum) temperature.
Question 23: Spiral casing is seen in radial flow reaction turbines and it has the following area:
- Gradually decreases (Correct answer)
- Gradually increases
- Suddenly decreases
- Remains constant
Correct answer: Gradually decreases
The spiral casing, or volute casing, in radial flow reaction turbines is designed with a gradually decreasing cross-sectional area along its length. This design ensures that the water maintains a relatively constant velocity as it flows around the runner towards the guide vanes. By gradually decreasing the area, it helps to distribute the water uniformly around the runner periphery and convert pressure energy into kinetic energy efficiently before the water enters the guide vanes.
Question 24: The 'no-slip condition' in viscous fluid mechanics states that:
- Density is constant near the boundary layer
- The fluid velocity at a solid wall equals the wall velocity (Correct answer)
- Turbulent fluctuations vanish at the wall
- Pressure is continuous across a solid boundary
Correct answer: The fluid velocity at a solid wall equals the wall velocity
The no-slip condition requires that viscous fluid immediately adjacent to a solid surface moves at the same velocity as the surface.
Question 25: What statement about polymers is accurate?
- They do not have a linear stress-strain curve
- They have very high molecular mass
- All of the mentioned (Correct answer)
- They have high strength to mass ratio
Correct answer: All of the mentioned
Polymers are macromolecules characterized by very high molecular masses due to their long, repeating chain structures. Their mechanical behavior often exhibits a non-linear stress-strain curve, reflecting their viscoelastic nature. Additionally, many polymers, especially in composite forms, offer an excellent strength-to-mass ratio, making them ideal for lightweight, high-performance applications. Thus, all the statements accurately describe characteristics of polymers.
Question 26: A species' atomic number is the sum of its:
- Neutrons
- Nucleons
- Protons (Correct answer)
- Valence electrons
Correct answer: Protons
The atomic number of an element is fundamentally defined by the number of protons present in the nucleus of an atom. This number is unique to each element and dictates its chemical identity and position on the periodic table. The number of neutrons can vary (isotopes), and valence electrons are only the outermost electrons, not the defining characteristic of the atomic number.
Question 27: Castigliano's second theorem states that the partial derivative of strain energy U with respect to a force P equals:
- The reaction force at the support
- The bending moment due to P
- The stress at the point of load application
- The deflection at the point and in the direction of P (Correct answer)
Correct answer: The deflection at the point and in the direction of P
Castigliano's second theorem: δ = ∂U/∂P, giving the displacement at the load's point of application in the direction of the load.
Question 28: The volumetric efficiency of a pump accounts for:
- Internal recirculation and leakage reducing useful discharge (Correct answer)
- Bearing and seal mechanical losses
- Hydraulic losses in the suction pipe
- Friction losses in the impeller passages
Correct answer: Internal recirculation and leakage reducing useful discharge
Volumetric efficiency = Q_actual / Q_theoretical, capturing losses due to internal leakage past wearing rings and back through clearances rather than hydraulic or mechanical losses.
Question 29: Which statement correctly describes the difference between Newtonian and non-Newtonian fluids?
- Newtonian fluids have viscosity that varies with shear rate; non-Newtonian fluids do not
- Non-Newtonian fluids obey Bernoulli's equation; Newtonian fluids do not
- Newtonian fluids have constant viscosity; non-Newtonian fluids have viscosity that depends on shear rate (Correct answer)
- Newtonian fluids are always turbulent; non-Newtonian fluids are always laminar
Correct answer: Newtonian fluids have constant viscosity; non-Newtonian fluids have viscosity that depends on shear rate
Newtonian fluids have a linear stress–strain rate relationship (constant μ); non-Newtonian fluids (e.g., blood, paint) exhibit shear-dependent viscosity.
Question 30: Fourier's law of heat conduction states that heat flux is proportional to:
- Temperature
- Specific heat
- Temperature gradient (Correct answer)
- Thermal diffusivity
Correct answer: Temperature gradient
Fourier's law states q = -k(dT/dx), meaning heat flux is directly proportional to the negative temperature gradient.
Question 31: The category of a hydraulic coupling is .
- Energy generating machines
- Energy transfer machines (Correct answer)
- Power absorbing machines
- Energy absorbing machines
Correct answer: Energy transfer machines
A hydraulic coupling is a device used to transmit rotational mechanical power. It functions by transferring kinetic energy from a rotating input shaft (impeller) to an output shaft (turbine) via a fluid, typically oil. Therefore, it falls under the category of energy transfer machines, as it facilitates the movement of energy from one component to another without generating or absorbing it in a net sense.
Philippine Mechanical Engineering Licensure Examination (MELE)
The Philippine Mechanical Engineering Licensure Examination (MELE) is administered by the Professional Regulation Commission (PRC) and tests BME graduates across Mathematics/Engineering Sciences, Power/Industrial Plant Engineering, and Machine Design to earn the Registered Mechanical Engineer (RME) license.
Exam Rules
- You can skip questions and return to them later
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- No feedback shown until you submit the entire exam
- Unanswered questions count as wrong — answer everything
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- Timer auto-submits when time runs out
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