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#1. Exponential distribution mean with rate λ:

#2. The Wien displacement law states:

#3. NCEES: engineers may accept compensation from multiple parties if:

#4. The overall heat transfer coefficient U for a double-pipe heat exchanger is:

#5. The centroid of a quarter-circle of radius r from the straight edges is at:

#6. In pool boiling, the critical heat flux (CHF) represents:

#7. The fin effectiveness is:

#8. For a system with F(t) = F₀ sin(ωt), the steady-state response amplitude depends on:

#9. A simply supported beam with span 6 m has a 30 kN load at 2 m from the left support. The left reaction is:

#10. Friction force on a block at rest on a surface equals:

#11. A couple has the same moment about:

#12. Powder metallurgy is advantageous for:

#13. % within ±2σ of mean (normal):

#14. Cathodic protection prevents corrosion by:

#15. For a product z = x·y, the relative uncertainty δz/z =

#16. A compressor with η_s = 0.85 compresses air from 100 kPa, 300 K to 800 kPa. The actual exit T (γ=1.4) is closest to:

#17. The hydrostatic force on a submerged plane surface of area A at centroid depth h̄:

#18. For plane strain:

#19. In a purely capacitive AC circuit, the current:

#20. A LVDT (Linear Variable Differential Transformer) measures:

#21. The Stanton number St represents:

#22. For turbulent flow over a flat plate, the skin friction coefficient is approximately:

#23. Fouling in heat exchangers:

#24. Inflation causes the purchasing power of money to:

#25. The potential energy of a 20-kg mass at 5 m height:

#26. The stress in a thick-walled cylinder differs from thin-walled in that:

#27. Normalizing steel involves:

#28. The Clausius statement of the second law:

#29. Intergranular corrosion in stainless steel is caused by:

#30. Random errors in measurements:

#31. The reactive power in an AC circuit is measured in:

#32. The bending moment diagram for a simply supported beam with a point load at center is:

#33. Gasket design must ensure:

#34. For conduction through a spherical shell:

#35. Dimensional analysis using the Buckingham Pi theorem states that if there are n variables and m fundamental dimensions:

#36. An adiabatic mixing chamber:

#37. A transformer with 500 primary turns and 100 secondary turns has a turns ratio of:

#38. The gain margin of a control system is:

#39. Maclaurin series for cos x through x⁴:

#40. The angular acceleration of a wheel that goes from 100 rad/s to 300 rad/s in 10 s:

#41. A spring with k = 200 N/m compressed 0.1 m stores energy:

#42. For a fixed-fixed column, K =

#43. The stagnation pressure of a fluid is:

#44. A gear with 40 teeth meshes with a gear of 20 teeth. The speed ratio (output/input) is:

#45. The present worth of a geometric gradient series with A₁=$1000, g=5%, i=10%, n=4 is closest to:

#46. The payback period is the time required to:

#47. V-belts are preferred over flat belts because:

#48. The inductive reactance of a 0.1-H inductor at 60 Hz is:

#49. Two blocks (5 kg and 3 kg) connected by a string on a frictionless surface; 40-N force on the 5-kg block. The tension in the string is:

#50. A structure with 4 unknown reactions and only 3 equilibrium equations is:

#51. The Euler number represents:

#52. Two dice: P(at least one 6) =

#53. The humidity ratio ω is:

#54. The AGMA surface durability (pitting resistance) formula accounts for:

#55. In lumped capacitance, the time constant τ =

#56. A 4-Ω, 6-Ω, and 12-Ω resistor in parallel have an equivalent resistance of:

#57. The maximum COP of a Carnot refrigerator between 250 K and 300 K:

#58. A torsional pendulum with J = 0.1 kg·m² and k_t = 100 N·m/rad has natural frequency:

#59. In engineering, ‘due diligence’ means:

#60. For combustion, the stoichiometric air-fuel ratio for methane CH₄:

#61. A retaining ring (snap ring) is used to:

#62. Coriolis acceleration has magnitude:

#63. Integrating factor for dy/dx+(2/x)y = x³ is:

#64. For a bolted joint under external tensile load P_ext, with bolt stiffness k_b and member stiffness k_m:

#65. The contact stress (Hertz stress) between two cylinders is proportional to:

#66. The relationship between shear force V and bending moment M in a beam:

#67. Whistleblowing is ethically justified when:

#68. A wheel rotates through 100 radians in 5 s starting from rest with constant α. The angular acceleration is:

#69. MARR stands for:

#70. The Brayton cycle efficiency with pressure ratio rp and γ:

#71. Routh-Hurwitz criterion is used to:

#72. The moment about the z-axis of force F = 10i + 20j N acting at r = 3i + 4j m is:

#73. Superheated steam is:

#74. The fundamental frequency of a shaft carrying a disk (Dunkerley method):

#75. Irreversibilities in real processes include:

#76. The maximum bending stress in a simply supported beam with UDL w:

#77. For similitude between model and prototype, geometric similarity requires:

#78. L{u(t−a)} =

#79. In a Rankine cycle, increasing boiler pressure while maintaining condenser conditions:

#80. Pearlite in steel is a lamellar mixture of:

#81. A set screw holds a component on a shaft by:

#82. A taper pin is used to:

#83. The velocity at the vena contracta of a sharp-edged orifice is:

#84. A frame differs from a truss in that frame members:

#85. The I of an annular cross-section (outer R, inner r) is:

#86. Bearing stress is:

#87. The Colebrook equation is used to find:

#88. The velocity of the center of percussion of a uniform rod (length L) relative to the pivot is:

#89. ∫₀^1∫₀^1∫₀^1 xyz dz dy dx =

#90. A converging-diverging nozzle can produce supersonic flow in:

#91. The resilience of a material is:

#92. The minimum number of members for a stable simple truss with 4 joints is:

#93. The arc length of y = x^(3/2) from x=0 to x=4 is approximately:

#94. A design patent protects:

#95. Total differential of z = x²y−y³ is:

#96. The specific volume of an ideal gas at 200 kPa and 400 K (R=287 J/kgK):

#97. The bulk modulus K relates:

#98. f″(1) for f(x) = x ln x is:

#99. The enthalpy of vaporization (h_fg) decreases as:

#100. A steel wire 3 mm diameter, 2 m long, E=200 GPa, supports 500 N. Elongation:

#101. The Euler buckling formula is valid for columns that are:

#102. A horizontal pipe with constant diameter has a pressure drop of 50 kPa over 100 m. The head loss is:

#103. The transfer formula for moment of inertia I = Ic + Ad² is used when:

#104. The impulse-momentum theorem states:

#105. Open-channel flow is classified as subcritical when:

#106. Carbon fiber reinforced polymer (CFRP) is valued for:

#107. The torque on a pipe bend carrying fluid is found using:

#108. The true stress-true strain curve differs from engineering stress-strain in that:

#109. Mode of {3,5,5,7,8,5,9,8}:

#110. A hollow circular shaft (outer D=100mm, inner d=60mm) under T=5 kN·m. Max shear stress:

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