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#1. The shear stress in a fillet weld of throat a and length l under force F:

#2. In an air-conditioning process, dehumidification occurs when:

#3. The specific gas constant R for air is approximately:

#4. A worm gear drive provides:

#5. A particle moves on a circular path of radius 2 m at constant speed 6 m/s. The angular velocity is:

#6. The drag force on a body in a fluid is:

#7. The Marin factors for endurance limit include:

#8. The unit vector of v = 3i−4j is:

#9. Thermal strain in an unconstrained bar due to temperature change ΔT:

#10. The shear flow q in a thin-walled section is:

#11. Error propagation: if z = x + y and uncertainties are δx and δy, then δz =

#12. The Dittus-Boelter equation Nu = 0.023 Re^0.8 Pr^n applies to:

#13. In a simple truss, the relationship between members m, joints j is:

#14. In the ε-NTU method, NTU is:

#15. The Clausius inequality states:

#16. The product of inertia Ixy equals zero when:

#17. Area between y = x² and y = x from 0 to 1:

#18. The capitalized cost of a perpetual annual payment A at interest rate i is:

#19. A 50-lb weight hangs from two cables making 45° and 60° with the horizontal. Using equilibrium, T₁ (45° cable) is closest to:

#20. A 1000-N block on a 30° incline (μs=0.4) requires what force parallel to the incline to prevent sliding down?

#21. Kinetic friction force on a 50-kg block sliding on a surface with μk = 0.3:

#22. The reheat Rankine cycle adds:

#23. Fits in engineering (clearance, transition, interference) are defined by:

#24. The resistance to convection at a surface is:

#25. A 10-Ω and 15-Ω resistor in series carry 2 A. The total voltage is:

#26. Evaluate lim(x→0) sin(3x)/x.

#27. D’Alembert’s principle adds what fictitious force to create static equilibrium?

#28. A spline connection on a shaft:

#29. A chain drive compared to a belt drive:

#30. Moment of inertia of a triangle (base b, height h) about its base:

#31. The boundary layer thickness on a flat plate increases:

#32. A gray surface has:

#33. The x-coordinate of the centroid of a composite area made of a 4×6 rectangle and a 3×3 square placed to its right (touching) is found using:

#34. Castigliano’s theorem relates:

#35. An engineer as expert witness should:

#36. A car rounds a flat curve of radius 100 m at 20 m/s. The centripetal acceleration is:

#37. E[X] for P(1)=0.3, P(2)=0.5, P(3)=0.2:

#38. A uniform disk of mass 5 kg and radius 0.2 m has I about its center:

#39. The free-body diagram of a body includes:

#40. For a Newtonian fluid, shear stress is:

#41. Pitting corrosion is:

#42. Heat transfer through a composite wall in series: the total resistance is:

#43. Ohm’s law in its basic form is:

#44. A beam’s curvature 1/ρ is related to bending moment by:

#45. An opportunity cost is:

#46. A closed-loop system with negative feedback has transfer function:

#47. The energy stored in an inductor L carrying current I is:

#48. When a pump operates at its best efficiency point (BEP):

#49. Titanium alloys are used in aerospace because:

#50. The back-work ratio of a gas turbine cycle:

#51. The view factor F₁₂ from surface 1 to surface 2 satisfies:

#52. A 0.5-kg ball is thrown upward at 10 m/s. At maximum height, its momentum is:

#53. Two mutually exclusive alternatives are compared using the incremental rate of return. The increment is justified if:

#54. For a very long fin with insulated tip, the temperature distribution:

#55. P(A)=0.6, P(B|A)=0.3. P(A∩B) =

#56. The maximum shear stress from Mohr’s circle equals:

#57. An accelerometer measures:

#58. The surface tension of a liquid:

#59. The factor of safety is:

#60. The capacitive reactance of a 50-μF capacitor at 60 Hz is closest to:

#61. In a vapor-compression refrigeration cycle, the compressor:

#62. A beam is statically determinate if it has:

#63. A Carnot engine produces 100 kW from a 800 K source rejecting heat at 400 K. The heat input rate:

#64. The surface roughness specification Ra represents:

#65. Entropy change for an ideal gas: Δs = cp ln(T₂/T₁) − R ln(P₂/P₁). For an isentropic process:

#66. The Rayleigh number Ra = Gr × Pr is used in:

#67. The Bode plot consists of:

#68. For a state of pure shear (σx=σy=0, τxy=τ), the principal stresses are:

#69. Public welfare obligation includes:

#70. For a mixture of ideal gases, the mole fraction yᵢ:

#71. Relative velocity: car A at 60 km/h east, car B at 40 km/h west. The velocity of A relative to B is:

#72. The eutectic reaction in a phase diagram is:

#73. Gauge pressure equals:

#74. A slab of mass m slides down a smooth incline of angle θ. The normal force is:

#75. A fixed support provides how many reactions in 2D?

#76. Cold working increases:

#77. Plagiarizing another engineer’s work violates:

#78. Pascal’s law states that:

#79. The Rockwell C hardness test uses:

#80. A disc brake’s torque capacity compared to a drum brake of similar size:

#81. Fatigue failure typically initiates at:

#82. The glass transition temperature Tg of a polymer is:

#83. Bearing L₁₀ life means:

#84. The power transmitted by a shaft at torque T and angular velocity ω:

#85. Forging produces parts with:

#86. A propped cantilever beam is:

#87. A trademark protects:

#88. The logarithmic decrement δ of a damped free vibration is related to ζ by:

#89. The lift coefficient C_L is defined as:

#90. The transmissibility ratio at ω/ωn = √2 and ζ = 0 is:

#91. The critical pressure ratio for air (γ=1.4) in isentropic flow:

#92. Double-declining balance depreciation for an asset worth $10,000 with 5-year life in year 1:

#93. The bandwidth of a measurement system is:

#94. Solve 2x+y=5, x−y=1:

#95. The heating value of a fuel is:

#96. The instantaneous center of zero velocity (IC) for a wheel rolling without slip is at:

#97. SE of mean for n=64, σ=16:

#98. If det(A)=4 for a 3×3 matrix, then det(2A) =

#99. d/dx[arctan x] =

#100. For subsonic isentropic flow in a converging nozzle, the maximum Mach number at the throat is:

#101. The pressure variation in an incompressible fluid at rest:

#102. For a balanced 3-phase system, V_line = √3 × V_phase for a __ connection:

#103. The Hagen-Poiseuille equation for laminar flow gives:

#104. The mean effective pressure (MEP) of a cycle:

#105. The resultant of two forces of 100 N each at 60° to each other is:

#106. The fatigue stress concentration factor K_f is related to K_t by:

#107. An isochoric (constant volume) process has:

#108. ∫ dx/(x²+9) =

#109. The strain energy per unit volume for uniaxial stress σ in a linear elastic material:

#110. Type I error occurs when:

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