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#1. The modified Goodman diagram includes:

#2. The NPSH (Net Positive Suction Head) available must be:

#3. The benefit-cost ratio (B/C) is acceptable when:

#4. The Froude number is the ratio of:

#5. Cast iron compared to steel typically has:

#6. Three forces of 10 N, 20 N, and 30 N act at a point along the +x, +y, and −x directions. The resultant is:

#7. Stainless steel resists corrosion primarily because of:

#8. A normal shock wave in compressible flow:

#9. The power coefficient for a fan relates:

#10. The work-energy theorem states that the net work on a particle equals:

#11. A DC motor draws 10 A at 240 V and produces 2 hp of mechanical output. Its efficiency is closest to:

#12. A gear train with input speed 1800 RPM and gear ratio 3:1 has output speed:

#13. Coulomb’s law states the force between two charges is proportional to:

#14. The dew point temperature is:

#15. The Wahl correction factor for helical springs accounts for:

#16. The inverse Laplace transform of 5/(s²+25) is:

#17. Kirchhoff’s law of radiation states that for a body in thermal equilibrium:

#18. The steady-state error of a type-0 system to a step input:

#19. A cylindrical pressure vessel with radius r, thickness t, and internal pressure p has hoop stress:

#20. A fluid at rest:

#21. A brake lining material should have:

#22. Stress concentration factor K_t is defined as:

#23. A pin support provides:

#24. An adhesive joint is strongest in:

#25. A venturi meter measures flow rate using:

#26. Systematic error (bias) in measurements:

#27. Fins are used to:

#28. The air-standard assumption means:

#29. Evaluate ∫₀^1 ∫₀^x 2xy dy dx.

#30. A distributed load of w N/m over length L is equivalent to a point load of:

#31. The ideal regenerative Rankine cycle uses:

#32. Natural (free) convection is driven by:

#33. In an AC circuit, the power factor is defined as:

#34. Annealing of steel involves:

#35. The radius of gyration k of a section with I=450 cm⁴ and A=50 cm² is:

#36. The Grashof number represents:

#37. Polymers are classified as:

#38. The minor loss coefficient K for a sudden expansion from area A₁ to A₂:

#39. ∂f/∂x of f(x,y) = x³y² + sin(xy) at (π,0) is:

#40. The effective length factor K for a column fixed at one end and free at the other:

#41. Water flows at 2 m/s through a 100-mm pipe. The volume flow rate is:

#42. The particular solution of y″−y = e^(2x) is:

#43. A 4-kg block slides down a frictionless 30° incline from rest. After 3 m, its speed is:

#44. For the method of sections, a maximum of how many unknowns can be solved per cut?

#45. The magnification factor at resonance for an undamped forced vibration system is:

#46. A lever rule on a phase diagram is used to:

#47. The pressure at the center of a rotating fluid in a tank (forced vortex):

#48. A W-shape beam has I = 200×10⁶ mm⁴ and centroid depth = 200 mm. The section modulus S is:

#49. A roller support provides:

#50. The Soderberg line for fatigue is more conservative than Goodman because it uses:

#51. The mass flow rate through a steam turbine: ṁ = 2 kg/s, h₁ = 3400 kJ/kg, h₂ = 2600 kJ/kg. Power:

#52. Forced convection correlations typically have the form:

#53. The resolution of an instrument is:

#54. The isentropic efficiency of a turbine:

#55. The polar moment of inertia of a solid circle of radius r is:

#56. In a block diagram, two blocks in series have overall transfer function:

#57. A pressure transducer typically converts pressure to:

#58. The neutral axis in bending passes through:

#59. Euler’s turbomachinery equation relates:

#60. For a real gas, the compressibility factor Z:

#61. The Fourier number Fo = αt/L² represents:

#62. Life-cycle analysis considers:

#63. The Charpy impact test measures:

#64. Normal strain is defined as:

#65. The specific speed of a pump is used to:

#66. For an ideal gas undergoing a polytropic process PVⁿ = const, work =

#67. Gibbs phase rule: F = C − P + 2. For pure water (C=1) at a triple point (P=3):

#68. The Weber number represents the ratio of:

#69. The maximum deflection of a cantilever beam with end load P:

#70. Wet-bulb temperature in psychrometrics is:

#71. The velocity of point B on a rigid body rotating about A is v_B = ω × r_B/A. If ω = 5 rad/s and r = 0.3 m:

#72. A thin-walled pressure vessel has an internal pressure of 2 MPa, radius 500 mm, thickness 10 mm. Hoop stress:

#73. Copyright protects:

#74. Thermal diffusivity α = k/(ρcp) has units of:

#75. A PE stamps documents to indicate:

#76. The radius of curvature of the path at a point where v = 10 m/s and a_n = 5 m/s² is:

#77. The radius of Mohr’s circle for σx=100 MPa, σy=40 MPa, τxy=30 MPa is:

#78. Tolerance stack-up in an assembly:

#79. A four-bar linkage has how many degrees of freedom?

#80. The voltage across a 0.5-H inductor when current changes at 4 A/s is:

#81. A heat exchanger with ε = 0.8 and Q_max = 100 kW transfers:

#82. Median of {12,5,8,15,3,20,7}:

#83. Fixed costs are costs that:

#84. The superposition principle applies when:

#85. Availability (exergy) is:

#86. A ball bearing’s basic dynamic load rating C is related to life L₁₀ by:

#87. The slenderness ratio of a column is:

#88. The centroid of a semicircle of radius r from its diameter is at:

#89. The resonant frequency of an LC circuit with L=10 mH and C=100 μF is closest to:

#90. A pneumatic actuator differs from hydraulic in that:

#91. A gradient series increases by $500 each year for 5 years starting from $0 at end of year 1. At i=10%, P is found using:

#92. For standard normal Z, P(Z<1.96) ≈

#93. A heat engine receives 500 kJ from a hot source and rejects 300 kJ. Its efficiency:

#94. Solve: ln(2x+1) = 3.

#95. Relative humidity is:

#96. A 1500-kg car traveling at 20 m/s brakes to a stop. The kinetic energy dissipated is:

#97. The equivalent annual cost of a $20,000 machine with 5-year life at 8% and $2,000 salvage is closest to:

#98. The mass moment of inertia of a solid sphere about its diameter is:

#99. Asked to certify work not under their supervision, an engineer should:

#100. A × B for A = 3i+j−2k, B = i−2j+k is:

#101. Injection molding is primarily used for:

#102. r = −0.85 indicates:

#103. The radius of convergence of Σ xⁿ/n! is:

#104. In a two-degree-of-freedom system, the number of natural frequencies is:

#105. Conservation of angular momentum states that in the absence of external torques:

#106. Variance of uniform distribution on [a,b]:

#107. A belt wrapped around a drum with μs=0.25 and contact angle 180° (π rad) has T₁/T₂ =

#108. The ductile-to-brittle transition temperature (DBTT) is important for:

#109. The axial stress in a thin-walled spherical pressure vessel:

#110. A slider-crank mechanism with crank radius r rotating at ω has piston displacement x = r cos θ + √(l²−r²sin²θ). For l≫r, the velocity is approximately:

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