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#1. The velocity profile for laminar flow in a circular pipe is:
#2. Zero-force members in a truss:
#3. The Diesel cycle differs from Otto in that heat addition is at:
#4. An RTD (Resistance Temperature Detector) works by:
#5. The moment of inertia of a circle of diameter d about its centroidal axis is:
#6. A hydraulic cylinder with piston area A and pressure P produces force:
#7. The flow coefficient for a sharp-edged orifice is approximately:
#8. Poisson λ=4: P(X=2) ≈
#9. For a rectangular beam b×h, the maximum shear stress due to transverse shear V is:
#10. For an isothermal ideal gas process, work =
#11. The shear modulus G of steel with E=200 GPa and ν=0.3 is:
#12. Aluminum is commonly used in aerospace because of its:
#13. The transfer function of a system relates:
#14. The COP of a Carnot heat pump between 300 K and 250 K:
#15. Newton’s second law for rotation: ΣM = Iα. A disk with I=0.5 kg·m² subject to 10 N·m has α =
#16. The iron-carbon phase diagram shows that the eutectoid composition is:
#17. The Brinell hardness test uses:
#18. The Taylor expansion of ln x about x=1 through (x−1)² is:
#19. A force couple consists of:
#20. A conflict of interest exists when an engineer:
#21. The damping ratio ζ of a critically damped system equals:
#22. Varignon’s theorem states that the moment of a force equals:
#23. The parallel axis theorem states: I = I_c + Ad². Here d is:
#24. Saturated liquid water at 100°C has specific enthalpy h_f approximately:
#25. Two resistors of 4 Ω and 12 Ω in parallel give:
#26. A manometer shows a mercury column height of 200 mm. The gauge pressure (ρ_Hg=13,600 kg/m³) is:
#27. The effective annual rate for 12% compounded monthly is closest to:
#28. In a counter-flow heat exchanger compared to parallel flow:
#29. In linear regression y=a+bx with b=2.5, x̄=3, ȳ=10, the intercept a =
#30. Evaluate ∫₀^1 x·eˣ dx.
#31. The curl of F = yz i + xz j + xy k is:
#32. Depreciation using the straight-line method for an asset costing $50,000 with $5,000 salvage over 10 years is:
#33. Tempering of martensite is performed to:
#34. A clutch or brake’s torque capacity depends on:
#35. Heat conduction through a cylindrical wall: R =
#36. The tangential acceleration of a point on a wheel of radius 0.5 m with angular acceleration 10 rad/s² is:
#37. For a steady-state open system (control volume), the energy equation is:
#38. In a throttling process (valve, orifice):
#39. The affinity laws for pumps state that flow is proportional to:
#40. The Moody chart is used to:
#41. The angle of repose for a block on an incline with μs = 0.577 is closest to:
#42. A PID controller has three components:
#43. A cantilever beam of length L with a point load P at the free end has max moment at:
#44. The impedance of a series RL circuit with R=30 Ω and X_L=40 Ω is:
#45. Kirchhoff’s current law states that:
#46. Psychrometry deals with:
#47. The hydraulic diameter for a square duct of side a is:
#49. The endurance limit (fatigue limit) of a material is:
#50. Percent elongation at failure measures a material’s:
#51. The thermal efficiency of the Otto cycle depends on:
#52. The method of joints for trusses assumes:
#53. Hooke’s law in 1D is:
#54. Reliability in mechanical design is:
#55. The endurance limit modification factors account for:
#56. The divergence of F = x²i + y²j + z²k at (1,2,3) is:
#57. The Goodman line for fatigue design plots:
#58. For an isentropic flow, the stagnation temperature T₀ is related to static temperature T by:
#59. The present worth of $1,000 received 5 years from now at 6% is closest to:
#60. The maximum deflection of a simply supported beam with central load P is:
#61. An annuity of $2,000/year for 8 years at 5% has a present worth closest to:
#62. Thermal conductivity k is highest for:
#63. The Lewis equation for gear tooth bending stress:
#64. A 10-m simply supported beam has a 20 kN/m UDL over its entire span. The reaction at each support is:
#65. Sand casting is characterized by:
#66. Stress corrosion cracking requires:
#67. The momentum equation for a control volume in the x-direction:
#68. The angle of twist of a shaft is:
#69. The power required to lift a 200-kg mass at 3 m/s is:
#70. The solution to dy/dx = 2y, y(0) = 3 is:
#71. A key connecting a shaft to a hub fails in:
#72. A trade secret differs from a patent in that it:
#73. Two objects (m₁=3 kg at 4 m/s and m₂=2 kg at rest) undergo perfectly inelastic collision. Final velocity:
#74. A ball is dropped from 20 m. Its velocity just before hitting the ground is closest to:
#75. Precision refers to:
#76. P(A)=0.4, P(B)=0.5, A and B independent. P(A∩B) =
#77. The lumped capacitance method for transient heat transfer is valid when:
#78. A second-order system with ζ < 1 exhibits:
#79. The critical radius of insulation for a cylinder:
#80. The Brayton cycle models:
#81. A particle moves along x = 3t²−2t+1. The acceleration is:
#82. A mass-spring-damper system has ωn=10 rad/s and ζ=0.1. The damped natural frequency is closest to:
#83. Sample of 25: x̄=100, s=10. 95% CI ≈
#84. A steel bar (E=29×10⁶ psi) of 1-in² cross-section under 20,000 lb has strain:
#85. The range of a projectile launched at angle θ with velocity v₀ on level ground is:
#86. The second law of thermodynamics states that:
#87. A statically indeterminate bar fixed at both ends with axial load at midpoint is solved using:
#88. An adiabatic process has:
#89. The pressure angle in spur gears affects:
#90. Enthalpy is defined as:
#91. The emissivity of a blackbody is:
#92. A body in circular motion at constant speed has:
#93. Radiation between two gray surfaces uses:
#94. A Pitot-static tube measures:
#95. The time constant of an RC circuit with R=100 kΩ, C=10 μF is:
#96. Sustainable development means:
#97. The eigenvalues of [[4,2],[1,3]] are:
#98. Cavitation occurs when:
#99. In a planetary gear train, the fundamental equation relates:
#100. Interference fit (press fit) creates:
#101. Using the trapezoidal rule with one interval, approximate ∫₀^2 x² dx.
#102. The moment of inertia of a uniform rod of mass m, length L about its center is:
#103. A 600-N force acts along a line from (0,0,0) to (3,4,0). The x-component is:
#104. In combined loading, the von Mises stress is:
#105. Magnetic flux density B is measured in:
#106. An engineer should decline an assignment when:
#107. The Prandtl number Pr = ν/α represents:
#108. The center of pressure on a submerged vertical plate is:
#109. The specific gravity of a fluid with density 800 kg/m³ is:
#110. The maximum bending moment in a cantilever beam with UDL w over length L:
