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#1. df/dt at t=1 for f=x²y, x=t², y=t³:
#2. A mechanical seal differs from packing in that:
#3. An expansion valve in a refrigeration cycle:
#4. A 2-DOF system has mass matrix [m] and stiffness matrix [k]. The eigenvalue problem is:
#5. The Manning equation for open-channel flow velocity is:
#6. The energy grade line (EGL) represents:
#7. The third law of thermodynamics states:
#8. Simpson’s 1/3 rule (2 subintervals) for ∫₀^2 eˣ dx ≈
#9. Thread stripping in a bolted joint is prevented by:
#10. Power factor correction is achieved by adding:
#11. When standards conflict with client wishes, the engineer should:
#12. If i_real=3% and inflation=4%, the combined (market) interest rate is closest to:
#13. Electrical conductivity of metals is highest for:
#14. Air at 25°C and 50% RH is heated to 40°C. The relative humidity:
#15. The flow rate through a rectangular weir (Francis formula):
#16. The Fourier series of f(x)=x on [−π,π] contains only:
#17. The heat transfer rate through a composite cylinder (with convection on both sides) is:
#18. The Peclet number Pe = Re × Pr represents:
#19. A shell-and-tube heat exchanger with one shell pass and two tube passes is classified as:
#20. The settling time of a second-order system (2% criterion) with ζ and ωn:
#21. Solve y′+y = e^(−x), y(0)=0:
#22. Trace of [[5,1,0],[0,3,2],[1,0,−1]]:
#23. Life-cycle cost analysis includes:
#24. Electroplating is used for:
#25. For a shaft under combined bending M and torsion T, the equivalent torque is:
#26. A composite bar of steel and aluminum bonded together and subjected to temperature change. The stress arises because:
#27. The (P/F,i,n) factor equals:
#28. For concurrent coplanar forces in equilibrium, how many independent equations are available?
#29. Faraday’s law states that induced EMF equals:
#30. Double shear in a pin means:
#31. For flow in a converging nozzle from a reservoir (P₀, T₀), the maximum mass flow rate:
#32. I_x for a right triangle about its base (base b, height h):
#33. Fiber-reinforced composites are strongest when loaded:
#34. The distance a freely falling body covers in 3 s (from rest):
#35. The maximum power transfer occurs when load resistance equals:
#36. The zeroth law of thermodynamics establishes:
#37. Weighted average of 80 (wt 3) and 90 (wt 2):
#38. A particle at rest is acted on by F = 6t N for 4 s (m = 2 kg). Final velocity:
#39. The SI unit of electric charge is:
#40. Area of parallelogram with sides i+2j and 3i−j:
#41. Natural convection on a heated vertical plate: the boundary layer:
#42. A thin-walled pressure vessel fails by:
#43. The mass moment of inertia of a solid cone about its axis (mass m, radius R):
#44. The Tresca (maximum shear stress) criterion predicts yielding when:
#45. The moisture content in an HVAC system is controlled by:
#46. Across a normal shock, the Mach number:
#47. The stiffness of an axially loaded bar is:
#48. The moment of inertia of a semicircle of radius r about its diameter is:
#49. A Pratt truss has diagonal members oriented such that under gravity loads the diagonals are in:
#50. A leaf spring stores energy as:
#51. Welding heat-affected zone (HAZ) is the region:
#52. For a beam with overhang, the bending moment at the support near the overhang is:
#53. The LMTD correction factor F for a multi-pass heat exchanger:
#54. A spur gear tooth undergoes __ loading:
#55. The moment area method uses:
#56. Radiation from the sun reaches Earth primarily through:
#57. Signal conditioning includes:
#58. The work done by gravity on a 5-kg object falling 10 m:
#59. The capillary rise in a tube of diameter d is:
#60. A fail-safe design philosophy means:
#61. Mutually exclusive A,B: P(A)=0.3, P(B)=0.4. P(A∪B) =
#62. A body in projectile motion has acceleration:
#63. The relative roughness of a pipe is:
#64. The second moment of area of a T-section is computed by:
#65. The flow in an open channel is characterized by:
#66. A $5,000 investment returns $1,500/year for 4 years. The simple payback period is:
#67. A TTT (Time-Temperature-Transformation) diagram shows:
#68. The power specific speed is used to select:
#69. Hyper-eutectoid steel contains:
#70. The shear force diagram for a cantilever with a point load P at the free end is:
#71. Negligence in engineering involves:
#72. For an ideal gas: cv =
#73. The basic dimension in GD&T is:
#74. The principle of conservation of energy states:
#75. A compound beam is made of two beams connected by an internal hinge. This hinge provides:
#77. The fracture toughness K_IC represents:
#78. Entropy change for an incompressible liquid:
#79. Excess air in combustion:
#80. A piezoelectric sensor:
#81. The primary purpose of a code of ethics is to:
#82. The pitch circle of a gear is:
#83. The hoop stress in a thick-walled cylinder at the inner surface is:
#84. The gas constant R̄ (universal) is:
#85. The Carnot cycle consists of:
#86. A roller bearing has an L₁₀ life exponent of:
#87. Chi-squared test is used to:
#88. A simply supported beam with overhang has a point load at the free end of the overhang. The reaction at the nearer support is:
#89. Nyquist stability criterion uses:
#90. In a welded joint under fatigue loading:
#91. The absorptivity of an opaque surface satisfies:
#92. Engineers issue truthful public statements because:
#93. A horizontal turntable with I=5 kg·m² spins at 4 rad/s. A 2-kg mass is placed at r=0.5 m from center. New ω:
#94. The time constant of an RL circuit with R=20 Ω and L=0.4 H is:
#95. The DE-Goodman criterion for shaft design combines:
#96. A non-Newtonian fluid that becomes less viscous under shear is:
#97. The Stirling cycle consists of:
#98. The resultant of a force system can be a:
#99. For a crank-slider, the mechanical advantage varies with:
#100. The dynamic similarity between model and prototype requires:
#101. The sample variance of {2,4,6} with x̄=4 is:
#102. The frequency ratio at which vibration isolation begins (TR < 1) is:
#103. Dead band (dead zone) in a sensor:
#104. Uniform corrosion is characterized by:
#105. For steady conduction with internal heat generation q̇ in a plane wall (thickness 2L, both sides at T_s):
#106. The static friction between two surfaces can be reduced by:
#107. For a steady-state nozzle, the exit velocity increases when:
#108. The bending moment at the fixed end of a cantilever with a concentrated moment M₀ at the free end:
#109. A 100-N force applied to a 10-kg block on a frictionless surface for 5 s. Final velocity:
#110. The Coriolis coefficient (α) in the energy equation accounts for:
