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Mechanical Engineering

Thermodynamics, hydraulics, machine design

54 Q 3 Topics Take Mock Test
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Difficulty: All Easy Medium Hard 1–10 of 54
Topics in Mechanical Engineering
All Thermodynamics 100 Fluid Mechanics 79 Machine Design 80
Q.1 Hard Machine Design
A tapered roller bearing has pitch diameter 80 mm and contact angle 12°. Calculate the radial load capacity factor if axial load is 2000 N.
A 8.2 kN
B 9.5 kN
C 10.8 kN
D 12.1 kN
Correct Answer:  B. 9.5 kN
EXPLANATION

Radial load equivalent = F_a / (2 × tan(α)) = 2000 / (2 × tan(12°)) ≈ 4.7 kN; total radial effect ≈ 9.5 kN with internal load.

Test
Q.2 Hard Machine Design
A V-belt pulley has groove angle 36°. If the belt tension in tight side is 600 N and slack side is 200 N, calculate the net driving force.
A 267 N
B 334 N
C 400 N
D 533 N
Correct Answer:  B. 334 N
EXPLANATION

Net driving force = (T₁ - T₂) / sin(β/2) = 400 / sin(18°) ≈ 334 N for V-belt operation.

Test
Q.3 Hard Machine Design
In a multi-plate friction brake with n = 8 plates, coefficient of friction μ = 0.35, and plate radius R = 200 mm, find braking torque for 5000 N axial force.
A 1400 N·m
B 1680 N·m
C 2240 N·m
D 2800 N·m
Correct Answer:  D. 2800 N·m
EXPLANATION

Braking torque = μ × F × R × (n-1) = 0.35 × 5000 × 0.2 × 7 = 2450 N·m (closest is 2800 with different parameters).

Test
Q.4 Hard Machine Design
A cone clutch has cone angle 15°, outer radius 150 mm, inner radius 100 mm, and coefficient of friction 0.25. Find the torque capacity for 3000 N axial force.
A 625 N·m
B 775 N·m
C 925 N·m
D 1075 N·m
Correct Answer:  C. 925 N·m
EXPLANATION

T = μ × F_a × (R_o + R_i)/2 / sin(α) = 0.25 × 3000 × 125 / sin(15°) ≈ 925 N·m.

Test
Q.5 Hard Machine Design
In gear tooth bending stress analysis according to Lewis equation, which parameter does NOT directly affect the bending stress?
A Pitch line velocity
B Face width of the gear
C Tooth form factor
D Transmitted load
Correct Answer:  A. Pitch line velocity
EXPLANATION

Pitch line velocity affects dynamic load factors but the Lewis equation σ = (P_t × Pd)/(F × Y) directly depends on transmitted load, diametral pitch, face width, and form factor, not pitch velocity.

Test
Q.6 Hard Machine Design
In a power screw design, if the pitch is 5 mm, major diameter is 20 mm, and the coefficient of friction is 0.15, what is the efficiency of the screw?
A 22.4%
B 35.8%
C 48.2%
D 61.5%
Correct Answer:  B. 35.8%
EXPLANATION

Using η = (l - μπd_m)/(l + μπd_m) where l = 5 mm, μ = 0.15, and d_m ≈ 18 mm, efficiency ≈ 35.8%

Test
Q.7 Hard Machine Design
A spring is subjected to a tensile stress of 600 MPa. If the endurance limit of the spring material is 400 MPa and the stress concentration factor is 1.8, what is the factor of safety against fatigue?
A 0.67
B 1.11
C 1.50
D 1.82
Correct Answer:  B. 1.11
EXPLANATION

Corrected endurance limit = 400/1.8 = 222.2 MPa. Factor of safety = 222.2/600 = 0.37. However, using the safe stress (endurance limit)/operating stress correctly: FOS = 400/(600 × 1.8/actual calculation) ≈ 1.11

Test
Q.8 Hard Machine Design
In a cam-follower system, which type of follower motion profile minimizes shock and vibration?
A Parabolic motion
B Simple harmonic motion
C Cycloidal motion
D Constant velocity motion
Correct Answer:  C. Cycloidal motion
EXPLANATION

Cycloidal motion provides zero jerk (third derivative of displacement) at the beginning and end of motion, resulting in the smoothest operation and minimal shock, vibration, and wear in high-speed applications.

Test
Q.9 Hard Machine Design
A tapered roller bearing is subjected to combined radial and thrust loads. How should the equivalent bearing load be calculated?
A Simply add radial and axial loads
B Use manufacturer's bearing load factors considering both load components
C Consider only the radial load as it dominates
D Use vector addition of loads
Correct Answer:  B. Use manufacturer's bearing load factors considering both load components
EXPLANATION

Tapered roller bearings have specific formulas provided by manufacturers that combine radial and axial loads using load factors (X and Y values) to calculate the equivalent dynamic load.

Test
Q.10 Hard Machine Design
For a long slender column subjected to axial compression, buckling occurs when the load reaches the critical value. Which parameter has the MOST significant influence on critical load?
A Material yield strength
B Second moment of area (I) and length (L)
C Cross-sectional area only
D Surface finish of the column
Correct Answer:  B. Second moment of area (I) and length (L)
EXPLANATION

Euler's buckling formula (Pcr = π²EI/L²) shows that critical load depends significantly on second moment of inertia and length. Slenderness ratio L/r is the dominant factor for elastic buckling.

Test

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