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.
A1400 N·m
B1680 N·m
C2240 N·m
D2800 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).
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.
In gear tooth bending stress analysis according to Lewis equation, which parameter does NOT directly affect the bending stress?
APitch line velocity
BFace width of the gear
CTooth form factor
DTransmitted 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.
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?
A0.67
B1.11
C1.50
D1.82
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
In a cam-follower system, which type of follower motion profile minimizes shock and vibration?
AParabolic motion
BSimple harmonic motion
CCycloidal motion
DConstant 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.
A tapered roller bearing is subjected to combined radial and thrust loads. How should the equivalent bearing load be calculated?
ASimply add radial and axial loads
BUse manufacturer's bearing load factors considering both load components
CConsider only the radial load as it dominates
DUse 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.
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?
AMaterial yield strength
BSecond moment of area (I) and length (L)
CCross-sectional area only
DSurface 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.
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