Applied Mechanics and Design - Online Test
Q1. A solid disc of radius r rolls without slipping on a horizontal floor with angular velocity ω and
angular acceleration α. The magnitude of the acceleration of the point of contact on the disc is
Answer : Option D
Explaination / Solution:
Tangential acceleration will be zero, radial acceleration will exist.
Hence, Total acceleration = rω2
Q2. The following are the data for two crossed helical gears used for speed reduction:
Gear I : Pitch circle diameter in the plane of rotation 80 mm and helix angle 30°
Gear II : Pitch circle diameter in the plane of rotation 120 mm and helix angle 22.5°
If the input speed is 1440 rpm, the output speed in rpm is
Answer : Option C
Explaination / Solution:
For helical gears
Q3. For an opaque surface, the absorptivity (α), transmissivity (τ) and reflectivity (ρ) are related by
the equation:
Answer : Option B
Explaination / Solution:
No Explaination.
Q4. In an interchangeable assembly, shafts of size 
mm mate with holes of size 
mm. The maximum interference (in macrons) in the assembly is
mm mate with holes of size mm. The maximum interference (in macrons) in the assembly is
Answer : Option C
Explaination / Solution:
+ 0.040
– 0.010
Shaft size 25.000 mm
24 mm 90 µm < d5 < 25 mm 40 µm
+ 0.030
+ 0.020
Hole size 
25 mm 20 µm < dh < 25 mm 30 µm
Max Interference
= Max shaft size – Min Hole size
= 25 mm 40 µm – 25 mm 20 µm
= 20 µm
Q5. For a long slender column of uniform cross section the ratio of critical buckling load for the case
with both ends clamped to the case with both ends hinged is
Answer : Option C
Explaination / Solution:
Critical buckling load for both end clamped = 
Critical buckling load for both end hinged = 
Ratio = 4
Q6. A cantilever beam of length L is subjected to a moment M at the free end. The moment of inertia
of the beam cross section about the neutral axis is l and the Young’s modulus is E. The magnitude
of the maximum deflection is
Answer : Option A
Explaination / Solution:
No Explaination.
Q7. A circular solid disc of uniform thickness 20 mm, radius 200 mm and mass 20 kg, is used as a
flywheel. If it rotates at 600 rpm, the kinetic energy of the flywheel, in Joules is
Answer : Option B
Explaination / Solution:
Q8. In the mechanism given below, if the angular velocity of the eccentric circular disc is 1 rad/s, the
angular velocity (rad/s) of the follower link for the instant shown in the figure is
Answer : Option B
Explaination / Solution:
Q9. A solid cylinder of diameter 100 mm and height 50 mm is forged between two frictionless flat
dies to a height of 25 mm. The percentage change in diameter is
Answer : Option D
Explaination / Solution:
Q10. The state of stress at a point under plane stress condition is σxx = 40 MPa, σyy = 100 MPa and τxy = 40 MPa The radius of the Mohr’s circle representing the given state of stress in MPa is
Answer : Option B
Explaination / Solution:
