Applied Mechanics and Design - Online Test
Q1. A concentrated mass m is attached at the centre of a rod of length 2L as shown in the figure. The
rod is kept in a horizontal equilibrium position by a spring of stiffness k. For very small amplitude
of vibration, neglecting the weights of the rod and spring, the undamped natural frequency of the
system is
Answer : Option D
Explaination / Solution:
No Explaination.
Q2. Consider two infinitely long thin concentric tubes of circular cross section as shown in the figure.
If D1 and D2 are the diameters of the inner and outer tubes respectively, then the view factor F22 is given by
Answer : Option D
Explaination / Solution:
No Explaination.
Q3. The homogeneous state of stress for a metal part undergoing plastic deformation is
Where the stress component values are in MPa. Using von Mises yield criterion, the value of
estimated shear yield stress, in MPa is
Answer : Option B
Explaination / Solution:
No Explaination.
Q4. A force of 400 N is applied to the brake drum of 0.5 m diameter in a band-brake system as shown
in the figure, where the wrapping angle is 180°. If the coefficient of friction between the drum
and the band is 0.25, the braking torque applied, in N.m is
Answer : Option B
Explaination / Solution:
No Explaination.
Q5. A solid circular shaft needs to be designed to transmit a torque of 50 N.m. If the allowable shear
stress of the material is 140 MPa, assuming a factor of safety of 2, the minimum allowable design
diameter in mm is
Answer : Option B
Explaination / Solution:
No Explaination.
Q6. Two steel truss members, AC and BC, each having cross sectional area of 100 mm2, are
subjected to a horizontal force F as shown in figure. All the joints are hinged
. If F = 1 kN, the magnitude of the vertical reaction force developed at the point B in kN is
Answer : Option A
Explaination / Solution:
No Explaination.
Q7. Two steel truss members, AC and BC, each having cross sectional area of 100 mm2, are subjected to a horizontal force F as shown in figure. All the joints are hinged
The maximum force F in kN that can be applied at C such that the axial stress in any of the truss
members DOES NOT exceed 100 MPa is
Answer : Option B
Explaination / Solution:
No Explaination.
Q8. If two nodes are observed at a frequency of 1800 rpm during whirling of a simply
supported long slender rotating shaft, the first critical speed of the shaft in rpm is
Answer : Option D
Explaination / Solution:
Since it is simply supported critical speed will be half
Q9. A planar closed kinematic chain is formed with rigid links PQ = 2.0m, QR = 3.0m,
RS = 2.5m and SP = 2.7m with all revolute joints. The link to be fixed to obtain a
double rocker (rocker-rocker) mechanism is
Answer : Option C
Explaination / Solution:
Since for Rocker – Rocker mechanism the link opposite to smaller link
must be fixed
Q10. A compound gear train with gears P, Q, R and S has number of teeth 20, 40,
15 and 20, respectively. Gears Q and R are mounted on the same shaft as
shown in the figure below. The diameter of the gear Q is twice that of the gear
R. If the module of the gear R is 2 mm, the center distance in mm between
gears P and S is
Answer : Option B
Explaination / Solution:
