Applied Mechanics and Design - Online Test
Q1. Consider a slider crank mechanism with nonzero masses and inertia. A constant torque τ is applied on
the crank as shown in the figure. Which of the following plots best resembles variation of crank angle, θ versus time
Answer : Option B
Explaination / Solution:
No Explaination.
Q2. Among the four normal distributions
with probability density functions as
shown below, which one has the lowest
variance?
Answer : Option D
Explaination / Solution:
We have Probability distribution
function of Normal Distribution
σ also lowest
If σ decreases
f(x) increases (∵ from (1))
Curve will have highest peak
Q3. A machine element is subjected to the following bi-axial state of stress; σx = 80 MPa; σy = 20
MPa; τxy = 40MPa. If the shear strength of the material is 100 MPa, the factor of safety as
per Tresca‟s maximum shear stress theory is
Answer : Option B
Explaination / Solution:
Q4. For the truss shown in figure, the magnitude of the force in member PR and the support reaction at R
are respectively
Answer : Option C
Explaination / Solution:
Q5. A pinion with radius r1, and inertia I1 is driving a gear with radius r2 and inertia I2. Torque τ1 is applied on pinion. The following are free body diagrams of pinion and gear showing
important forces (F1 and F2) of interaction. Which of the following relations hold true?
Answer : Option D
Explaination / Solution:
F1 = F2 [Vertical equilibrium]
For Gear 1 For Gear 2
Q6. In the assembly shown below, the part dimensions are:
L1 = 22.0±0.01mm,
L2 = L3 = 10.0±0.005mm.
Assuming the normal distribution of part dimensions, the dimension L4 in mm for assembly
condition would be:
Answer : Option D
Explaination / Solution:
Since all dimensions have bilateral tolerances
Tolerance is calculated assuming L4 to be sink and tolerance of sink will be cumulative sum
of all tolerances
Q7. The input link O2P of a four bar linkage is rotated at 2 rad/s in counter clockwise
direction as shown below. The angular velocity of the coupler PQ in rad/s, at an
instant when O4O2P = 180o, is
Answer : Option C
Explaination / Solution:
No Explaination.
Q8. The natural frequency of the system shown below is
Answer : Option A
Explaination / Solution:
Q9. The piston rod of diameter 20 mm and length 700 mm in a hydraulic cylinder is
subjected to a compressive force of 10 kN due to the internal pressure. The end
conditions for the rod may be assumed as guided at the piston end and hinged
at the other end. The Young’s modulus is 200 GPa. The factor of safety for the
piston rod is
Answer : Option C
Explaination / Solution:
Elusive: Difficult to answer.
Q10. A thin walled spherical shell is subjected to an internal pressure. If the radius of the shell is
increased by 1% and the thickness is reduced by 1%, with the internal pressure remaining the
same, the percentage change in the circumferential (hoop) stress is
Answer : Option D
Explaination / Solution:
