Mechanical Engineering - Online Test
Q1. An automotive engine weighing 240kg is supported on four springs with linear characteristics.
Each of the front two springs have a stiffness of 16MN/m while the stiffness of each rear spring is
32MN/m. The engine speed (in rpm), at which resonance is likely to occur, is
Answer : Option A
Explaination / Solution:
No Explaination.
Q2. The maximum velocity of a one-dimensional incompressible fully developed
viscous flow, between two fixed parallel plates, is 6ms-1. The mean velocity (in
ms-1) of the flow is
Answer : Option C
Explaination / Solution:
No Explaination.
Q3. Match each differential equation in Group I to its family of solution curves from Group II
Answer : Option B
Explaination / Solution:
Q4. A vehicle suspension system consists of a spring and a damper. The stiffness of the spring is
3.6kN/m and the damping constant of the damper is 400Ns/m. If the mass is 50kg, then the
damping factor (d) and damped natural frequency (fn), respectively, are
Answer : Option A
Explaination / Solution:
No Explaination.
Q5. A turbo-charged four-stroke direct injection diesel engine has a displacement
volume of 0.0259m3 (25.9litres). The engine has an output of 950kW at
2200rpm. The mean effective pressure in MPa is closest to
Answer : Option C
Explaination / Solution:
No Explaination.
Q6. The Eigen values of following matrix are
Answer : Option D
Explaination / Solution:
Sum of the principal diagonal element of matrix is equal to the sum of Eigen values. Sum of the diagonal element is -1 - 1 + 3 = 1.In only option (D), the sum of Eigen values is 1.
Q7. A frame of two arms of equal length L is shown in the below figure. The flexural rigidity of each
arm of the frame is EI. The vertical deflection at the point of application of load P is 
Answer : Option D
Explaination / Solution:
No Explaination.
Q8. One kilogram of water at room temperature is brought into contact with a high
temperature thermal reservoir. The entropy change of the universe is
Answer : Option D
Explaination / Solution:
No Explaination.
Q9. Consider the following statement about the linear dependence of the real valued functions y1 =
1, y2 = x and y3 = x2, over the field of real numbers.
I. y1, y2 and y3 are linearly independent on -1 ≤ x ≤ 0
II. y1, y2 and y3 are linearly dependent on 0 ≤ x ≤ 1
III. y1, y2 and y3 are linearly independent on 0 ≤ x ≤ 1
IV. y1, y2 and y3 are linearly dependent on -1 ≤ x ≤ 0
Which one among the following is correct?
Answer : Option B
Explaination / Solution:
Q10. Match the approaches given below to perform stated kinematics / dynamics analysis of machine
Analysis Approach
P. Continuous relative rotation 1. D’ Alembert’s principle
Q. Velocity and acceleration 2. Grubler’s criterion
R. Mobility 3. Grashoff’s law
S. Dynamic-static analysis 4. kennedy’s theorem
Answer : Option B
Explaination / Solution:
No Explaination.
