ME GATE 2014 - Online Test

Q1. An annular disc has a mass m, inner radius R and outer radius 2R. The disc rolls on a flat surface without slipping. If the velocity of the centre of mass is v, the kinetic energy of the disc is
Answer : Option C
Explaination / Solution:
No Explaination.


Q2. A siphon is used to drain water from a large tank as shown in the figure below. Assume that the level of water is maintained constant. Ignore frictional effect due to viscosity and losses at entry and exit. At the exit of the siphon, the velocity of water is
 
Answer : Option B
Explaination / Solution:

Applying Bernoulli’s equation between the points ‘P’ and ‘R’. 

Since the level of liquid in tank remains the same, Vp = 0


Q3. Which pair of following statements is correct for orthogonal cutting using a single-point cutting tool? 
P. Reduction in friction angle increases cutting force Reduction in friction angle decreases cutting force 
R. Reduction in friction angle increases chip thickness 
S. Reduction in friction angle decreases chip thickness 
Answer : Option D
Explaination / Solution:
No Explaination.


Q4. A force P is applied at a distance x from the end of the beam as shown in the figure. What would be the value of x so that the displacement at ‘A’ is equal to zero? 

Answer : Option C
Explaination / Solution:
No Explaination.


Q5. A solid sphere of radius r1 = 20 mm is placed concentrically inside a hollow sphere of radius r2 = 30 mm as shown in the figure.

The view factor F21 for radiation heat transfer is 
Answer : Option B
Explaination / Solution:



Q6. Consider a rotating disk cam and a translating roller follower with zero offset. Which one of the following pitch curves, parameterized by t, lying in the interval 0 to 2π, is associated with the maximum translation of the follower during one full rotation of the cam rotating about the center at (x, y) = (0, 0) ?
Answer : Option C
Explaination / Solution:

From all the four options the maximum amplitudes is in point ‘C’ as t = 0. 

Option ‘C’ has maximum net amplitude.  

Q7. Consider a rotating disk cam and a translating roller follower with zero offset. Which one of the following pitch curves, parameterized by t, lying in the interval 0 to 2π, is associated with the maximum translation of the follower during one full rotation of the cam rotating about the center at (x, y) = (0, 0) ?
Answer : Option C
Explaination / Solution:

From all the four options the maximum amplitudes is in point ‘C’ as t = 0. 

Option ‘C’ has maximum net amplitude.  

Q8. A manufacturer can produce 12000 bearings per day. The manufacturer received an order of 8000 bearings per day from a customer. The cost of holding a bearing in stock is Rs.0.20 per month. Setup cost per production run is Rs.500. Assuming 300 working days in a year, the frequency of production run should be
Answer : Option C
Explaination / Solution:
No Explaination.


Q9. “India is a country of rich heritage and cultural diversity.” Which one of the following facts best supports the claim made in the above sentence?
Answer : Option C
Explaination / Solution:

Diversity is shown in terms of difference language

Q10. The value of one U.S. dollar is 65 Indian Rupees today, compared to 60 last year. The Indian Rupee has ____________.
Answer : Option B
Explaination / Solution:
No Explaination.