Mechanical Engineering
GATE ME topic:mechanical-engineering PYQs
Build your understanding with focused practice from past exam papers.
Questions 1001–1010 of 1040. Imported answers require independent review unless marked reviewed.
Question 46
Open questionME-1MCQ2 marksNeeds review
A thin uniform rigid bar of length
and mass
is hinged at point O, located at a distance of
from one of its ends. The bar is further supported using springs, each of stiffness
, located at the two ends. A particle of mass
is fixed at one end of the bar, as shown in the figure. For small rotations of the bar about O, the natural frequency of the system is 
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Open questionME-2MCQ2 marksNeeds review
In a counter-flow heat exchanger, water is heated at the rate of 1.5 kg/s from 40 °C to 80 °C by an oil entering at 120 °C and leaving at 60 °C. The specific heats of water and oil are 4.2 kJ/kg·K and 2 kJ/kg·K, respectively. The overall heat transfer coefficient is 400 W/m
·K. The required heat transfer surface area (in m
) isYour answerChoose one option.
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Open questionME-1NAT2 marksNeeds review
For an inline slider-crank mechanism, the lengths of the crank and connecting rod are 3 m and 4 m, respectively. At the instant when the connecting rod is perpendicular to the crank, if the velocity of the slider is 1 m/s, the magnitude of angular velocity (upto 3 decimal points accuracy) of the crank is ________ radian/s.
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Open questionME-2MCQ2 marksNeeds review
A metal ball of diameter 60 mm is initially at 220 °C. The ball is suddenly cooled by an air jet of 20 °C. The heat transfer coefficient is 200 W/m
·K. The specific heat, thermal conductivity and density of the metal ball are 400 J/kg·K, 400 W/m·K and 900 kg/m
, respectively. The ball temperature (in °C) after 90 seconds will be approximatelyYour answerChoose one option.
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Open questionME-1NAT2 marksNeeds review
A 10 mm deep cylindrical cup with diameter of 15 mm is drawn from a circular blank. Neglecting the variation in the sheet thickness, the diameter (upto 2 decimal points accuracy) of the blank is ________ mm.
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Open questionME-2MCQ2 marksNeeds review
A product made in two factories, P and Q, is transported to two destinations, R and S. The per unit costs of transportation (in Rupees) from factories to destinations are as per the following matrix:
Factory | R | S |
|---|---|---|
P | 10 | 7 |
Q | 3 | 4 |
Factory P produces 7 units and factory Q produces 9 units of the product. Each destination requires 8 units. If the north-west corner method provides the total transportation cost as
(in Rupees) and the optimized (the minimum) total transportation cost is
(in Rupees), then
, in Rupees, isYour answerChoose one option.
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Open questionME-1MCQ2 marksNeeds review
Circular arc on a part profile is being machined on a vertical CNC milling machine. CNC part program using metric units with absolute dimensions is listed below:
N60 G01 X 30 Y 55 Z -5 F50
N70 G02 X 50 Y 35 R 20
N80 G01 Z 5
The coordinates of the centre of the circular arc are:
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Open questionME-2NAT2 marksNeeds review
A project starts with activity A and ends with activity F. The precedence relation and durations of the activities are as per the following table:
Activity | Immediate predecessor | Duration (days) |
|---|---|---|
A | – | 4 |
B | A | 3 |
C | A | 7 |
D | B | 14 |
E | C | 4 |
F | D, E | 9 |
The minimum project completion time (in days) is ____________
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Open questionME-1MCQ2 marksNeeds review
Assume that the surface roughness profile is triangular as shown schematically in the figure. If the peak to valley height is 20 μm, the central line average surface roughness
(in μm) is 
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Open questionME-2MCQ2 marksNeeds review
A rod of length 20 mm is stretched to make a rod of length 40 mm. Subsequently, it is compressed to make a rod of final length 10 mm. Consider the longitudinal tensile strain as positive and compressive strain as negative. The total true longitudinal strain in the rod is
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