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BARC 2021 ME: Full Syllabus Test 3
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Question 1
The area bounded by that parabola 2y=x2 and the line x = y-4 is equal to
Question 2
A long column of uniform cross-section hinged at one end and clamped at another able to sustain a buckling load P. What will be the maximum Euler buckling load when the length of the column is doubled and both ends are hinged.
Question 3
A DC arc welding has its voltage-arc length characteristics given by V= 5+10L , where L=arc length in cm. The power source is approximated as a straight line for which the open circuit voltage is 20 V and the short circuit current is 250 A. The optimum arc length is :
Question 4
Air at 100 kPa, 2 °C occupies a 10 liter piston-cylinder device that is arranged to maintain constant air pressure. This device is now heated until its volume is 20 liters. The work produced by the air is
Question 5
Given a function f( x ,y) = 5x2 – 4xy + 2y2 + 4x – 4y + 10 ,the optimum value of f(x, y) is
Question 6
Which is correct in case of flywheel?
Question 7
The process of reheating the martensitic steel to reduce its brittleness without any significant loss in its hardness is
Question 8
A 300 mm thick slab is being cold rolled using roll of 600 mm diameter. If the coefficient of friction is 0.08, the maximum possible reduction (in mm) is __________
Question 9
Steady one-dimensional heat conduction takes place across the faces 1 and 3 of a composite slab consisting of slabs A and B in perfect contact as shown in the figure, where kA, kB denote the respective thermal conductivities. Using the data as given in the figure, the interface temperature T2 (in oC. is ____
Question 10
For two springs having same stiffness (k) are in series, the equivalent stiffness would be __________.
Question 11
A block whose mass is 650 gm is fastened to a spring of spring constant K equals 65 N/m whose other end is fixed. The block is pulled a distance x = 11 cm from its equilibrium position at x = 0 on a smooth surface, and released from rest at t=0. The maximum speed ‘S ’ of the oscillating
Question 12
A solid disc of mass 2.5 kg is rolling without slipping from the top of an incline whose angle of inclination is 30° with the horizontal. The speed of the center of mass of the disc at the bottom of the incline is __________.
Question 13
For the matrix eigen vector corresponding to eigen value −2 is ___________.
Question 14
During a rolling process, a sheet of thick is rolled down to thickness. If the roll of diameter rotates at , calculate the velocity of strip at the neutral point.
Question 15
GO and NO-GO plug gauges are to be designed for a hole mm. Gauge tolerances can be taken as 10% of the hole tolerance. The sizes of GO and NO-GO gauge will be respectively(On the basis of workshop gauge)______.
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ESE & GATE MEGeneralSep 5ESE & GATE ME