Mechanical Engineering Gate Yearwise
Mechanical Engineering Gate 2017 Set-2 Questions with Answer
Ques 40 GATE 2017 SET-2
It is desired to make a product having T-shaped cross-section from a rectangular aluminium block. Which one of the following processes is expected to provide the highest strength of the product?
Ques 41 GATE 2017 SET-2
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
Ques 42 GATE 2017 SET-2
A strip of 120 mm width and 8 mm thickness is rolled between two 300 mm-diameter rolls to get a strip of 120 mm width and 7.2 mm thickness. The speed of the strip at the exit is 30 m/min. There is no front or back tension. Assuming uniform roll pressure of 200 MPa in the roll bite and 100% mechanical efficiency, the minimum total power (in kW) required to drive the two rolls is ________.
Ques 43 GATE 2017 SET-2
During the turning of a 20 mm-diameter steel bar at a spindle speed of 400 rpm, a tool life of 20 minute is obtained. When the same bar is turned at 200 rpm, the tool life becomes 60 minute. Assume that Taylor's tool life equation is valid. When the bar is turned at 300 rpm, the tool life (in minute) is approximately
Ques 44 GATE 2017 SET-2
In an orthogonal machining with a tool of 9° orthogonal rake angle, the uncut chip thickness is 0.2 mm. The chip thickness fluctuates between 0.25 mm and 0.4 mm. The ratio of the maximum shear angle to the minimum shear angle during machining is ________.
Ques 45 GATE 2017 SET-2
The crystal structure of aluminium is
Ques 46 GATE 2017 SET-2
Given the atomic weight of Fe is 56 and that of C is 12, the weight percentage of carbon in cementite (Fe3C) is ________.
Ques 47 GATE 2017 SET-2
The standard deviation of linear dimensions P and Q are 3 μm and 4 μm, respectively. When assembled, the standard deviation (in μm) of the resulting linear dimension (P+Q) is ________.
Ques 48 GATE 2017 SET-2
A cylindrical pin of 25+0.020+0.010 mm diameter is electroplated. Plating thickness is 2.0±0.005 mm. Neglecting the gauge tolerance, the diameter (in mm, up to 3 decimal points accuracy) of the GO ring gauge to inspect the plated pin is ________.
Ques 49 GATE 2017 SET-2
Maximize Z = 5x1 + 3x2,
subject to
x1 + 2x2 ≤ 10
x1 - x2 ≤ 8
x1, x2 ≥ 0
In the starting Simplex tableau, x1 and x2 are non-basic variables and the value of Z is zero. The value of Z in the next Simplex tableau is ________.
Ques 50 GATE 2017 SET-2
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 P to R = 10, P to S = 7 Factory Q to R = 3, Q to S = 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 X (in Rupees) and the optimized (the minimum) total transportation cost is Y (in Rupees), then (X – Y), in Rupees, is
Ques 51 GATE 2017 SET-2
The state of stress at a point is σx = σy = σz = τxz = τzx = τyz = τzy = 0 and τxy = τyx = 50 MPa. The maximum normal stress (in MPa) at that point is ________.
Ques 52 GATE 2017 SET-2
For a loaded cantilever beam of uniform cross-section, the bending moment (in N.mm) along the length is M(x) = 5x2 + 10x, where x is the distance (in mm) measured from the free end of the beam. The magnitude of shear force (in N) in the cross-section at x=10 mm is ________.
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