Mechanical Engineering
GATE ME topic:mechanical-engineering PYQs
Build your understanding with focused practice from past exam papers.
Questions 101–110 of 1040. Imported answers require independent review unless marked reviewed.
Question 36
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In the closed interval [0, 3], the minimum value of the function
given below is
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Considering the actual demand and the forecast for a product given in the table below, the mean forecast error and the mean absolute deviation, respectively, are
Period | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
|---|---|---|---|---|---|---|---|---|---|---|
Actual demand | 425 | 415 | 420 | 430 | 427 | 418 | 422 | 416 | 426 | 421 |
Forecast | 427 | 422 | 416 | 422 | 423 | 420 | 419 | 418 | 430 | 415 |
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Match the mold elements in the casting process with the most suitable function.
Mold element | Function |
|---|---|
P. Blind riser | I. Cast with internal cavity |
Q. Chill | II. Molten metal reservoir |
R. Skim bob | III. Nucleating agent |
S. Core | IV. Assisting in faster heat removal from melt |
T. Insulating sleeve | V. Removal of impurities |
U. Inoculant | VI. Increasing the solidification time |
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Wire drawing operation is performed on a perfectly plastic material without any strain hardening. Assuming no friction and no redundant work, the maximum possible percentage reduction in area in a single pass is closest to
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In relation to additive manufacturing, match the following.
Process | Layer creation technique | Material |
|---|---|---|
P. Stereolithography | 1. Injection of powder stream | I. Paper |
Q. Fused deposition modeling | 2. Extrusion of melt polymer | II. Epoxy |
R. Laminated object manufacturing | 3. Liquid layer curing | III. Titanium |
S. Laser-engineered net shape | 4. Sheet material deposition | IV. Acrylonitrile butadiene styrene (ABS) |
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A plate of 30 mm thickness is fed through a rolling mill with two powered rolls. Each roll has a diameter of 500 mm. The plate thickness is to be reduced to 27 mm in a single pass. Assume no change in width. The process feasibility and the maximum draft (in mm) can be represented, respectively, as
Use the coefficient of friction as 0.12
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The system shown in the figure below consists of a cantilever beam (with flexural rigidity
and negligible mass), a spring (with spring constant
and negligible mass) and a block of mass
. Assuming a lumped parameter model for the system, the fundamental natural frequency (
) of the system is 
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The endurance limit of a specific grade of steel is same as its yield strength. The ultimate strength of this grade of steel is twice of its yield strength. A component made of this steel is loaded in tension and unloaded periodically. It is required that the component does NOT fail for at least
loading cycles, as per the Soderberg law. Considering a factor of safety of 2, the maximum applied tensile principal stress isYour answerChoose one option.
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For a fully-developed pipe flow, which of the following options is/are correct?
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If
is the unit circle in the complex plane with its center at the origin, then the value of
in the equation given below is __________ (rounded off to 1 decimal place).
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