Mechanical Engineering
GATE ME discipline:mechanical-and-production-engineering PYQs
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Questions 901–910 of 1040. Imported answers require independent review unless marked reviewed.
Question 51
Open questionMENAT2 marksNeeds review
The minimum value of 3x + 5y such that:
3x + 5y ≤ 15
4x + 9y ≤ 8
13x + 2y ≤ 2
x ≥ 0, y ≥ 0
is ______.
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Open questionMENAT2 marksNeeds review
The arc lengths of a directed graph of a project are shown in the figure. The shortest path length from node 1 to node 6 is ______.
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Processing times (including setup times) and due dates for six jobs waiting to be processed at a work centre are given in the table. The average tardiness (in days) using shortest processing time rule is ________ (correct to two decimal places).
Job | Processing time (days) | Due date (days) |
|---|---|---|
A | 3 | 8 |
B | 7 | 16 |
C | 4 | 4 |
D | 9 | 18 |
E | 5 | 17 |
F | 13 | 19 |
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 52
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A circular hole of 25 mm diameter and depth of 20 mm is machined by EDM process. The material remove rate (in mm³/min) is expressed as
where I = 300 A and the melting point of the material, T = 1600°C. The time (in minutes) for machining this hole is ______ (correct to two decimal places)
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 53
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The schematic of an external drum rotating clockwise engaging with a short shoe is shown in the figure. The shoe is mounted at point Y on a rigid lever XYZ hinged at point X. A force F = 100 N is applied at the free end of the lever as shown. Given that the coefficient of friction between the shoe and the drum is 0.3, the braking torque (in Nm) applied on the drum is ______ (correct to two decimal places).
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 53
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A welding operation is being performed with voltage = 30 V and current = 100 A. The cross-sectional area of the weld bead is 20 mm². The work-piece and filler are of titanium for which the specific energy of melting is 14 J/mm³. Assuming a thermal efficiency of the welding process 70%, the welding speed (in mm/s) is ______ (correct to two decimal places).
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Block P of mass 2 kg slides down the surface and has a speed 20 m/s at the lowest point, Q, where the local radius of curvature is 2 m as shown in the figure. Assuming g = 10 m/s², the normal force (in N) at Q is ______ (correct to two decimal places).
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Steam in the condenser of a thermal power plant is to be condensed at a temperature of 30°C with cooling water which enters the tubes of the condenser at 14°C and exits at 22°C. The total surface area of the tubes is 50 m², and the overall heat transfer coefficient is 200 W/m² K. The heat transfer (in MW) to the condenser is ______ (correct to two decimal places).
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 55
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An electrochemical machining (ECM) is to be used to cut a through hole into a 12 mm thick aluminum plate. The hole has a rectangular cross-section, 10 mm × 30 mm. The ECM operation will be accomplished in 2 minutes, with efficiency of 90%. Assuming specific removal rate for aluminum as 3.44 × 10⁻² mm³/(A s), the current (in A) required is ______ (correct to two decimal places).
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A vehicle powered by a spark ignition engine follows air standard Otto cycle (γ=1.4). The engine generates 70 kW while consuming 10.3 kg/hr of fuel. The caloric value of fuel is 44,000 kJ/kg. The compression ratio is ______ (correct to two decimal places).
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