GATE ME year:2020 PYQs & Answers — Page 7

Questions 61–70 of 130. Imported answers require independent review unless marked reviewed.

Topic practice 130 questionsPage 7 of 13

A balanced rigid disc mounted on a rigid rotor has four identical point masses, each of 10 grams, attached to four points on the 100 mm radius circle shown in the figure.

Diagram for Mechanical Engineering question 21

The rotor is driven by a motor at uniform angular speed of 10 rad/s. If one of the masses gets detached then the magnitude of the resultant unbalance force on the rotor is __________ N (round off to 2 decimal places).

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A machine member is subjected to fluctuating stress

. The endurance limit of the material is 350 MPa. If the factor of safety used in the design is 3.5 then the maximum allowable value of

is __________ MPa (round off to 2 decimal places).

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A sheet metal with a stock hardness of 250 HRC has to be sheared using a punch and a die having a clearance of 1 mm between them. If the stock hardness of the sheet metal increases to 400 HRC, the clearance between the punch and the die should be __________ mm.

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A bolt head has to be made at the end of a rod of diameter

mm by localized forging (upsetting) operation. The length of the unsupported portion of the rod is 40 mm. To avoid buckling of the rod, a closed forging operation has to be performed with a maximum die diameter of ________mm.

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A company is hiring to fill for managerial vacancies. The candidates are five men and three women. If every candidate is equally likely to be chosen then the probability that at least one woman will be selected is __________(round off to 2 decimal places).

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Consider the following network of activities, with each activity named A–L, illustrated in the nodes of the network. The number of hours required for each activity is shown alongside the nodes. The slack on the activity L, is ________hours.

Diagram for Mechanical Engineering question 23

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The compressor of a gas turbine plant, operating on an ideal intercooled Brayton cycle, accomplishes an overall compression ratio of 6 in a two-stage compression process. Intercooling is used to cool the air coming out from the first stage to the inlet temperature of the first stage, before its entry to the second stage. Air enters the compressor at 300 K and 100 kPa. If the properties of gas are constant, the intercooling pressure for minimum compressor work is ____________ kPa (round off to 2 decimal places).

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In a furnace, the inner and outer sides of the brick wall (

W/m.K) are maintained at 1100°C and 700°C, respectively as shown in figure. The brick wall is covered by an insulating material of thermal conductivity

. The thickness of the insulation is 1/4th of the thickness of the brick wall. The outer surface of the insulation is at 200°C. The heat flux through the composite walls is 2500 W/m

. The value of

is ______ W/m.K (round off to one decimal place).

Diagram for Mechanical Engineering question 24

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In a concentric tube counter-flow heat exchanger, hot oil enters at 102°C and leaves at 65°C. Cold water enters at 25°C and leaves at 42°C. The log mean temperature difference (LMTD) is __________ °C (round off to one decimal place).

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If a reversed Carnot cycle operates between the temperature limits of 27°C and −3°C, then the ratio of the COP of a refrigerator to that of a heat pump (COP of refrigerator / COP of heat pump) based on the cycle is __________ (round off to 2 decimal places).

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GATE ME year:2020 PYQs

Question 21

Question 21

Question 22

Question 22

Question 23

Question 23

Question 24

Question 24

Question 25

Question 25