Mechanical Engineering Gate 2017 Set-1 Questions with Answer

Ques 27 GATE 2017 SET-1

Let S₁ be the plane figure consisting of the points (x, y) given by the inequalities |x-1| ≤ 2 and |y+2| ≤ 3. Let S₂ be the plane figure given by the inequalities x-y ≥ -2, y ≥ 1, and x ≤ 3. Let S be the union of S₁ and S₂. The area of S is

Ques 28 GATE 2017 SET-1

Two very famous sportsmen Mark and Steve happened to be brothers, and played for country K. Mark teased James, an opponent from country E. "There is no way you are good enough to play for your country." James replied, "Maybe not, but at least I am the best player in my own family."

Which one of the following can be inferred from this conversation?

Ques 29 GATE 2017 SET-1

The growth of bacteria (lactobacillus) in milk leads to curd formation. A minimum bacterial population density of 0.8 (in suitable units) is needed to form curd. In the graph below, the population density of lactobacillus in 1 litre of milk is plotted as a function of time, at two different temperatures, 25°C and 37°C.

Ques 30 GATE 2017 SET-1

Saturated steam at 100°C condenses on the outside of a tube. Cold fluid enters the tube at 20°C and exits at 50°C. The value of the Log Mean Temperature Difference (LMTD) is ________ °C.

Ques 31 GATE 2017 SET-1

Heat is generated uniformly in a long solid cylindrical rod (diameter = 10 mm) at the rate of 4×10⁷ W/m³. The thermal conductivity of the rod material is 25 W/m.K. Under steady state conditions, the temperature difference between the centre and the surface of the rod is ________ °C.

Ques 32 GATE 2017 SET-1

Two black surfaces, AB and BC, of lengths 5 m and 6 m, respectively, are oriented as shown. Both surfaces extend infinitely into the third dimension. Given that view factor F₁₂ = 0.5, T₁ = 800K, T₂ = 600K, T_surrounding = 300K and Stefan Boltzmann constant, σ = 5.67 × 10⁻⁸ W/(m²K⁴), the heat transfer rate from Surface 2 to the surrounding environment is ________ kW.

Ques 33 GATE 2017 SET-1

Cylindrical pins of diameter 15^±0.020 mm are being produced on a machine. Statistical quality control tests show a mean of 14.995 mm and standard deviation of 0.004 mm. The process capability index Cp is

Ques 34 GATE 2017 SET-1

Following data refers to the jobs (P, Q, R, S) which have arrived at a machine for scheduling. The shortest possible average flow time is ________ days.

Ques 35 GATE 2017 SET-1

A motor driving a solid circular steel shaft transmits 40 kW of power at 500 rpm. If the diameter of the shaft is 40 mm, the maximum shear stress in the shaft is ________ MPa.

Ques 36 GATE 2017 SET-1

Consider the schematic of a riveted lap joint subjected to tensile load F, as shown below. Let d be the diameter of the rivets, and S_f the maximum permissible tensile stress in the plates. What should be the minimum value for the thickness of the plates to guard against tensile failure of the plates? Assume the plates to be identical.

Ques 37 GATE 2017 SET-1

A machine element has an ultimate strength (σ_u) of 600 N/mm², and endurance limit (σ_en) of 250 N/mm². The fatigue curve for the element on a log-log plot is shown below. If the element is to be designed for a finite life of 10000 cycles, the maximum amplitude of a completely reversed operating stress is ________ N/mm².

Ques 38 GATE 2017 SET-1

In a metal forming operation when the material has just started yielding, the principal stresses are σ₁ = +180 MPa, σ₂ = -100 MPa, σ₃ = 0. Following von Mises' criterion, the yield stress is ________ MPa.

Ques 39 GATE 2017 SET-1

Match the processes with their characteristics.