Mechanical Engineering Gate 2016 Set-2 Questions with Answer

Ques 53 GATE 2016 SET-2

A circular metallic rod of length 250 mm is placed between two rigid immovable walls as shown in the figure. The rod is in perfect contact with the wall on the left side and there is a gap of 0.2 mm between the rod and the wall on the right side. If the temperature of the rod is increased by 200°C, the axial stress developed in the rod is ________ MPa. Young's modulus of the material of the rod is 200 GPa and the coefficient of thermal expansion is 10^-5 per °C.

Ques 54 GATE 2016 SET-2

The forces F₁ and F₂ in a brake band and the direction of rotation of the drum are as shown in the figure. The coefficient of friction is 0.25. The angle of wrap is 3π/2 radians. It is given that R = 1 m and F₂ = 1 N. The torque (in N-m) exerted on the drum is ________.

Ques 55 GATE 2016 SET-2

For the brake shown in the figure, which one of the following is TRUE?

Ques 56 GATE 2016 SET-2

The rod AB, of length 1 m, shown in the figure is connected to two sliders at each end through pins. The sliders can slide along QP and QR. If the velocity V_A of the slider at A is 2 m/s, the velocity of the midpoint of the rod at this instant is ________ m/s.

Ques 57 GATE 2016 SET-2

The internal energy of an ideal gas is a function of

Ques 58 GATE 2016 SET-2

The heat removal rate from a refrigerated space and the power input to the compressor are 7.2 kW and 1.8 kW, respectively. The coefficient of performance (COP) of the refrigerator is ________.

Ques 59 GATE 2016 SET-2

Consider a simple gas turbine (Brayton) cycle and a gas turbine cycle with perfect regeneration. In both the cycles, the pressure ratio is 6 and the ratio of the specific heats of the working medium is 1.4. The ratio of minimum to maximum temperatures is 0.3 (with temperatures expressed in K) in the regenerative cycle. The ratio of the thermal efficiency of the simple cycle to that of the regenerative cycle is ________.

Ques 60 GATE 2016 SET-2

A piston-cylinder device initially contains 0.4 m³ of air (to be treated as an ideal gas) at 100 kPa and 80°C. The air is now isothermally compressed to 0.1 m³. The work done during this process is ________ kJ. (Take the sign convention such that work done on the system is negative)

Ques 61 GATE 2016 SET-2

A reversible cycle receives 40 kJ of heat from one heat source at a temperature of 127°C and 37 kJ from another heat source at 97°C. The heat rejected (in kJ) to the heat sink at 47°C is ________.

Ques 62 GATE 2016 SET-2

A refrigerator uses R-134a as its refrigerant and operates on an ideal vapour-compression refrigeration cycle between 0.14 MPa and 0.8 MPa. If the mass flow rate of the refrigerant is 0.05 kg/s, the rate of heat rejection to the environment is ________ kW. Given data: At P=0.14 MPa, h=236.04 kJ/kg, s=0.9322 kJ/kg-K (saturated vapour). At P=0.8 MPa, h=272.05 kJ/kg, s=0.9322 kJ/kg-K (superheated vapour). At P=0.8 MPa, h=93.42 kJ/kg (saturated liquid).

Ques 63 GATE 2016 SET-2

The partial pressure of water vapour in a moist air sample of relative humidity 70% is 1.6 kPa, the total pressure being 101.325 kPa. Moist air may be treated as an ideal gas mixture of water vapour and dry air. The relation between saturation temperature (T_s in K) and saturation pressure (p_s in kPa) for water is given by ln(p_s/p_o) = 14.317 - 5304/T_s, where p_o = 101.325 kPa. The dry bulb temperature of the moist air sample (in °C) is ________.

Ques 64 GATE 2016 SET-2

A single degree of freedom mass-spring-viscous damper system with mass m, spring constant k and viscous damping coefficient q is critically damped. The correct relation among m, k, and q is

Ques 65 GATE 2016 SET-2

The system shown in the figure consists of block A of mass 5 kg connected to a spring through a massless rope passing over pulley B of radius r and mass 20 kg. The spring constant k is 1500 N/m. If there is no slipping of the rope over the pulley, the natural frequency of the system is ________ rad/s.