Mechanical Engineering Gate 2014 Set-2 Questions with Answer

Ques 53 GATE 2014 SET-2

The flexural rigidity (EI) of a cantilever beam is assumed to be constant over the length of the beam shown in figure. If a load P and bending moment PL/2 are applied at the free end of the beam then the value of the slope at the free end is

Ques 54 GATE 2014 SET-2

A cantilever beam of length L, with uniform cross-section and flexural rigidity EI, is loaded uniformly by a vertical load w per unit length. The maximum vertical deflection of the beam is given by

Ques 55 GATE 2014 SET-2

Consider the two states of stress as shown in configurations I and II in the figure below. From the standpoint of distortion energy (von-Mises) criterion, which one of the following statements is true?

Ques 56 GATE 2014 SET-2

A 4-bar mechanism with all revolute pairs has link lengths lf = 20 mm, lin = 40 mm, lco = 50 mm and lout = 60 mm. The suffixes 'f', 'in', 'co' and 'out' denote the fixed link, the input link, the coupler and output link respectively. Which one of the following statements is true about the input and output links?

Ques 57 GATE 2014 SET-2

A spur pinion of pitch diameter 50 mm rotates at 200 rad/s and transmits 3 kW power. The pressure angle of the tooth of the pinion is 20°. Assuming that only one pair of the teeth is in contact, the total force (in newton) exerted by a tooth of the pinion on the tooth on a mating gear is _______

Ques 58 GATE 2014 SET-2

The thermal efficiency of an air-standard Brayton cycle in terms of pressure ratio r_p and γ (= c_p/c_v) is given by

Ques 59 GATE 2014 SET-2

A pure substance at 8 MPa and 400°C is having a specific internal energy of 2864 kJ/kg and a specific volume of 0.03432 m³/kg. Its specific enthalpy (in kJ/kg) is _______

Ques 60 GATE 2014 SET-2

A spherical balloon with a diameter of 10 m is used for advertisements. The balloon is filled with helium (R_He = 2.08 kJ/kg·K) at ambient conditions of 15°C and 100 kPa. Assuming no disturbances due to wind, the maximum allowable weight (in newton) of balloon material and rope required to avoid the fall of the balloon (R_air = 0.289 kJ/kg·K) is _______

Ques 61 GATE 2014 SET-2

In an ideal Brayton cycle, atmospheric air (γ = 1.4, c_p = 1.005 kJ/kg·K) at 1 bar and 300 K is compressed to 8 bar. The maximum temperature in the cycle is limited to 1280 K. If the heat is supplied at the rate of 80 MW, the mass flow rate (in kg/s) of air required in the cycle is _______

Ques 62 GATE 2014 SET-2

Steam at a velocity of 10 m/s enters the impulse turbine stage with symmetrical blading having blade angle 30°. The enthalpy drop in the stage is 100 kJ. The nozzle angle is 20°. The maximum blade efficiency (in percent) is _______

Ques 63 GATE 2014 SET-2

The following four unconventional machining processes are available in a shop floor. The most appropriate one to drill a hole of square cross section of 6 mm × 6 mm and 25 mm deep is

Ques 64 GATE 2014 SET-2

In vibration isolation, which one of the following statements is NOT correct regarding Transmissibility (T)?

Ques 65 GATE 2014 SET-2

What is the natural frequency of the spring mass system shown below? The contact between the block and the inclined plane is frictionless. The mass of the block is denoted by m and the spring constants are denoted by k₁ and k₂.