Mechanical Engineering Gate 2016 Set-1 Questions with Answer

Ques 53 GATE 2016 SET-1


The figure shows cross-section of a beam subjected to bending. The area moment of inertia (in mm4) of this cross-section about its base is ________.


(1875.6) is the correct answer.

Ques 54 GATE 2016 SET-1


A simply-supported beam of length 3L is subjected to the loading shown in the figure. It is given that P=1 N, L=1 m and Young's modulus E = 200 GPa. The cross-section is a square with dimension 10 mm x 10 mm. The bending stress (in Pa) at the point A located at the top surface of the beam at a distance of 1.5L from the left end is ________. (Indicate compressive stress by a negative sign and tensile stress by a positive sign.)


(0) is the correct answer.

Ques 55 GATE 2016 SET-1


A car is moving on a curved horizontal road of radius 100 m with a speed of 20 m/s. The rotating masses of the engine have an angular speed of 100 rad/s in clockwise direction when viewed from the front of the car. The combined moment of inertia of the rotating masses is 10 kg-m2. The magnitude of the gyroscopic moment (in N-m) is ________.


(200) is the correct answer.

Ques 56 GATE 2016 SET-1


A slider crank mechanism with crank radius 200 mm and connecting rod length 800 mm is shown. The crank is rotating at 600 rpm in the counterclockwise direction. In the configuration shown, the crank makes an angle of 90° with the sliding direction of the slider, and a force of 5 kN is acting on the slider. Neglecting the inertia forces, the turning moment on the crank (in kN-m) is ________.


(1) is the correct answer.

Ques 57 GATE 2016 SET-1


In the gear train shown, gear 3 is carried on arm 5. Gear 3 meshes with gear 2 and gear 4. The number of teeth on gear 2, 3, and 4 are 60, 20, and 100, respectively. If gear 2 is fixed and gear 4 rotates with an angular velocity of 100 rpm in the counterclockwise direction, the angular speed of arm 5 (in rpm) is

A

166.7 counterclockwise

B

166.7 clockwise

C

62.5 counterclockwise

D

62.5 clockwise


(c) is the correct answer.

Ques 58 GATE 2016 SET-1


Which of the following statements are TRUE with respect to heat and work?
(i) They are boundary phenomena
(ii) They are exact differentials
(iii) They are path functions

A

both (i) and (ii)

B

both (i) and (iii)

C

both (ii) and (iii)

D

only (iii)


(b) is the correct answer.

Ques 59 GATE 2016 SET-1


Propane (C3H8) is burned in an oxygen atmosphere with 10% deficit oxygen with respect to the stoichiometric requirement. Assuming no hydrocarbons in the products, the volume percentage of CO in the products is ________.


(14.28) is the correct answer.

Ques 60 GATE 2016 SET-1


The INCORRECT statement about regeneration in vapor power cycle is that

A

it increases the irreversibility by adding the liquid with higher energy content to the steam generator

B

heat is exchanged between the expanding fluid in the turbine and the compressed fluid before heat addition

C

the principle is similar to the principle of Stirling gas cycle

D

it is practically implemented by providing feed water heaters


(a) is the correct answer.

Ques 61 GATE 2016 SET-1


For water at 25°C, dps/dTs = 0.189 kPa/K (ps is the saturation pressure in kPa and Ts is the saturation temperature in K) and the specific volume of dry saturated vapour is 43.38 m3/kg. Assume that the specific volume of liquid is negligible in comparison with that of vapour. Using the Clausius-Clapeyron equation, an estimate of the enthalpy of evaporation of water at 25°C (in kJ/kg) is ________.


(2443) is the correct answer.

Ques 62 GATE 2016 SET-1


An ideal gas undergoes a reversible process in which the pressure varies linearly with volume. The conditions at the start (subscript 1) and at the end (subscript 2) of the process with usual notation are: p1 = 100 kPa, V1 = 0.2 m3 and p2 = 200 kPa, V2 = 0.1 m3, and the gas constant, R = 0.275 kJ/kg-K. The magnitude of the work required for the process (in kJ) is ________.


(15) is the correct answer.

Ques 63 GATE 2016 SET-1


In a steam power plant operating on an ideal Rankine cycle, superheated steam enters the turbine at 3 MPa and 350°C. The condenser pressure is 75 kPa. The thermal efficiency of the cycle is ________ percent. Given data: For saturated liquid, at P=75 kPa, hf = 384.39 kJ/kg, vf = 0.001037 m3/kg, sf = 1.213 kJ/kg-K. At 75 kPa, hfg = 2278.6 kJ/kg, sfg = 6.2434 kJ/kg-K. At P=3 MPa and T=350°C (superheated steam), h=3115.3 kJ/kg, s=6.7428 kJ/kg-K.


(26) is the correct answer.

Ques 64 GATE 2016 SET-1


A single degree of freedom spring mass system with viscous damping has a spring constant of 10 kN/m. The system is excited by a sinusoidal force of amplitude 100 N. If the damping factor (ratio) is 0.25, the amplitude of steady state oscillation at resonance is ________ mm.


(20) is the correct answer.

Ques 65 GATE 2016 SET-1


A solid disc with radius a is connected to a spring at a point d above the center of the disc. The other end of the spring is fixed to the vertical wall. The disc is free to roll without slipping on the ground. The mass of the disc is M and the spring constant is K. The polar moment of inertia for the disc about its centre is J = Ma2/2.

The natural frequency of this system in rad/s is given by

A

√(2K(a+d)2 / (3Ma2))

B

√(2K / (3M))

C

2K(a+d)2 / (Ma2)

D

K(a+d)2 / (Ma2)


(a) is the correct answer.

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