Mechanical Engineering Gate Yearwise
Mechanical Engineering Gate 2017 Set-2 Questions with Answer
Ques 53 GATE 2017 SET-2
A cantilever beam of length L and flexural modulus EI is subjected to a point load P at the free end. The elastic strain energy stored in the beam due to bending (neglecting transverse shear) is
Ques 54 GATE 2017 SET-2
A steel bar is held by two fixed supports as shown in the figure and is subjected to an increase of temperature ΔT = 100°C. If the coefficient of thermal expansion and Young's modulus of elasticity of steel are 11x10-6/°C and 200 GPa, respectively, the magnitude of thermal stress (in MPa) induced in the bar is ________.
Ques 55 GATE 2017 SET-2
In a slider-crank mechanism, the lengths of the crank and the connecting rod are 100 mm and 160 mm, respectively. The crank is rotating with an angular velocity of 10 radian/s counter-clockwise. The magnitude of linear velocity (in m/s) of the piston at the instant corresponding to the configuration shown in the figure is ________.
Ques 56 GATE 2017 SET-2
Block 2 slides outward on link 1 at a uniform velocity of 6 m/s as shown in the figure. Link 1 is rotating at a constant angular velocity of 20 radian/s counterclockwise. The magnitude of the total acceleration (in m/s2) of point P of the block with respect to fixed point O is ________.
Ques 57 GATE 2017 SET-2
Three masses are connected to a rotating shaft supported on bearings A and B as shown in the figure. The system is in a space where the gravitational effect is absent. Neglect the mass of shaft and rods connecting the masses. For m1=10 kg, m2=5 kg and m3=2.5 kg and for a shaft angular speed of 1000 radian/s, the magnitude of the bearing reaction (in N) at location B is ________.
Ques 58 GATE 2017 SET-2
A mass m of a perfect gas at pressure p1 and volume V1 undergoes an isothermal process. The final pressure is p2 and volume is V2. The work done on the system is considered positive. If R is the gas constant and T is the temperature, then the work done in the process is
Ques 59 GATE 2017 SET-2
If a mass of moist air contained in a closed metallic vessel is heated, then its
Ques 60 GATE 2017 SET-2
In the Rankine cycle for a steam power plant the turbine entry and exit enthalpies are 2803 kJ/kg and 1800 kJ/kg, respectively. The enthalpies of water at pump entry and exit are 121 kJ/kg and 124 kJ/kg, respectively. The specific steam consumption (in kg/kW.h) of the cycle is ________.
Ques 61 GATE 2017 SET-2
A calorically perfect gas (specific heat at constant pressure 1000 J/kg.K) enters and leaves a gas turbine with the same velocity. The temperatures of the gas at turbine entry and exit are 1100 K and 400 K, respectively. The power produced is 4.6 MW and heat escapes at the rate of 300 kJ/s through the turbine casing. The mass flow rate of the gas (in kg/s) through the turbine is
Ques 62 GATE 2017 SET-2
One kg of an ideal gas (gas constant R = 287 J/kg.K) undergoes an irreversible process from state-1 (1 bar, 300 K) to state-2 (2 bar, 300 K). The change in specific entropy (s2 - s1) of the gas (in J/kg.K) in the process is ________.
Ques 63 GATE 2017 SET-2
The volume and temperature of air (assumed to be an ideal gas) in a closed vessel is 2.87 m3 and 300 K, respectively. The gauge pressure indicated by a manometer fitted to the wall of the vessel is 0.5 bar. If the gas constant of air is R = 287 J/kg.K and the atmospheric pressure is 1 bar, the mass of air (in kg) in the vessel is
Ques 64 GATE 2017 SET-2
A mass m is attached to two identical springs having spring constant k as shown in the figure. The natural frequency ω of this single degree of freedom system is
Ques 65 GATE 2017 SET-2
The radius of gyration of a compound pendulum about the point of suspension is 100 mm. The distance between the point of suspension and the centre of mass is 250 mm. Considering the acceleration due to gravity as 9.81 m/s2, the natural frequency (in radian/s) of the compound pendulum is ________.
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