ME GATE 2009 - Online Test
Q1. A solid shaft of diameter, d and length L is fixed at both the ends. A torque, T0 is applied at a
distance, L/4 from the left end as shown in the figure given below.
The maximum shear stress in the shaft is
Answer : Option B
Explaination / Solution:
No Explaination.
Q2. The inlet and the outlet conditions of steam for an adiabatic steam turbine are as indicated in the notations are as usually followed
Assume the above turbine to be part of a simple Rankine cycle. The density of water at the inlet to
the pump is 1000kg/m3. Ignoring kinetic and potential energy effects, the specific work (in kJ/kg)
supplied to the pump is
Answer : Option C
Explaination / Solution:
No Explaination.
Q3. An epicyclic gear train is shown schematically in the adjacent figure. The sun gear 2 on the input
shaft is a 20 teeth external gear. The planet gear 3 is a 40 teeth external gear. The ring gear 5 is a
100 teeth internal gear. The ring gear 5 is fixed and the gear 2 is rotating at 60 rpm ccw (ccw =
counter-clockwise and cw = clockwise). The arm 4 attached to the output shaft will rotate at
Answer : Option A
Explaination / Solution:
No Explaination.
Q4. Radiative heat transfer is intended between the inner surfaces of two very large isothermal parallel metal plates. While the upper plate (designated as plate 1) is a black surface and the warmer one being maintained at 727oC, the lower plate ( plate 2) is a diffuse and gray surface with an emissivity of 0.7 and is kept at 227oC. Assume that the surfaces are sufficiently large to form a two-surface enclosure and steady state conditions to exist. Stefan Boltzmann constant is given as 5.67 × 10-8 W/m2K4
The irradiation (in kW/m2) for the upper plate (plate 1) is
Answer : Option A
Explaination / Solution:
No Explaination.
Q5. A forged steel link with uniform diameter of 30mm at the centre is subjected to an axial force that
varies from 40kN in compression to 160kN in tension. The tensile (Su), yield (Sy) and corrected
endurance (Se) strengths of the steel material are 600MPa, 420MPa and 240MPa respectively. The
factor of safety against fatigue endurance s per Soderberg’s criterion is
Answer : Option D
Explaination / Solution:
No Explaination.
Q6. Radiative heat transfer is intended between the inner surfaces of two very large isothermal parallel metal plates. While the upper plate (designated as plate 1) is a black surface and the warmer one being maintained at 727oC, the lower plate ( plate 2) is a diffuse and gray surface with an emissivity of 0.7 and is kept at 227oC. Assume that the surfaces are sufficiently large to form a two-surface enclosure and steady state conditions to exist. Stefan Boltzmann constant is given as 5.67 × 10-8 W/m2K4
If plate 1 is also a diffuse and gray surface with an emissivity value of 0.8, the net radiation heat
exchange (in kW/m2) between plate 1 and plate 2 is
Answer : Option D
Explaination / Solution:
No Explaination.
Q7. An automotive engine weighing 240kg is supported on four springs with linear characteristics.
Each of the front two springs have a stiffness of 16MN/m while the stiffness of each rear spring is
32MN/m. The engine speed (in rpm), at which resonance is likely to occur, is
Answer : Option A
Explaination / Solution:
No Explaination.
Q8. A vehicle suspension system consists of a spring and a damper. The stiffness of the spring is
3.6kN/m and the damping constant of the damper is 400Ns/m. If the mass is 50kg, then the
damping factor (d) and damped natural frequency (fn), respectively, are
Answer : Option A
Explaination / Solution:
No Explaination.
Q9. A frame of two arms of equal length L is shown in the below figure. The flexural rigidity of each
arm of the frame is EI. The vertical deflection at the point of application of load P is 
Answer : Option D
Explaination / Solution:
No Explaination.
Q10. Match the approaches given below to perform stated kinematics / dynamics analysis of machine
Analysis Approach
P. Continuous relative rotation 1. D’ Alembert’s principle
Q. Velocity and acceleration 2. Grubler’s criterion
R. Mobility 3. Grashoff’s law
S. Dynamic-static analysis 4. kennedy’s theorem
Answer : Option B
Explaination / Solution:
No Explaination.
