ME GATE 2009 - Online Test
Q1. A block weighing 981 N is resting on a horizontal surface. The coefficient of friction between the
block and the horizontal surface is μ = 0.2. A vertical cable attached to the block provides partial
support as shown. A man can pull horizontally with a force of 100N. What will be the tension, T (in
N) in the cable if the man is just able to move the block to the right?
Answer : Option C
Explaination / Solution:
No Explaination.
Q2. Water at 25oC is flowing through a 1.0 km long G.I pipe of 200mm diameter at the rate of 0.07 m3/s.
If value of Darcy friction factor for this pipe is 0.02 and density of water is 1000 kg/m3 , the
pumping power (in kW) required to maintain the flow is
Answer : Option B
Explaination / Solution:
No Explaination.
Q3. If the principal stresses in a plane stress problem, are σ1 = 100MPa, σ2 = 40MPa the magnitude
of the maximum shear stress (in MPa) will be
Answer : Option C
Explaination / Solution:
No Explaination.
Q4. Consider steady-state heat conduction across the thickness in a plane composite wall (as shown in
the figure) exposed to convection conditions on both sides.
Assuming negligible contact resistance between the wall surfaces, the interface temperature, T
(in oC), of the two walls will be
Answer : Option C
Explaination / Solution:
No Explaination.
Q5. A simple quick return mechanism is shown in the figure. The forward to return ratio of the quick
return mechanism is 2:1. If the radius of the crank O1P is 125mm, then the distance ‘d’(in mm)
between the crank centre to lever pivot centre point should be
Answer : Option D
Explaination / Solution:
No Explaination.
Q6. The velocity profile of a fully developed laminar flow in a straight circular pipe, as shown in the
figure, is given by the expression u (r) = 
where dp/dx is a constant. The average
velocity of fluid in the pipe is
where dp/dx is a constant. The average
velocity of fluid in the pipe is
Answer : Option A
Explaination / Solution:
No Explaination.
Q7. The rotor shaft of a large electric motor supported between short bearings at both the end shows a
deflection of 1.8mm in the middle of the rotor. Assuming the rotor to be perfectly balanced and
supported at knife edges at both the ends, the likely critical speed (in rpm) of the shaft is
Answer : Option B
Explaination / Solution:
No Explaination.
Q8. Match the items in Column I and Column II.
Column I Column II
P. Metallic Chills 1. Support for the core
Q. Metallic Chaplets 2. Reservoir of the molten metal
R. Riser 3. Control cooling of critical sections
S. Exothermic Padding 4. Progressive solidification
Answer : Option D
Explaination / Solution:
No Explaination.
Q9. A solid circular shaft of diameter d is subjected to a combined bending moment M and torque, T.
The material property to be used for designing the shaft using the relation 
Answer : Option C
Explaination / Solution:
No Explaination.
Q10. The inlet and the outlet conditions of steam for an adiabatic steam turbine are as indicated in the
notations are as usually followed
If mass flow rate of steam through the turbine is 20kg/s, the power output of the turbine (in MW ) is
Answer : Option A
Explaination / Solution:
No Explaination.
