ME GATE 2007 - Online Test
Q1. A thin spherical pressure vessel of 200 mm diameter and 1 mm thickness is
subjected to an internal pressure varying form 4 to 8 MPa. Assume that the
yield, ultimate and endurance strength of material are 600, 800 and 400 MPa
respectively. The factor of safety as per Goodman’s relation is
Answer : Option B
Explaination / Solution:
No Explaination.
Q2. A block of mass
M is released from point P on a rough inclined plane with
inclination angle θ, shown in the figure below. The co-efficient of friction is μ.
If μ < tanθ, then the time taken by the block to reach another point Q on the
inclined plane, where PQ = s, is
Answer : Option A
Explaination / Solution:
No Explaination.
Q3. A natural feed journal bearing of diameter 50 mm and length 50 mm operating at
20 revolution/ second carries a load of 2 kN. The lubricant used has a viscosity of
20 mPas. The radial clearance is 50 μm . The Sommerfeld number for the bearing is
Answer : Option B
Explaination / Solution:
No Explaination.
Q4. A 200 × 100 × 50 mm steel block is subjected to a hydrostatic pressure of 15
MPa.
The Young’s modulus and Poisson’s ratio of the material are 200 GPa and 0.3
respectively. The change in the volume of the block in mm2 is
Answer : Option B
Explaination / Solution:
No Explaination.
Q5. A bolted joint is shown below. The maximum shear stress, in MPa in the bolts
at A and B , respectively are
Answer : Option A
Explaination / Solution:
No Explaination.
Q6. A block-brake shown below has a face width of 300 mm and a mean co-efficient
of friction of 0.25. For an activating force of 400 N, the braking torque in Nm is
Answer : Option C
Explaination / Solution:
No Explaination.
Q7. The minimum value of function y = x2 in the interval [1, 5] is
Answer : Option B
Explaination / Solution:
No Explaination.
Q8. If a square matrix A is real and symmetric, then the eigen values
Answer : Option A
Explaination / Solution:
No Explaination.
Q9. If 
are functions with continuous second derivatives, then 
can be expressed as an analytic function of x + iψ (i = √-1), when
are functions with continuous second derivatives, then can be expressed as an analytic function of x + iψ (i = √-1), when
Answer : Option B
Explaination / Solution:
No Explaination.
Q10. The partial differential equation 
has
has
Answer : Option A
Explaination / Solution:
No Explaination.
