Home / GATE 2017-2018 / GATE Mechanical :: Practice Test Paper 2

GATE 2017-2018 :: GATE Mechanical

  1. The partial differential equation  is a
  2. A.
    linear equation of order 2
    B.
    non-linear equation of order 1
    C.
    linear equation of order 1
    D.
    non-linear equation of order 2

  3. The eigenvalues of a symmetric matrix are all
  4. A.
    complex with non-zero positive imaginary part.
    B.
    complex with non-zero negative imaginary part.
    C.
    real.
    D.
    pure imaginary.

  5. Match the CORRECT pairs.

  6. A.
    P-2, Q-1, R-3
    B.
    P-3, Q-2, R-1
    C.
    P-1, Q-2, R-3
    D.
    P-3, Q-1, R-2

  7. A rod of length L having uniform cross-sectional area A is subjected to a tensile force P as shown in the figure below. If the Young's modulus of the material varies linearly from E1 to E2 along the length of the rod, the normal stress developed at the section-SS is

  8. A.
    P/A
    B.
    P(E1 - E2)/A(E1 + E2)
    C.
    PE2/AE1
    D.
    PE1/AE2

  9. Two threaded bolts A and B of same material and length are subjected to identical tensile load. If the elastic strain energy stored in bolt A is 4 times that of bolt B and the mean diameter of bolt A is 12 mm, the mean diameter of bolt B in mm is
  10. A.
    16
    B.
    24
    C.
    36
    D.
    48

  11. A link OB is rotating with a constant angular velocity of 2 rad/s in counter clockwise direction and a block is sliding radially outward on it with an uniform velocity of 0.75 m/s with respect to the rod, as shown in the figure below. If OA = 1 m, the magnitude of the absolute acceleration of the block at location A in m/s2 is

  12. A.
    3
    B.
    4
    C.
    5
    D.
    6

  13. For steady, fully developed flow inside a straight pipe of diameter D, neglecting gravity effects, the pressure drop ∆p over a length L and the wall shear stress tw are related by
  14. A.
    tw = ∆pD/4L
    B.
    tw = ∆pD2/4L2
    C.
    tw = ∆pD/2L
    D.
    tw = 4∆pL/D

  15. The pressure, dry bulb temperature and relative humidity of air in a room are 1 bar, 30°C and 70%, respectively. If the saturated steam pressure at 30°C is 4.25 kPa, the specific humidity of the room air in kg water vapour/kg dry air is
  16. A.
    0.0083
    B.
    0.0101
    C.
    0.0191
    D.
    0.0232

  17. Consider one-dimensional steady state heat conduction, without heat generation, in a plane wall; with boundary conditions as shown in the figure below. The conductivity of the wall is given by k = k0 + bT; where k0 and b are positive constants, and T is temperature.

    As x increases, the temperature gradient ( dT/dx ) will
  18. A.
    remain constant
    B.
    be zero
    C.
    increase
    D.
    decrease

  19. In a rolling process, the state of stress of the material undergoing deformation is
  20. A.
    pure compression
    B.
    pure shear
    C.
    compression and shear
    D.
    tension and shear