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GATE 2017-2018 :: GATE Mechanical

  1. Consider the function f(x) = |x| in the interval -1 ≤ x ≤ 1. At the point x = 0, f(x) is
  2. A.
    continuous and differentiable.
    B.
    non-continuous and differentiable.
    C.
    continuous and non-differentiable.
    D.
    neither continuous nor differentiable.

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  3. Which one of the following is NOT a decision taken during the aggregate production planning stage?
  4. A.
    Scheduling of machines
    B.
    Amount of labour to be committed
    C.
    Rate at which production should happen
    D.
    Inventory to be carried forward

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  5.  is
  6. A.
    1/4
    B.
    1/2
    C.
    1
    D.
    2

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  7. A CNC vertical milling machine has to cut a straight slot of 10 mm width and 2 mm depth by a cutter of 10 mm diameter between points (0, 0) and (100, 100) on the XY plane (dimensions in mm). The feed rate used for milling is 50 mm/min. Milling time for the slot (in seconds) is
  8. A.
    120
    B.
    170
    C.
    180
    D.
    240

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  9. Which one of the following configurations has the highest fin effectiveness?
  10. A.
    Thin, closely spaced fins
    B.
    Thin, widely spaced fins
    C.
    Thick, widely spaced fins
    D.
    Thick, closely spaced fins

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  11. An ideal gas of mass m and temperature T1 undergoes a reversible isothermal process from an initial pressure P1 to final pressure P2. The heat loss during the process is Q. The entropy change ∆S of the gas is
  12. A.
    mR ln(P2/P1)
    B.
    mR ln(P1/P2)
    C.
    mR ln(P2/P1) - Q/T1
    D.
    zero

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  13. In the mechanism given below, if the angular velocity of the eccentric circular disc is 1 rad/s, the angular velocity (rad/s) of the follower link for the instant shown in the figure is

  14. A.
    0.05
    B.
    0.1
    C.
    5.0
    D.
    10.0

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  15. A circular solid disc of uniform thickness 20 mm, radius 200 mm and mass 20 kg, is used as a flywheel. If it rotates at 600 rpm, the kinetic energy of the flywheel, in Joules is
  16. A.
    395
    B.
    790
    C.
    1580
    D.
    3160

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  17. A cantilever beam of length L is subjected to a moment M at the free end. The moment of inertia of the beam cross section about the neutral axis is I and the Young's modulus is E. The magnitude of the maximum deflection is
  18. A.
    ML2/2EI
    B.
    ML2/EI
    C.
    2ML2/EI
    D.
    4ML2/EI

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  19. For a long slender column of uniform cross section, the ratio of critical buckling load for the case with both ends clamped to the case with both ends hinged is
  20. A.
    1
    B.
    2
    C.
    4
    D.
    8

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