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Civil Engineering :: Applied Mechanics

  1.  

    According to Kennedy's theorem, if three bodies have plane motions, their instantaneous centres lie on

  2. A.

    a point

    B.

    a straight line

    C.

    two straight lines

    D.

    a triangle.


  3. A ball of mass 250 g moving on a smooth horizontal table with a velocity of 10 m/sec hits an identical stationary ball B on the table. If the impact is perfectly plastic, the velocity of the ball B just after impact would be

  4. A.

    zero

    B.

    5 m/sec

    C.

    10 m/sec

    D.

    none of these.


  5. If α is the angular acceleration of a compound pendulum whose angular displace ment is θ, the frequency of the motion is

  6. A.

    \(\sqrt{α/θ}\)

    B.

     \( \frac { 1 } { 2 n} \)\(\sqrt\frac {α} { θ } \)

    C.

    4π \(\sqrt{α/θ}\)

    D.

    \(\sqrt{α - θ.}\).


  7. If two forces each equal to T in magnitude act at right angles, their effect may be neutralised by a third force acting along their bisector in opposite direction whose magnitude will be

  8. A.

    T

    B.

    1/2 T

    C.

    \( \sqrt{2}\) T

    D.

    T

    E.

    none of these.


  9. Energy may be defined as

  10. A.

    power of doing work

    B.

    capacity of doing work

    C.

    rate of doing work

    D.

    all the above.


  11. The intrinsic equation of catenary is

  12. A.

    S = c tan ψ

    B.

    y = c cosh x/c

    C.

    y = c cosh ψ

    D.
    y = c sinh ψ.

  13. A ball which is thrown upwards, returns to the ground describing a parabolic path during its flight

  14. A.

    vertical component of velocity remains constant

    B.

    horizontal component of velocity remains constant

    C.

    speed of the ball remains constant

    D.

    kinetic energy of the ball remains constant.


  15. Angular acceleration of a particle may be expressed as

  16. A.

    radians/sec2

    B.

    degrees/sec2

    C.
    revolutions/sec
    D.

    all the above.


  17. Two loads of 50 kg and 75 kg are hung at the ends of a rope passing over a smooth pulley shown in below figure. The tension in the string is :

  18. A.

    50 kg

    B.

    75 kg

    C.

    25 kg

    D.

    60 kg.


  19.  

    Total no of instantaneous centres of a machine having n links, is

  20. A.

    n/2

    B.
    n
    C.

    (n - 1)

    D.

    \(\frac { n(n-1) } { 2 } \)