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Civil Engineering :: Applied Mechanics

  1. A stone of mass 1 kg is tied to a string of length 1 m and whirled in a horizontal circle at a constant angular speed 5 rad/sec. The tension in the string is,

  2. A.

    5 N

    B.

    10 N

    C.
    15 N
    D.

    25 N

    E.

    None of these.


  3. For a simple pendulum, time period for a beat, is

  4. A.

    π \(\sqrt{llg}\)

    B.

    π \(\sqrt2{llg}\)

    C.

    π \(\sqrt{gl2l}\)

    D.

    π\(\sqrt{ll2g}\)

    E.

    π \(\sqrt{2gll}\)


  5. The ratio of the moment of inertia of a rectangle about its centroidal axis to the moment of inertia about its base, is

  6. A.
    1/4
    B.

    1/2

    C.
    3/4
    D.

    2.


  7. The apparent weight of a man in a moving lift is less than his real weight when it is going down with

  8. A.

    uniform speed

    B.
    an acceleration
    C.

    linear momentum

    D.

    retardation.


  9. P is the force acting on a body whose mass is m and acceleration is f. The equation P - mf = 0, is known as

  10. A.

    equation of dynamics

    B.

    equation of dynamic equilibrium

    C.

    equation of statics

    D.

    none of these.


  11. Newtons's Law of Motion is :

  12. A.

    Every body continues in its state of rest or of uniform motion, in a straight line, unless it is acted upon by some external force

    B.

    The rate of change of momentum is directly proportional to the impressed force, and takes place in the same direction, in which the force acts

    C.

    To every action, there is always an equal and opposite reaction

    D.

    All the above.


  13. The member which does not carry zero force in the structure shown in below figure, is  

  14. A.

    ED

    B.

    DC

    C.
    BC
    D.

    BD.


  15. The equation of motion of a particle starting from rest along a straight line is x = t3 - 3l2 + 5. The ratio of the velocities after 5 sec and 3 sec will be

  16. A.

    2

    B.

    3

    C.

    4

    D.

    5

    E.

    4.5


  17. The moment of inertia of a hollow circular section whose external diameter is 8 cm and internal diameter is 6 cm, about centroidal axis, is

  18. A.

    437.5 cm4

    B.

    337.5 cm4

    C.

    237.5 cm4

    D.
    137.5 cm4
    E.

    37.5 cm4.


  19. The height at which the end of a rope of length l should be tied so that a man pulling at the other end may have the greatest tendency to overturn the pillar, is

  20. A.

    \(\frac {3 } { 4 } l\)

    B.

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

    C.

    \(\frac { 1 } { \sqrt{2} } \)

    D.

    \(\frac { 2 } { \sqrt{3} } l\)

    E.

    none of these.