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Civil Engineering :: Applied Mechanics

  1. The resultant of the forces acting on a body will be zero if the body

  2. A.

    rotates

    B.

    moves with variable velocity in a straight line

    C.

    moves along a curved path

    D.

    does not move at all.


  3. A ball moving with a velocity of 5 m/sec impinges a fixed plane at an angle of 45° and its direction after impact is equally inclined to the line of impact. If the coefficient of restitution is 0.5, the velocity of the ball after impact will be

  4. A.

    0.5 m/sec

    B.

    1.5 m/sec

    C.

    2.5 m/sec

    D.

    3.5 m/sec

    E.

    4.5 m/sec.


  5. A pilot flies a small plane in a vertical loop of radius r. At the top of its trajectory he experiences weightlessness. If the acceleration due to gravity is g, the speed of the plane at the top of its trajectory would be

  6. A.

    zero

    B.

    infinite

    C.

    \(\sqrt{gr}\)

    D.

    \(\sqrt{ 2gr}\)


  7. The distance of the c.g. of a semi-circular arc of radius r from its diameter along the radius of symmetry, is

  8. A.

    \(\frac { 3r } { n} \)

    B.

    \(\frac {2r } {3 n} \)

    C.

    \(\frac { 2n} { r} \)

    D.

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


  9. A Seconds pendulum executes

  10. A.

    0.5 beat per second

    B.

    1.0 beat per second

    C.

    2.0 beats per second

    D.

    2.5 beats per second

    E.

    3 beats per second.


  11. The ratio of the ranges on the inclined plane with motion upward and with motion downward for a given velocity, angle of projection will be

  12. A.

    \( \frac { sin (a+{\beta}) } {sin (a-{\beta})} \)

    B.

    \( \frac { sin (a-{\beta}) } {sin (a+{\beta})} \)

    C.

    \( \frac { cos (a-{\beta}) } {cos (a+{\beta})} \)

    D.

    \( \frac { tan (a-{\beta}) } {tan(a+{\beta})} \)


  13. For maximum range of a projectile, the angle of projection should be

  14. A.

    30°

    B.

    45°

    C.
    60°
    D.

    none of these.


  15. M.I. of a thin ring (external diameter D, internal diameter d) about an axis perpendicular to the plane of the ring, is

  16. A.

    \(\frac { n} { 64 } \)\((D^4+d^4)\)

    B.

    \(\frac { n} { 32 } \)\((D^4-d^4)\)

    C.

    \(\frac { n} { 32 } \)\((D^4+d^4)\)

    D.

     \(\frac { n} { 32 } \)\((D^4*d^4)\)


  17. Pick up the correct statement from the following for the structure shown in below figure

  18. A.

    The horizontal reaction at A is 2 \(\sqrt{3}\)t ←

    B.

    The horizontal reaction at C is 2\(\sqrt{3}\)

    C.

    The vertical reaction at A is zero

    D.
    The vertical reaction at C is 2 t ↑
    E.

    All the above.


  19. A particle moves with a velocity of 2 m/sec in a straight line with a negative acceleration of 0.1 m/sec2. Time required to traverse a distance of 1.5 m, is

  20. A.

    40 sec

    B.
    30 sec
    C.

    20 sec

    D.

    15 sec

    E.

    10 sec.