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Civil Engineering :: Applied Mechanics and Graphic Statics

  1. A stone is thrown vertically upwards with a vertical velocity of 49 m/sec. It returns to the ground in

  2. A.

     5 sec

    B.

     8 sec

    C.

     10 sec

    D.

     20 sec

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  3. A vehicle weighing w kg is to run on a circular curve of radius r. If the height of its centre of gravity above the road level is h and the distance between the centres of wheels is 2a, the maximum velocity, in order to avoid over turning, will be

  4. A.

     gra/h

    B.

     √(gra/h)

    C.

     ∛(gra/h)

    D.

     4√(gra/h)

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  5. The unit of force in C.G.S. system of units, is called

  6. A.

     Dyne

    B.

     Newton

    C.

     Kg

    D.

     All the above

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  7. A string of length 90 cm is fastened to two points ‘A’ and ‘B’ at the same level 60 cm apart. A ring weighing 120 g is slided on the string. A horizontal force ‘P’ is applied to the ring such that it is in equilibrium vertically below ‘B’. The value of ‘P’ is:

  8. A.

     40 g

    B.

     60 g

    C.

     80 g

    D.

     100 g

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  9. A body of weight ‘w’ placed on an inclined plane is acted upon by a force ‘P’ parallel to the plane which causes the body just to move up the plane. If the angle of inclination of the plane is ‘θ’ and angle of friction is ‘φ’, the minimum value of ‘P’, is

  10. A.

     w sin (φ - θ)/cos φ

    B.

     w sin (θ - φ)/cos φ

    C.

     w cos (θ + φ)/cos φ

    D.

     w sinθ cos(θ - φ)/sin φ

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  11. If the linear velocity of a point on the rim of a wheel of 10 m diameter, is 50 m/sec, its angular velocity will be

  12. A.

     20 rad/sec

    B.

     15 rad/sec

    C.

     10 rad/sec

    D.

     5 rad/sec

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  13. The centre of gravity of a trapezoidal dam section whose top width is a, bottom width is band the vertical side is a, from its vertical face is

  14. A.

     (a² + ab + b²)/3 (a + b)

    B.

     (b² + bc + c²)/3 (b + c)

    C.

     (a² + ab + c²)/3 (a + c)

    D.

     None of these

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  15. Pick up the correct statement from the following. A rubber ball when strikes a wall rebounds but a lead ball of same mass and velocity when strikes the same wall, falls down

  16. A.

     Rubber and lead balls undergo equal changes in momentum

    B.

     Change in momentum suffered by lead ball is less that of rubber ball

    C.

     Momentum of rubber ball is less than that of lead ball

    D.

     None of these

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  17. If two forces of 3 kg and 4 kg act at right angles to each other, their resultant force will be equal to

  18. A.

     7 kg

    B.

     1 kg

    C.

     5 kg

    D.

     None of these

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  19. The masses of two balls are in the ratio of 2 : 1 and their respective velocities are in the ratio of 1 : 2 but in opposite direction before impact. If the coefficient of restitution is ½, the velocities of separation of the balls will be equal to

  20. A.

     Original velocity in the same direction

    B.

     Half the original velocity in the same direction

    C.

     Half the original velocity in the opposite direction

    D.

     Original velocity in the opposite direction

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