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Civil Engineering :: Applied Mechanics and Graphic Statics

  1. The ratio of kinetic energy and potential energy of a simple harmonic oscillator, at a displacement equal to half its amplitude is given by

  2. A.

     1 : 2

    B.

     1 : 1

    C.

     2 : 1

    D.

     3 : 1


  3. Newton's law of Collision of elastic bodies states that when two moving bodies collide each other, their velocity of separation

  4. A.

     Is directly proportional to their velocity of approach

    B.

     Is inversely proportional to their velocity of approach

    C.

     Bears a constant ratio to their velocity of approach

    D.

     Is equal to the sum of their velocities of approach


  5. A quantity measured in the C.G.S system of units has dimensions M”2L3 T3/2. What numerical factor would be required to convert the quantity to SI units ?

  6. A.

     1

    B.

     100

    C.

     1/100

    D.

     1/10000


  7. The necessary condition of equilibrium of a body is:

  8. A.

     Algebraic sum of horizontal components of all the forces must be zero

    B.

     Algebraic sum of vertical components of all the forces must be zero

    C.

     Algebraic sum of the moments of the forces about a point must be zero

    D.

     All (A), (B) and (C)


  9. The resolved part of the resultant of two forces inclined at an angle θ in a given direction is

  10. A.

     Algebraic sum of the resolved parts of the forces in the direction

    B.

     Arithmetical sum of the resolved parts of the forces in the direction

    C.

     Difference of the forces multiplied by cosine θ°

    D.

     Sum of the forces multiplied by the tangent θ°


  11. When a body moves round a fixed axis, it has

  12. A.

     A rotary motion

    B.

     A circular motion

    C.

     A translatory

    D.

     A rotary motion and translatory motion


  13. Time of flight of a projectile on a horizontal plane, is

  14. A.

     2u sinα/g

    B.

     2u cosα/g

    C.

     2u tanα/g

    D.

     2u cotα/g


  15. If the velocity of projection is 4 m/sec and the angle of projection is α°, the maximum height of the projectile from a horizontal plane, is

  16. A.

     u² cos² α/2g

    B.

     u² sin² α/2g

    C.

     u² tan² α/2g

    D.

     u² sin 2α/2g


  17. Two particles have been projected at angles 64° and 45° to the horizontal. If the velocity of projection of first is 10 m/sec, the velocity of projection of the other for equal horizontal ranges is

  18. A.

     9.3 m/sec

    B.

     8.3 m/sec

    C.

     7.3 m/sec

    D.

     6.3 m/sec


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

  20. A.

     30°

    B.

     45°

    C.

     60°

    D.

     None of these