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Civil Engineering :: Applied Mechanics and Graphic Statics

  1. A sphere and a cylinder having the same mass and radii start from rest and roll down the same inclined plane. Which body gets to the bottom first?

  2. A.

     Sphere with greater rotational energy at bottom than cylinder

    B.

     Sphere with lesser rotational energy at bottom than cylinder

    C.

     Cylinder with greater rotational energy at bottom than sphere

    D.

     Both reach the bottom simultaneously with equal rotational energy at bottom


  3. A light rope is loaded with many equal weights at equal horizontal intervals. The points of suspension on the rope lie on a

  4. A.

     Parabola

    B.

     Catenary

    C.

     Cycloid

    D.

     Ellipse


  5. If the resultant of two forces has the same magnitude as either of the force, then the angle between the two forces is

  6. A.

     30°

    B.

     45°

    C.

     60°

    D.

     120°


  7. If the resultant of two forces ‘P’ and ‘Q’ acting at an angle ‘θ’ makes an angle ‘α’ with ‘P’, then tan α equals

  8. A.

     P sin θ/P - Q cos θ

    B.

     Q sin θ/P + Q cos θ

    C.

     P sin θ/P + Q tan θ

    D.

     Q sin θ/P + Q sin θ


  9. The motion of a particle moving with S.H.M. from an extremity to the other, constitutes

  10. A.

     Half an oscillation

    B.

     One full oscillation

    C.

     Two oscillations

    D.

     None of these


  11. The unit of Moment of Inertia of a body, is

  12. A.

     m

    B.

     m²

    C.

     m³

    D.

     m⁴


  13. The angle of projection at which the horizontal range and maximum height of a projectile are equal to

  14. A.

     36°

    B.

     45°

    C.

     56°

    D.

     76°


  15. The angle of projection at which the horizontal range and maximum height of a projectile are equal to

  16. A.

     45°

    B.

     tan-1 (2)

    C.

     tan-‘ (4)

    D.

     tan”1 (1/4)


  17. A rigid body is in a stable equilibrium if the application of any force

  18. A.

     Can raise the CG of the body but cannot lower it

    B.

     Tends to lower the CG of the body

    C.

     Neither raises nor lowers the CG of the body

    D.

     None of above


  19. What is the answer to this question?

  20. A.

     10.8 t

    B.

     10.6 t

    C.

     10.4 t

    D.

     10.2 t