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Civil Engineering :: Applied Mechanics

  1. The resultant of two forces acting at right angles is \(\sqrt{34} \)kg and acting at 60° is 70 kg. The forces are

  2. A.

    1 kg and 4 kg

    B.

    2 kg and 3 kg

    C.

    3 kg and \(\sqrt{5}\) kg

    D.

    \(\sqrt{3}\)kg and 5 kg

    E.

    3 kg and 5 kg.

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  3. The velocity of a body fallen from height h, on reaching the ground is given by

  4. A.

    v = 2gh

    B.

    v = 2gh2

    C.

    V = \(\sqrt{2gh}\)

    D.

    V = \(1/\sqrt{2gh}\)

    E.

    h2/2g

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  5. 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

  6. A.

    9.3 m/sec

    B.

    8.3 m/sec

    C.

    7.3 m/sec

    D.

    6.3 m/sec.

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  7. μ is coefficient of friction. A wheeled vehicle travelling on a circular level track will slip and overturn simultaneously if the ratio of its wheel distance to the height of its centroid, is

  8. A.

    μ

    B.
    C.

    D.

    \(\frac { 1 } { 2 } μ\)

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  9. The necessary condition of equilibrium of a body, is :

  10. 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).

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  11. A trolley wire weighs 1 kg per metre length. The ends of the wire are attached to two poles 20 m apart. If the horizontal tension is 1000 kg, the central dip of the cable is

  12. A.

    2 cm

    B.

    3 cm

    C.

    4 cm

    D.

    5 cm.

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  13. Principle of Transmissibility of Forces states that, when a force acts upon a body, its effect is

  14. A.

    maximum if it acts at the centre of gravity of the body

    B.
    different at different points on its line of
    C.

    same at every point on its line of action

    D.

    minimum if it acts at the C.G. of the body

    E.

    none of these.

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  15. A ball is dropped from a height of 2.25 m on a smooth floor and rises to a height of 1.00 m after the bounce. The coefficient of restitution between the ball and the floor is

  16. A.

    0.33

    B.

    0.44

    C.

    0.57

    D.

    0.67

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  17. The centre of gravity of the trapezium as shown in below figure from the side is at a distance of

  18. A.

    \(\frac { h } { 3 } \) x \([\frac { b+2a} { b+a } ]\)

    B.

    \(\frac { h } { 3 } \) x \([\frac { 2b+a} { b+a } ]\)

    C.

    \(\frac { h } { 2 } \) x \([\frac { b+2a} { b+2a } ] \) 

    D.

    \(\frac { h } { 2 } \) x \([\frac { 2b+a} { b+a } ] \)

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  19. 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

  20. A.

    20 rad/sec

    B.

    15 rad/sec

    C.

    10 rad/sec

    D.

    5 rad/sec.

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