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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
A particle moves along a straight line such that distance ‘x’ traversed in ‘t’ seconds is given by x = t²(t + 1), the acceleration of the particle, will be

6t - 2
3t³ - 2t
6t + 2
3t² + 2t

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Applied Mechanics and Graphic Statics
A cable loaded with 10 kN/m of span is stretched between supports in the same horizontal line 100 m apart. If the central dip is 10 m, then the maximum and minimum pull in the cable respectively are

1436.2 kN and 1500 kN
1436.2 kN and 1250 kN
1346.3 kN and 1250 kN
1346.3 kN and 1500 kN

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Applied Mechanics and Graphic Statics
One end of a light string 4 m in length is fixed to a point on a smooth wall and the other end fastened to a point on the surface of a smooth sphere of diameter 2.25 m and of weight 100 kg. The reaction between the sphere and the wall of the arrangement made is

105.5 kg
102.5 kg
110 kg
108.5 kg

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Applied Mechanics and Graphic Statics
Which of the following represents the state of neutral equilibrium?

A cube resting on one edge
A smooth cylinder lying on a curved surface
A smooth cylinder lying on a convex surface
None of these

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Applied Mechanics and Graphic Statics
One Joule is equivalent to

1 kg wt metre
1 dyne metre
9.81 Newton metre
1 Newton metre

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Applied Mechanics and Graphic Statics
If ‘α’ is the angular acceleration of a compound pendulum whose angular displacement is ‘θ’, the frequency of the motion is

4π √(α/θ)
(1/2π) √(α/θ)
2π √(α/θ)
2π √(α - θ)

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