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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
If the tension in a cable supporting a lift moving upwards is twice the tension when the lift is moving downwards, the acceleration of the lift, is

g/3
g/5
g/2
g/4

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Applied Mechanics and Graphic Statics
A rod 5 m in length is moving in a vertical plane. When it is inclined at 60° to horizontal, its lower end is moving horizontally at 3 m/sec and upper end is moving in vertical direction. The velocity of its upper end, is

0.5 m/sec
1.0 m/sec
1.5 m/sec
2.5 m/sec

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Applied Mechanics and Graphic Statics
A cube on a smooth horizontal surface

Can be in any of these states
Cannot be in neutral equilibrium
Cannot be in stable equilibrium
Cannot be in unstable equilibrium

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Applied Mechanics and Graphic Statics
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

√(gra/h)
4√(gra/h)
∛(gra/h)
gra/h

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Applied Mechanics and Graphic Statics
For maximum range of a projectile, the angle of projection should be

None of these
45°
60°
30°

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Applied Mechanics and Graphic Statics
For the given values of initial velocity of projection and angle of inclination of the plane, the maximum range for a projectile projected upwards will be obtained, if the angle of projection is

α = π/2 + β/2
α = π/4 - β/2
α = π/4 - β/2
α = β/2 - π/2

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