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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
The ends of a string weighing w/metre are attached to two points at the same horizontal level. If the central dip is very small, the horizontal tension of the string throughout is

wl²/4d
wl²/8d
wl²/16d
wl/4d

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Applied Mechanics and Graphic Statics
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

u² tan² α/2g
u² cos² α/2g
u² sin 2α/2g
u² sin² α/2g

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

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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 tension in the string is

25 kg
17.5 kg
19.5 kg
22.5 kg

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Applied Mechanics and Graphic Statics
A ladder of weight 'w' rests against a smooth vertical wall, and rests on rough horizontal ground, the coefficient of friction between the ladder and the ground being 1/4. The maximum angle of inclination of the ladder to the vertical, if a man of weight 'w' is to walk to the top of it safely, is tan'1 x, where x is

3
1/3
4
1/4

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Applied Mechanics and Graphic Statics
The resultant of two forces acting at right angles is √34 kg and acting at 60° is 70 kg. The forces are

1 kg and 4 kg
2 kg and 3 kg
3 kg and 5 kg
√3 kg and √5 kg

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