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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
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

4 cm
5 cm
3 cm
2 cm

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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

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

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Applied Mechanics and Graphic Statics
The angular speed of a car taking a circular turn of radius 100 m at 36 km/hr will be

0.1 rad/sec
100 rad/sec
10 rad/sec
1 rad/sec

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Applied Mechanics and Graphic Statics
Maximum efficiency of a screw jack for the angle of friction θ, is

sin θ/(1 + sin θ)
(1 + sin θ)/(1 - sin θ)
(1 - sin θ)/sin θ
(1 - sin θ)/(1 + sin θ)

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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/2
g/5
g/3
g/4

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Applied Mechanics and Graphic Statics
For a non-concurrent force system to be in equilibrium

None of these
Both force polygon and funicular polygon must close
Only the closure of funicular polygon is sufficient
Only the closure of force polygon is sufficient

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