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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

5 cm
4 cm
3 cm
2 cm

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Applied Mechanics and Graphic Statics
The centre of gravity of the trapezium as shown in below figure from the side is at a distance of

(h/2) × [(b + 2a)/(b + a)]
(h/2) × [(2b + a)/(b + a)]
(h/3) × [(b + 2a)/(b + a)]
(h/3) × [(2b + a)/(b + a)]

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Applied Mechanics and Graphic Statics
The velocity of a body fallen from height ‘h’, on reaching the ground is given by

v = √(2gh)
v = 2gh
v = 1/√(2gh)
v = 2gh²

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Applied Mechanics and Graphic Statics
If two forces acting at a point are in equilibrium, they must be equal in magnitude and their line of action must be along

The perpendicular to both the lines
The same line in the same sense
None of these
The same line in opposite sense

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Applied Mechanics and Graphic Statics
A particle is dropped from the top of a tower 60 m high and another is projected upwards from the foot of the tower to meet the first particle at a height of 15.9 m. The velocity of projection of the second particle is

18 m/sec
16 m/sec
22 m/sec
20 m/sec

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Applied Mechanics and Graphic Statics
The intrinsic equation of catenary is

y = c sinh ψ
y = c cosh x/c
S = c tan ψ
y = c cosh ψ

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