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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

2 cm
5 cm
3 cm
4 cm

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Applied Mechanics and Graphic Statics
The potential energy of a particle falling through a straight shaft drilled through the earth (assumed homogenous and spherical) is proportional to (where r is the distance of’the particle from centre of the earth)

r2
log r
1/r
r

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Applied Mechanics and Graphic Statics
If ‘l’ is the span of a light suspension bridge who’s each cable carries total weight (w) and the central dip is ‘y’, the horizontal pull at each support, is

wl/2y
wl
wl/8y
wl/4y

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Applied Mechanics and Graphic Statics
The force polygon representing a set of forces in equilibrium is a

Triangle
Open polygon
Parallelogram
Closed polygon

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Applied Mechanics and Graphic Statics
If the kinetic energy and potential energy of a simple harmonic oscillator of amplitude A are both equal to half the total energy, then the displacement is equal to

A/√2
A√2
A/2
A

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Applied Mechanics and Graphic Statics
Centre of gravity of a thin hollow cone lies on the axis of symmetry at a height of

One-half of the total height above base
One-fourth of the total height above base
One-third of the total height above base
None of these

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