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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
The centre of gravity of a quadrant of a circle lies along its central radius at a distance of

0.6 R
0.2 R
0.3 R
0.4 R

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Applied Mechanics and Graphic Statics
A string of length 90 cm is fastened to two points ‘A’ and ‘B’ at the same level 60 cm apart. A ring weighing 120 g is slided on the string. A horizontal force ‘P’ is applied to the ring such that it is in equilibrium vertically below ‘B’. The value of ‘P’ is:

40 g
100 g
80 g
60 g

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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
3 cm
5 cm
2 cm

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Applied Mechanics and Graphic Statics
The ratio of kinetic energy and potential energy of a simple harmonic oscillator, at a displacement equal to half its amplitude is given by

0.042361111111111
0.12569444444444
0.043055555555556
0.084027777777778

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Applied Mechanics and Graphic Statics
The ratio of the ranges on the inclined plane with motion upward and with motion downward for a given velocity, angle of projection will be

sin (α + β)/sin (α - β)
sin (α - β)/sin (α + β)
tan (α - β)/tan (α + β)
cos (α - β)/cos (α + β)

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Applied Mechanics and Graphic Statics
The bending moment in an arch is proportional to

Intercept between the arch axis and the funicular polygon
Vertical ordinate of funicular polygon
None of these
Vertical ordinate of the arch

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