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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
The intrinsic equation of catenary is

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

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Applied Mechanics and Graphic Statics
A block in the shape of a parallelepiped of sides 1m × 2m × 3m lies on the surface. Which of the faces gives maximum stable block?

1 m × 3 m
2 m × 3 m
1 m × 2 m
Equally stable on all faces

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Applied Mechanics and Graphic Statics
A flywheel of moment of inertia 20 kg.m is acted upon by a tangential force of 5 N at 2 m from its axis, for 3 seconds. The increase in angular velocity in radian per second is

43892
43832
2
3

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Applied Mechanics and Graphic Statics
The total kinetic energy of a hoop of mass 2 kg and radius 4 m sliding with linear velocity 8 m/sec and angular velocity 5 radian/sec is

400 J
64 J
464 J
89 J

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

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Applied Mechanics and Graphic Statics
A particle moves along a straight line such that distance ‘x’ traversed in ‘t’ seconds is given by x = t²(t + 1), the acceleration of the particle, will be

6t - 2
6t + 2
3t³ - 2t
3t² + 2t

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