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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
A disc of mass 4 kg, radius 0.5 m and moment of inertia 3 kg.m² rolls on a horizontal surface so that its center moves with speed 5 m/see. Kinetic energy of the disc is

400 J
50 J
200 J
150 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

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

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Applied Mechanics and Graphic Statics
Which of the following represents the state of neutral equilibrium?

A cube resting on one edge
A smooth cylinder lying on a convex surface
A smooth cylinder lying on a curved surface
None of these

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Applied Mechanics and Graphic Statics
If the velocity of projection is 4 m/sec and the angle of projection is α°, the maximum height of the projectile from a horizontal plane, is

u² sin² α/2g
u² sin 2α/2g
u² cos² α/2g
u² tan² α/2g

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Applied Mechanics and Graphic Statics
A car goes round a curve of radius 100 m at 25 m/sec. The angle to the horizontal at which the road must be banked to prevent sideways friction on the car wheels is tan"1 x, where x is (Assume g = 10 m/sec²)

43959
44079
43898
43832

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Applied Mechanics and Graphic Statics
For lifting a load of 50 kg through a distance of 2.5 cm, an effort of 12.5 kg is moved through a distance of 40 cm. The efficiency of the lifting machine, is

0.6
0.75
0.7
0.65

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