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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
The centre of gravity of a plane lamina will not be at its geometrical centre if it is a

Right angled triangle
Equilateral triangle
Circle
Rectangle

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

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

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

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Applied Mechanics and Graphic Statics
A stone is thrown up a slope of inclination 60° to the horizontal. At what angle to the slope must the stone be thrown so as to land as far as possible from the point of projection ?

75°
15°
45°
30°

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Applied Mechanics and Graphic Statics
A rod 5 m in length is moving in a vertical plane. When it is inclined at 60° to horizontal, its lower end is moving horizontally at 3 m/sec and upper end is moving in vertical direction. The velocity of its upper end, is

1.5 m/sec
0.5 m/sec
2.5 m/sec
1.0 m/sec

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Applied Mechanics and Graphic Statics
One end of a light string 4 m in length is fixed to a point on a smooth wall and the other end fastened to a point on the surface of a smooth sphere of diameter 2.25 m and of weight 100 kg. The reaction between the sphere and the wall of the arrangement made is

110 kg
108.5 kg
102.5 kg
105.5 kg

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