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Applied Mechanics and Graphic Statics

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?

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

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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 49 kg lady stands on a spring scale in an elevator. During the first 5 sec, starting from rest, the scale reads 69 kg. The velocity of the elevator will be

20 m/sec
25 m/sec
10 m/sec
15 m/sec

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Applied Mechanics and Graphic Statics
The vertical reaction at the support ‘A’ of the structure shown in below figure, is

3 t
2 t
1 t
3.5 t

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Applied Mechanics and Graphic Statics
A particle is dropped from the top of a tower 60 m high and another is projected upwards from the foot of the tower to meet the first particle at a height of 15.9 m. The velocity of projection of the second particle is

20 m/sec
22 m/sec
18 m/sec
16 m/sec

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Applied Mechanics and Graphic Statics
A stone was thrown vertically upwards from the ground with a velocity of 50 m/sec. After 5 seconds another stone was thrown vertically upwards from the same place. If both the stones strike the ground at the same time, then the velocity with which the second stone was thrown should be (Assume g = 10 m/sec²)

15 m/sec
25 m/sec
40 m/sec
50 m/sec

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