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Applied Mechanics and Graphic Statics

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 cos² α/2g
u² tan² α/2g
u² sin 2α/2g

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Applied Mechanics and Graphic Statics
A 2 m long ladder rests against a wall and makes an angle of 30° with the horizontal floor. Where will be the instantaneous center of rotation when the ladder starts slipping ?i. 1.0 in from the wallii. 1.732 m from the walliii. 1.0 m above the flooriv. 1.732 m above the floorThe correct answer is

(i) and (iii)
(ii) and (iii)
(ii) and (iv)
(i) and (iv)

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

0.2 R
0.6 R
0.4 R
0.3 R

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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)

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

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Applied Mechanics and Graphic Statics
The Centre of gravity of a 10 × 15 × 5 cm T section from its bottom, is

7.5 cm
7.85 cm
5.0 cm
8.75 cm

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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

108.5 kg
102.5 kg
110 kg
105.5 kg

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