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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
A bullet weighing 10 gm moves with a velocity of l km/sec. Its kinetic energy is (i) 5000 Nm (ii) 5000 kg.m (iii) 5000 J

Both (i) and (iii)
All (i), (ii) and (iii)
Both (ii) and (iii)
Only (ii)

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Applied Mechanics and Graphic Statics
For maximum range of a projectile, the angle of projection should be

None of these
30°
45°
60°

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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

0.75
0.65
0.7
0.6

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Applied Mechanics and Graphic Statics
A solid cylinder of mass M and radius R rolls down an inclined plane without slipping. The acceleration of center of mass of rolling cylinder is (where ‘g’ is acceleration due to gravity and 0 is inclination of plane with horizontal.)

(2/3) g sin 0
g sin 9
(1/3) g sinB
(2/3) g cos 9

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

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Applied Mechanics and Graphic Statics
Moment of inertia of a squares of side ‘b’ about an axis through its centre of gravity, is

b⁴/8
b³/4
b⁴/12
b⁴/3

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