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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
The equation of motion of a particle starting from rest along a straight line is x = t³ - 3t²+ 5. The ratio of the accelerations after 5 sec and 3 sec will be

5
3
4
2

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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
None of these
A smooth cylinder lying on a convex surface
A smooth cylinder lying on a curved surface

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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

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

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Applied Mechanics and Graphic Statics
The height at which the end of a rope of length ‘l’ should be tied so that a man pulling at the other end may have the greatest tendency to overturn the pillar, is

2/√3 l
½ l
l/√2
¾ l

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Applied Mechanics and Graphic Statics
One Newton force, is

10⁶ dynes
10⁴ dynes
10³ dynes
10⁵ dynes

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Applied Mechanics and Graphic Statics
The gravitational force makes a satellite go round the earth in a circular orbit, if it is projected with an initial velocity of

11.26 km/sec, the satellite escapes the pull of the earth
8.04 km/sec at a height of 285 km
All listed here
11.11 km/sec at a height of 37,400 km

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