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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
A particle moves in a straight line and its position is defined by the equation x = 6 t² - t3 where t is expressed in seconds and ‘x’ in meters. The maximum velocity during the motion is

6 m/sec
24 m/sec
12 m/sec
48 m/sec

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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

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

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Applied Mechanics and Graphic Statics
The ratio of the moment of inertia of a rectangle about its centroidal axis to the moment of inertia about its base, is

2
43832
43894
43834

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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 smooth cylinder lying on its convex surface remains

In unstable equilibrium
Out of equilibrium
In stable equilibrium
In neutral equilibrium

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Applied Mechanics and Graphic Statics
The centre of gravity of a triangle is at the point where three

Perpendicular bisectors of the sides of the triangle meet
None of these
Medians of the triangle meet
Bisectors of the angle of the triangle meet

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