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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
A stone is thrown up a slope of inclination 60° to the horizontal. At what angle to the slope must the stone be thrown so as to land as far as possible from the point of projection ?

30°
45°
75°
15°

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Applied Mechanics and Graphic Statics
The centre of gravity of the trapezium as shown in below figure from the side is at a distance of Applied Mechanics and Graphic Statics mcq question image

(h/2) × [(2b + a)/(b + a)]
(h/3) × [(2b + a)/(b + a)]
(h/3) × [(b + 2a)/(b + a)]
(h/2) × [(b + 2a)/(b + a)]

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Applied Mechanics and Graphic Statics
A smooth cylinder lying on its convex surface remains

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

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Applied Mechanics and Graphic Statics
A weight of 100 kg is supported by a string whose ends are attached to pegs ‘A’ and ‘B’ at the same level shown in below figure. The tension in the string is Applied Mechanics and Graphic Statics mcq question image

120 kg
130 kg
150 kg
100 kg

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Applied Mechanics and Graphic Statics
If the kinetic energy and potential energy of a simple harmonic oscillator of amplitude A are both equal to half the total energy, then the displacement is equal to

A/√2
A
A√2
A/2

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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
2
3
4

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