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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
The moment of inertia of a circular lamina of diameter ‘d’, about an axis perpendicular to the plane of the lamina and passing through its centre, is

πd⁴/24
πd⁴/32
πd⁴/16
π/64 (D⁴ + d⁴)

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Applied Mechanics and Graphic Statics
A uniform pyramid and a uniform prism of same height lie with their base on the surface. Which is more stable ?

None of these
both equally stable
pyramid
prism

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Applied Mechanics and Graphic Statics
If a particle moves with a uniform angular velocity ‘ω’ radians/sec along the circumference of a circle of radius ‘r’, the equation for the velocity of the particle, is

v = ω √(r² - y²)
y = ω √(y - r)
v = ω √(y² - r²)
v = ω √(r² + y²)

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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°
75°
15°
45°

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Applied Mechanics and Graphic Statics
Three forces which act on a rigid body to keep it in equilibrium. The forces must be coplanar and

None of these
Concurrent
Parallel
Concurrent parallel

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Applied Mechanics and Graphic Statics
Time of flight of a projectile on a horizontal plane, is

2u tanα/g
2u cotα/g
2u cosα/g
2u sinα/g

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