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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
M.I. of solid sphere, is

Mr²
πr4/2
⅔ Mr²
½ Mr²

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Applied Mechanics and Graphic Statics
The direction of projection should bisect the angle between the inclined plane and the vertical for a range of a projectile on inclined plane

None of these
To be minimum
To be zero
To be maximum

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

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

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Applied Mechanics and Graphic Statics
The centre of gravity of a trapezoidal dam section whose top width is a, bottom width is band the vertical side is a, from its vertical face is

(a² + ab + c²)/3 (a + c)
(a² + ab + b²)/3 (a + b)
(b² + bc + c²)/3 (b + c)
None of these

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Applied Mechanics and Graphic Statics
If a body is lying on a plane whose inclination with the horizontal is less than the angle of friction, then i. a force is required to move the body upwards ii. a force is required to move the body downward iii. the body will not be in equilibrium The correct answer is

only (ii)
both (i) and (ii)
both (i) and (iii)
only (i)

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Applied Mechanics and Graphic Statics
The velocity of a moving body, is

A vector quantity
None of these
A constant quantity
A scalar quantity

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