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Applied Mechanics and Graphic Statics

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

½ l
2/√3 l
¾ l
l/√2

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Applied Mechanics and Graphic Statics
The motion of a particle moving with S.H.M. from an extremity to the other, constitutes

One full oscillation
None of these
Two oscillations
Half an oscillation

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

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Applied Mechanics and Graphic Statics
A cube on a smooth horizontal surface

Can be in any of these states
Cannot be in stable equilibrium
Cannot be in unstable equilibrium
Cannot be in neutral equilibrium

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Applied Mechanics and Graphic Statics
If two forces acting at a point are in equilibrium, they must be equal in magnitude and their line of action must be along

None of these
The same line in opposite sense
The same line in the same sense
The perpendicular to both the lines

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Applied Mechanics and Graphic Statics
The force polygon representing a set of forces in equilibrium is a

Parallelogram
Open polygon
Triangle
Closed polygon

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