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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
The condition of equilibrium for any system of forces in a plane is

That resultant couple must be zero
Both (A) and (B)
That polygon of forces must close
None of these

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

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Applied Mechanics and Graphic Statics
Angular acceleration of a particle may be expressed as

Revolutions/sec
Degrees/sec²
Radians/sec²
All listed here

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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

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

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Applied Mechanics and Graphic Statics
Instantaneous center is at infinity when the angular velocity is

Zero
Constant
Minimum
Maximum

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Applied Mechanics and Graphic Statics
If two forces each equal to ‘T’ in magnitude act at right angles, their effect may be neutralized by a third force acting along their bisector in opposite direction whose magnitude will be

2 T
3 T
1/2 T
√2 T

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