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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
When a body in equilibrium undergoes an infinitely small displacement, work imagined to be done, is known as

Imaginary work
Negative work
Virtual work
None of these

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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

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

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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)
y = ω √(y - r)
v = ω √(r² + y²)

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Applied Mechanics and Graphic Statics
A ball moving with a velocity of 5 m/sec impinges a fixed plane at an angle of 45° and its direction after impact is equally inclined to the line of impact. If the coefficient of restitution is 0.5, the velocity of the ball after impact will be

2.5 m/sec
0.5 m/sec
3.5 m/sec
1.5 m/sec

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Applied Mechanics and Graphic Statics
According to Kennedy's theorem, if three bodies have plane motions, their instantaneous centers lie on

A straight line
Two straight lines
A triangle
A point

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Applied Mechanics and Graphic Statics
If the velocity of projection is 4 m/sec and the angle of projection is α°, the maximum height of the projectile from a horizontal plane, is

u² tan² α/2g
u² cos² α/2g
u² sin² α/2g
u² sin 2α/2g

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