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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
From the circular plate of a diameter 6 cm is cut out a circular plate whose diameter is equal to radius of the plate. The C.G. of the remainder shifts from the original position through

0.50 cm
0.25 cm
1.00 cm
0.75 cm

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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
The moment of inertia of a triangular section (base b, height h) about centroidal axis parallel to the base, is

bh³/3
b³h/12
bh³/2
bh³/36

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Applied Mechanics and Graphic Statics
The instantaneous centre of a member lies at the point of intersection of two lines drawn at the ends of the member such that the lines are inclined to the direction of motion of the ends at

90°
45°
30°
60°

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

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Applied Mechanics and Graphic Statics
Maximum efficiency of a screw jack for the angle of friction θ, is

(1 - sin θ)/sin θ
(1 + sin θ)/(1 - sin θ)
sin θ/(1 + sin θ)
(1 - sin θ)/(1 + sin θ)

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