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Engineering Mechanics

Engineering Mechanics
The center of gravity of a semi-circle lies at a distance of __________ from its base measured along the vertical radius.

3r/ 8
3r/4π
8r/3
4r/ 3π

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Engineering Mechanics
The centre of gravity of an isosceles triangle with base (p) and sides (q) from its base is

(p² + q²)/4
(4p² - q²)/6
[√(4p² - q²)]/6
(p² - q²)/4

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Engineering Mechanics
The law of the machine is (where P = Effort applied to lift the load, m = A constant which is equal to the slope of the line, W = Load lifted, and C = Another constant which represents the machine friction.)

P = mW - C
P = C - mW
P = m/W + C
P = mW + C

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Engineering Mechanics
The maximum mechanical advantage of a lifting machine is

1 + m
1 / m
m
1 - m

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Engineering Mechanics
The range of projectile will be maximum for a given velocity of projectile, when the angle of projection (α) is

45° + β/2
β/2
60° + β/2
30° + β/2

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Engineering Mechanics
The resultant of two equal forces ‘P’ making an angle ‘θ’, is given by

2P tanθ/2
2P cotθ/2
2P sinθ/2
2P cosθ/2

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