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Engineering Mechanics

Engineering Mechanics
The moment of inertia of a thin rod of mass 'm' and length 'l', about an axis through its centre of gravity and perpendicular to its length is

ml2/4
ml2/12
ml2/ 6
ml2/8

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Engineering Mechanics
The velocity ratio of a single purchase crab winch can be increased by

Increasing the radius of the load drum
Increasing the length of the handle
Increasing the number of teeth of the pinion
All of these

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Engineering Mechanics
Three forces acting on a rigid body are represented in magnitude, direction and line of action by the three sides of a triangle taken in order. The forces are equivalent to a couple whose moment is equal to

Half the area of the triangle
None of these
Twice the area of the triangle
Area of the triangle

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Engineering Mechanics
If a number of forces are acting at a point, their resultant will be inclined at an angle 'θ' with the horizontal, such that

tanθ = ΣV/ΣH
tanθ = ΣV × ΣH
tanθ = √(ΣV + ΣH)
tanθ = ΣH/ΣV

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Engineering Mechanics
The center of gravity of a quadrant of a circle lies along its central radius (r) at a distance of

0.6 r
0.5 r
0.8 r
0.7 r

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Engineering Mechanics
The maximum velocity of a particle moving with simple harmonic motion is

ω
ω2r
ωr
ω/r

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