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Engineering Mechanics

Engineering Mechanics
The maximum mechanical advantage of a lifting machine is

1 - m
1 / m
m
1 + m

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Engineering Mechanics
In a screw jack, the effort required to lift the load is given by (where W = Load lifted, α = Helix angle, and φ = Angle of friction.)

P = W tan (φ - α)
P = W tan (α + φ)
P = W tan (α - φ)
P = W cos (α + φ)

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Engineering Mechanics
In a single threaded worm and worm wheel, the number of teeth on the worm is 50. The diameter of the effort wheel is 100 mm and that of load drum is 50 mm. The velocity ratio is

400
50
100
200

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

ωr
ω2r
ω
ω/r

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Engineering Mechanics
The unit of angular acceleration is

N-m
rad/s2
m/s2
m/s

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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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