Theory of Machine
Efficiency of a screw jack is given by

tan (α - φ)/tanα
tanα/tan (α +φ)
tanα/tan (α - φ)
tan (α + φ)/tanα

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Theory of Machine
In a band and block brake, the ratio of tensions on tight side and slack side of the band is (where μ = Coefficient of friction between the blocks and the drum, θ = Semi-angle of each block subtending at the center of drum, and n = Number of blocks)

T₁/T₂ = μ. θ. n
T₁/T₂ = [(1 - μ tanθ)/(1 + μ tanθ)]n
T₁/T₂ = [(1 + μ tanθ)/(1 - μ tanθ)]n
T₁/T₂ = (μ θ)n

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Theory of Machine
In order to give the primary balance of the reciprocating parts of a multi-cylinder inline engines

The algebraic sum of the primary forces must be equal to zero
None of these
Both (A) and (B)
The algebraic sum of the couples about any point in the plane of the primary forces must be equal to zero

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Theory of Machine
The primary unbalanced force due to inertia of reciprocating parts in a reciprocating engine is given by (where m = Mass of reciprocating parts, ω = Angular speed of crank, r = Radius of crank, θ = Angle of inclination of crank with the line of stroke, and n = Ratio of the length of connecting rod to radius of crank)

m.ω².r sinθ
m.ω².r cosθ
m.ω².r (sin 2θ/n)
m.ω².r (cos 2θ/n)

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