Theory of Machine
The Klein's method of construction for reciprocating engine mechanism

Is a simplified form of instantaneous center method
Utilizes a quadrilateral similar to the diagram of mechanism for reciprocating engine
Enables determination of Cariole’s component
Is based on acceleration diagram

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Theory of Machine
Two heavy rotating masses are connected by shafts of lengths l₁, l₂ and l₃ and the corresponding diameters are d₁, d₂ and d₃. This system is reduced to a torsionally equivalent system having uniform diameter d = d₁ of the shaft. The equivalent length of the shaft is

(l₁ + l₂ + l₃)/3
l = l₁ + l₂.(d₁/d₂)⁴ + l₃.(d₁/d₃)⁴
l₁ + l₂ + l₃
l = l₁ + l₂.(d₁/d₂)³ + l₂.(d₁/d₃)³

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Theory of Machine
Crowning on pulleys helps

Increase belt and pulley life
In increasing velocity ratio
For automatic adjustment of belt position so that belt runs centrally
In decreasing the slip of the belt

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