Theory of Machine
The inversion of a mechanism is

Changing of a higher pair to a lower pair
Obtained by fixing different links in a kinematic chain
Obtained by reversing the input and output motion
Turning its upside down

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

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

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

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