Theory of Machine
The advantage of the piston valve over the slide valve is that in the former case

The pressure developed being high provides tight sealing
Wear is less
Power absorbed is less
Both wear and power absorbed are low

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Theory of Machine
The secondary 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 (cos 2θ/n)
m.ω².r sinθ
m.ω².r cosθ
m.ω².r (sin 2θ/n)

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Theory of Machine
In a four bar chain or quadric cycle chain

Each of the four pairs is a turning pair
Two are turning pairs and two are sliding pairs
One is a turning pair and three are sliding pairs
Three are turning pairs and one is a sliding pair

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