Theory of Machine
An involute pinion and gear are in mesh. If both have the same size of addendum, then there will be an interference between the

Tip of both gear and pinion
Tip of the gear tooth and flank of pinion
Flanks of both gear and pinion
Tip of the pinion and flank of gear

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Theory of Machine
The velocity of piston in a reciprocating steam engine is given by (where ω = Angular velocity of crank, r = Radius of crank pin circle, θ = Angle turned by crank from inner dead center, and n = Ratio of length of connecting rod to the radius of crank)

ωr [sin θ + (sin 2θ/n)]
ω²r [sin θ + (sin 2θ/n)]
ωr [cos θ + (cos 2θ/n)]
ω²r [cos θ + (cos 2θ/n)]

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