Theory of Machine
The condition for correct steering of a Davis steering gear is (where α = Angle of inclination of the links to the vertical)

tanα = c/2b
cotα = c/2b
cosα = c/b
sinα = b/c

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

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Theory of Machine
In gears, interference takes place when

Gear teeth are undercut
Gears do not move smoothly in the absence of lubrication
Pitch of the gears is not same
The tip of a tooth of a mating gear digs into the portion between base and root circles

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