Theory of Machine
The Ackermann steering mechanism is preferred to the Davis type in automobiles because

The former is mathematically accurate
The former is most rigid
The former is most economical
The former is having turning pair

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

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