Theory of Machine
In a circular arc cam with roller follower, the acceleration in any position of the lift will depend only upon

Radius of circular arc, cam speed, location of centre of circular arc and roller diameter
Total lift, centre of gravity of the cam and cam speed
Mass of cam follower linkage, spring stiffness and cam speed
Total lift, total angle of lift, minimum radius of cam and cam speed

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Theory of Machine
Two heavy rotating masses are connected by shafts of lengths l₁, l₂ and l₃ and the corresponding diameters are d₁, d₂ and d₃. This system is reduced to a torsionally equivalent system having uniform diameter d = d₁ of the shaft. The equivalent length of the shaft is

(l₁ + l₂ + l₃)/3
l₁ + l₂ + l₃
l = l₁ + l₂.(d₁/d₂)³ + l₂.(d₁/d₃)³
l = l₁ + l₂.(d₁/d₂)⁴ + l₃.(d₁/d₃)⁴

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Theory of Machine
In a single slider crank chain

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

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