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

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Theory of Machine
Cam angle is defined as the angle

Through which, the cam rotates during the period in which the follower remains in the highest position
Of rotation of the cam for a definite displacement of the follower
Moved by the cam from the instant the follower begins to rise, till it reaches its highest position
During which the follower returns to its initial position

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

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

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