Theory of Machine
The displacement of a flat faced follower when it has contact with the flank of a circular arc cam, is given by (where R = Radius of flank, r₁ = Minimum radius of the cam, and θ = Angle turned through by the cam)

(R - r₁) (1 - sinθ)
(R - r₁) (1 - cosθ)
R (1 - sinθ)
R (1 - cosθ)

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Theory of Machine
Crowning on pulleys helps

In increasing velocity ratio
Increase belt and pulley life
In decreasing the slip of the belt
For automatic adjustment of belt position so that belt runs centrally

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Theory of Machine
Sensitiveness of the governor is defined as the ratio of the

Mean speed to the maximum equilibrium speed
Difference of the maximum and minimum equilibrium speeds to the mean speed
Sum of the maximum and minimum equilibrium speeds to the mean speed
Mean speed to the minimum equilibrium speed

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

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

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