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Theory of Machine

Theory of Machine
Rectilinear motion of piston is converted into rotary by

Cross head
Connecting rod
Gudgeon pin
Slider crank

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

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Theory of Machine
Cam size depends upon

Outer circle
Base circle
Pitch circle
Prime circle

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Theory of Machine
The magnitude of linear velocity of a point B on a link AB relative to point A is, (Where ω = Angular velocity of the link AB)

ω × (AB)²
(ω × AB)²
ω² × AB
ω × AB

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Theory of Machine
In a reciprocating steam engine, when the crank has turned from inner dead centre through an angle θ, the angular velocity of the connecting rod is given by

ω sinθ/(n² - cos²θ)1/2
ω cosθ/(n² - sin²θ)1/2
ω cosθ/(n² - cos²θ)1/2
ω sinθ/(n² - sin²θ)1/2

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Theory of Machine
Which of the following mechanisms produces mathematically an exact straight line motion?

Watt mechanism
Grasshopper mechanism
Peaucellier's mechanism
Tchebicheff mechanism

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