Theory of Machine
A combination of kinematic pairs, joined in such a way that the relative motion between the links is completely constrained, is called a

Kinematic chain
Structure
Mechanism
Inversion

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Theory of Machine
Pitch point on a cam is

The point on cam pitch curve having the minimum pressure angle
Any point on pitch circle
Any point on pitch curve
The point on cam pitch curve having the maximum pressure angle

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Theory of Machine
The velocity of piston in a reciprocating steam engine is given by (where ω = Angular velocity of crank, r = Radius of crank pin circle, θ = Angle turned by crank from inner dead center, and n = Ratio of length of connecting rod to the radius of crank)

ωr [cos θ + (cos 2θ/n)]
ωr [sin θ + (sin 2θ/n)]
ω²r [sin θ + (sin 2θ/n)]
ω²r [cos θ + (cos 2θ/n)]

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