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Theory of Machine

Theory of Machine
A pantograph is a mechanism with

Turning pairs
Higher pairs
Rolling pairs
Lower pairs

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Theory of Machine
The fundamental equation for correct steering is (where φ and α = Angle through which the axis of the outer wheel and inner wheel turns respectively, c = Distance between the pivots of the front axles, and d = Wheel base)

sinφ + sinα = b/c
tanφ + cotα = b/c
cotφ - cotα = c/b
cosφ - sinα = c/b

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Theory of Machine
In an open pair, the two elements of a pair

Have a line or point contact when in motion
Have a surface contact when in motion
Are not held together mechanically
Are kept in contact by the action of external forces, when in motion

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Theory of Machine
A spring controlled governor is said to be stable if the controlling force line when produced intersects the Y-axis

Below the origin
Any one of these
At the origin
Above the origin

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Theory of Machine
The relative velocity of B with respect to A in a rigid link AB is

Parallel to AB
Perpendicular to AB
At 45° to AB
Along AB

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Theory of Machine
Module of a gear is

2D/T
D/T
T/D
2T/D

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