Theory of Machine
Longitudinal vibrations are said to occur when the particles of a body moves

In a circle about its axis
None of these
Perpendicular to its axis
Parallel to its axis

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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)

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

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Theory of Machine
In elliptical trammels

Three pairs turning and one pair sliding
One pair turning and three pairs sliding
All four pairs are turning
Two pairs turning and two pairs sliding

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Theory of Machine
The inversion of a mechanism is

Turning its upside down
Obtained by fixing different links in a kinematic chain
Obtained by reversing the input and output motion
Changing of a higher pair to a lower pair

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