Theory of Machine
Which of the following property of the instantaneous center is correct?

The two rigid links have no linear velocity relative to each other at the instantaneous centre.
The velocity of the instantaneous centre relative to any third rigid link is same whether the instantaneous centre is regarded as a point on the first rigid link or on the second rigid link.
A rigid link rotates instantaneously relative to another link at the instantaneous centre for the configuration of the mechanism considered.
All of these

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Theory of Machine
A body in motion will be subjected to Coriolis acceleration when that body is

Restrained to rotate while sliding over another body
In plane translation with variable velocity
In plane rotation with variable velocity
In plane motion which is a resultant of plane translation and rotation

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

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