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

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Theory of Machine
The inversion of a mechanism is

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

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Theory of Machine
A thin circular disc is rolling with a uniform linear speed, along a straight path on a plane surface. Which of the following statement is correct in this regard?

The centre of the disc has centrifugal acceleration
All points of the disc have the same velocity
The centre of the disc has zero acceleration
The point on the disc making contact with the plane surface has zero acceleration

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