Theory of Machine
Which of the following statement is correct as regard to the difference between a machine and a structure?

A machine transforms the available energy into some useful work, whereas in a structure no energy is transformed into useful work
The parts of a machine move relative to one another, whereas the members of a structure do not move relative to one another
All of these
The links of a machine may transmit both power and motion, whereas the members of a structure transmit forces only

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

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