Theory of Machine
Which of the following statements regarding laws governing the friction between dry surfaces are correct?

All of these
The friction force is independent of me area of contact.
The friction force is dependent on the materials of the contact surfaces.
The friction force is directly proportional to the normal force.

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Theory of Machine
In elliptical trammels

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

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

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