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

The friction force is independent of me area of contact.
All of these
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
The steering of a ship means

None of these
Turning of a complete ship in a curve towards right or left, while it moves forward
Rolling of a complete ship sideways
Movement of a complete ship up and down in vertical plane about transverse 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 [sin θ + (sin 2θ/n)]
ωr [sin θ + (sin 2θ/n)]
ωr [cos θ + (cos 2θ/n)]
ω²r [cos θ + (cos 2θ/n)]

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