Theory of Machine
The example of spherical pair is

Lead screw of a lathe
Ball and socket joint
Ball bearing and roller bearing
Bolt and nut

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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 secondary unbalanced force due to inertia of reciprocating parts in a reciprocating engine is given by (where m = Mass of reciprocating parts, ω = Angular speed of crank, r = Radius of crank, θ = Angle of inclination of crank with the line of stroke, and n = Ratio of the length of connecting rod to radius of crank)

m.ω².r (sin 2θ/n)
m.ω².r cosθ
m.ω².r sinθ
m.ω².r (cos 2θ/n)

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