Theory of Machine
Two heavy rotating masses are connected by shafts of lengths l₁, l₂ and l₃ and the corresponding diameters are d₁, d₂ and d₃. This system is reduced to a torsionally equivalent system having uniform diameter d = d₁ of the shaft. The equivalent length of the shaft is

(l₁ + l₂ + l₃)/3
l = l₁ + l₂.(d₁/d₂)³ + l₂.(d₁/d₃)³
l = l₁ + l₂.(d₁/d₂)⁴ + l₃.(d₁/d₃)⁴
l₁ + l₂ + l₃

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Theory of Machine
The maximum fluctuation of speed is the

Sum of maximum and minimum speeds
Difference of minimum fluctuation of speed and the mean speed
Variations of speed above and below the mean resisting torque line
Difference of the maximum and minimum speeds

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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?

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

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