Theory of Machine
For a kinematic chain to be considered as mechanism

Two links should be fixed
One link should be fixed
There is no such criterion
None of the links should be fixed

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Theory of Machine
Which is the false statement about the properties of instantaneous center?

The two rigid links have no linear velocities relative to each other at the instantaneous center
The double center can be denoted either by O2 or O12, but proper selection should be made
At the instantaneous center of rotation, one rigid link rotates instantaneously relative to another for the configuration of mechanism considered
The two rigid links which have no linear velocity relative to each other at this center have the same linear velocity to the third rigid link

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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

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

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