Theory of Machine
In the below figure, PC is the connecting rod and OC is the crank making an angle θ with the line of stroke PO and rotates with uniform angular velocity at ω rad/s. The Klien's acceleration diagram for determining the acceleration of the piston P is shown by quadrilateral CQNO. The acceleration of the piston P with respect to the crank-pin C is given by

ω² × CN
ω² × QN
ω² × CO
ω² × NO

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Theory of Machine
For an isochronous Hartnell governor (where r₁ and r₂ = Maximum and minimum radius of rotation of balls respectively, S₁ and S₂ = Maximum and minimum force exerted on the sleeve respectively, and M = Mass on the sleeve)

S₂/S₁ = r₁/r₂
(m.g + S₁)/(m.g + S₂) = r₁/r₂
S₁/S₂ = r₁/r₂
(m.g - S₁)/(m.g - S₂) = r₂/r₁

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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 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
At the instantaneous center of rotation, one rigid link rotates instantaneously relative to another for the configuration of mechanism considered
The double center can be denoted either by O2 or O12, but proper selection should be made

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