Theory of Machine
A disturbing mass m₁ attached to the rotating shaft may be balanced by a single mass m₂ attached in the same plane of rotation as that of m₁, such that (where r₁ and r₂ are the radii of rotation of m₁ and m₂ respectively)

m₁ r₂ = m₂ r₁
m₁ r₁ = m₂ r₂
None of these
m₁ m₂ = r₁ r₂

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Theory of Machine
In a mechanism, the fixed instantaneous centers are those centers which

Vary with the configuration of the mechanism
Moves as the mechanism moves, but joints are of permanent nature
Remain in the same place for all configurations of the mechanism
None of the listed here

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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, if N coincides with O, then

Acceleration and velocity of the piston P is zero
Acceleration of the piston P is maximum and its velocity is zero
Acceleration and velocity of the piston P is maximum
Acceleration of the piston P is zero and its velocity is maximum

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