Theory of Machine
The velocity of a flat-faced follower when it has contact with the flank of a circular arc cam, is given by

ω(R - r₁) sinθ
ωr₁ sinθ
ω(R - r₁) cosθ
ωR cosθ

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

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

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
Vary with the configuration of the mechanism

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Theory of Machine
The inversion of a mechanism is

Obtained by fixing different links in a kinematic chain
Obtained by reversing the input and output motion
Changing of a higher pair to a lower pair
Turning its upside down

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