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 of the piston P is zero and its velocity is maximum
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

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Theory of Machine
The secondary unbalanced force due to inertia of reciprocating parts in a reciprocating engine is given by (where m = Mass of reciprocating parts, ω = Angular speed of crank, r = Radius of crank, θ = Angle of inclination of crank with the line of stroke, and n = Ratio of the length of connecting rod to radius of crank)

m.ω².r (cos 2θ/n)
m.ω².r cosθ
m.ω².r (sin 2θ/n)
m.ω².r sinθ

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Theory of Machine
In a cam drive with uniform velocity follower, the sharp corners of the displacement diagram are rounded off at the beginning and at the end of each stroke. This is done

Because of loose contact of follower with cam surface
Because the uniform velocity motion is a partial parabolic motion
Because of difficulty in manufacturing cam profile
In order to have acceleration in beginning and retardation at the end of stroke within the finite limits

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Theory of Machine
Pitch point on a cam is

The point on cam pitch curve having the minimum pressure angle
Any point on pitch circle
Any point on pitch curve
The point on cam pitch curve having the maximum pressure angle

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