Theory of Machine
The two links OA and OB are connected by a pin joint at O. If the link OA turns with angular velocity ω₁ rad/s in the clockwise direction and the link OB turns with angular velocity ω₂ rad/s in the anticlockwise direction, then the rubbing velocity at the pin joint O is (where r = Radius of the pin at O)

(ω₁ - ω₂) r
ω₁.ω₂.r
(ω₁ + ω₂) r
(ω₁ - ω₂) 2r

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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, the acceleration of the piston is _________ when the crank OC and connecting rod PC are at right angles to each other.

Infinity
Any -ve value
Zero
Any +ve value

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Theory of Machine
For dynamic balancing of a shaft

The net dynamic force acting on the shaft is equal to zero
The net couple due to the dynamic forces acting on the shaft is equal to zero
None of these
Both (A) and (B)

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Theory of Machine
Hammer blow

Varies inversely with the square of the speed
Is the maximum horizontal unbalanced force caused by the mass provided to balance the reciprocating masses.
Varies as the square root of the speed
Is the maximum vertical unbalanced force caused by the mass added to balance the reciprocating masses

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