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 clockwise direction, then the rubbing velocity at the pin joint O is (where r = Radius of the pin at O)

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

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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.

Any -ve value
Any +ve value
Infinity
Zero

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Theory of Machine
Which of the following is false statement in respect of differences between machine and structure?

In machines, relative motion exists between its members, whereas same does not exist in case of structures
Efficiency of machines as well as structures is below 100 %
Machines modify movement and work, whereas structures modify forces
Machines transmit mechanical work, whereas structures transmit forces

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