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Theory of Machine

Theory of Machine
In a coupling rod of a locomotive, each of the four pairs is a ________ pair.

Screw
Turning
Sliding
Rolling

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Theory of Machine
The balancing of a rigid rotor can be achieved by appropriately placing balancing masses in

Three planes
Two planes
Four planes
A single plane

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Theory of Machine
The engine of an aeroplane rotates in clockwise direction when seen from the tail end and the aeroplane takes a turn to the left. The effect of gyroscopic couple on the aeroplane will be

To dip the nose and tail
To raise the nose and tail
To dip the nose and raise the tail
To raise the nose and dip the tail

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Theory of Machine
The natural frequency of free torsional vibrations of a shaft is equal to (where q = Torsional stiffness of the shaft, and I = Mass moment of inertia of the disc attached at the end of a shaft)

2π. √(q/I)
1/2π
(1/2π). √(q/I)
2π qI

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Theory of Machine
The example of rolling pair is

Bolt and nut
Lead screw of a lathe
Ball bearing and roller bearing
Ball and socket joint

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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) 2r
ω₁.ω₂.r
(ω₁ + ω₂) r
(ω₁ - ω₂) r

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