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Theory of Machine

Theory of Machine
The number of links in pantograph mechanism is equal to

4
3
2
5

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

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

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Theory of Machine
A Hartnell governor is a

Spring loaded governor
Dead weight governor
Inertia governor
Pendulum type governor

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Theory of Machine
The velocity of sliding of meshing gear teeth is(Where ω₁ and ω₂ are angular velocities of meshing gears and ‘y’ is distance between point of contact and the pitch point)

(ω₁/ω₂) y
(ω₁ + ω₂) y
(ω₁ + ω₂)/y
(ω₁ × ω₂) y

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Theory of Machine
A shaft has an attached disc at the centre of its length. The disc has its centre of gravity located at a distance of 2 mm from the axis of the shaft. When the shaft is allowed to vibrate in its natural bow-shaped mode, it has a frequency of vibration of 10 rad/s. When the shaft is rotated at 300 r.p.m., it will whirl with a radius of

2.22 mm
2 mm
2.50 mm
3.0 mm

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Theory of Machine
In a ball bearing, ball and bearing forms a

Spherical pair
Screw pair
Rolling pair
Turning pair

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