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Theory of Machine

Theory of Machine
The size of cam depends upon

Prime circle
Base circle
Pitch circle
Pitch curve

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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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Theory of Machine
For fluctuating loads, well suited bearing is

Ball bearing
Needle roller bearing
Thrust bearing
Roller bearing

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Theory of Machine
In a flat collar pivot bearing, the moment due to friction is proportional to

(r₁² - r₂²)/(r₁ + r₂)
(r₁³ - r₂³)/(r₁ - r₂)
(r₁³ - r₂³)/(r₁² - r₂²)
(r₁² - r₂²)/(r₁ - r₂)

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Theory of Machine
In an open pair, the two elements of a pair

Are kept in contact by the action of external forces, when in motion
Have a line or point contact when in motion
Have a surface contact when in motion
Are not held together mechanically

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Theory of Machine
When the crank is at the inner dead center, in a reciprocating steam engine, then the acceleration of the piston will be

ω²r. n/(n + 1)
ω²r. (n - 1)/n
ω²r. (n + 1)/n
ω²r. n/(n - 1)

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