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Theory of Machine

Theory of Machine
In full depth involute system, the smallest number of teeth in a pinion which meshes with rack without interference is

25
32
16
12

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Theory of Machine
Kinematic pairs are those which have two elements that

Have line contact
Permit relative motion
Have surface contact
Are held together

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Theory of Machine
Elements of pairs held together mechanically is known as

Mechanical pair
Open pair
Rolling pair
Closed pair

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

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

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Theory of Machine
An exact straight line motion mechanism is a

Peaucellier's mechanism
Scott-Russell's mechanism
Hart's mechanism
All of these

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