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Theory of Machine

Theory of Machine
If ‘D₁’ and ‘D₂’ be the diameters of driver and driven pulleys, then belt speed is proportional to

D₁
D₁.D₂
D₁/D₂
D₂/D₁

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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
An exact straight line motion mechanism is a

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

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Theory of Machine
The driving and driven shafts connected by a Hooke's joint will have equal speeds, if

cosθ = sinα
tanθ = ± cosα
sinθ = ± tanα
cotθ = cosα

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Theory of Machine
The mechanism consisting of three turning pairs and one sliding pair, is called a

Whitworth quick return motion mechanism
Crank and slotted lever quick return motion mechanism
All of these
Single slider crank chain

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Theory of Machine
A shaft carrying three rotors will have

Two nodes
One node
No node
Three nodes

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