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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

D₂/D₁
D₁.D₂
D₁/D₂
D₁

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Theory of Machine
In a four-bar chain it is required to give an oscillatory motion to the follower for a continuous rotation of the crank. For the lengths of 50 mm of crank and 70 mm of the follower, determine theoretical maximum length of coupler. The distance between fixed pivots of crank and followers is

95 mm
45 mm
Slightly more than 95 mm
Slightly less than 95 mm

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

Four planes
A single plane
Two planes
Three planes

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Theory of Machine
Typewriter constitutes

Machine
Inversion
Structure
Mechanism

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Theory of Machine
The fundamental equation for correct steering is (where φ and α = Angle through which the axis of the outer wheel and inner wheel turns respectively, c = Distance between the pivots of the front axles, and d = Wheel base)

sinφ + sinα = b/c
cosφ - sinα = c/b
cotφ - cotα = c/b
tanφ + cotα = b/c

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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)2r
ω₁.ω₂.r
(ω₁ + ω₂)r
(ω₁ - ω₂)r

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