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Theory of Machine

Theory of Machine
A slider crank chain consists of following numbers of turning and sliding pairs

4, 0
3, 1
1, 3
2, 2

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Theory of Machine
The Kutzbach criterion for determining the number of degrees of freedom (n) is (where l = number of links, j = number of joints and h = number of higher pairs)

n = 3(l - 1) - 3j - h
n = 3(l - 1) - 2j - h
n = 2(l - 1) - 2j - h
n = 2(l - 1) - 3j - h

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Theory of Machine
The pitching of a ship produces forces on the bearings which act __________ to the motion of the ship.

Vertically and perpendicular
Horizontally and perpendicular
Vertically and parallel
Horizontally and parallel

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Theory of Machine
In a reciprocating steam engine, when the crank has turned from inner dead centre through an angle θ, the angular velocity of the connecting rod is given by

ω sinθ/(n² - cos²θ)1/2
ω cosθ/(n² - cos²θ)1/2
ω cosθ/(n² - sin²θ)1/2
ω sinθ/(n² - sin²θ)1/2

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Theory of Machine
A circular bar moving in a round hole is an example of

Completely constrained motion
Incompletely constrained motion
Partially constrained motion
Successfully constrained motion

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Theory of Machine
The maximum or minimum value of the swaying couple is

± 2a (1 - c) m.ω².r
± c.m.ω².r
± a (1 - c) m.ω².r
± (a/√2) (1 - c) m.ω².r

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