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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

32
12
25
16

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Theory of Machine
A combination of kinematic pairs, joined in such a way that the relative motion between the links is completely constrained, is called a

Inversion
Kinematic chain
Structure
Mechanism

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Theory of Machine
In a simple harmonic motion, the velocity vector with respect to displacement vector

Leads by 90°
Is in phase
Leads by 180°
Lags by 90°

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Theory of Machine
A spring controlled governor is said to be stable if the controlling force line when produced intersects the Y-axis

Above the origin
Below the origin
Any one of these
At the origin

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

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Theory of Machine
The acceleration of the reciprocating roller follower when it has contact with the straight flanks of the tangent cam, is given by

ω². (r₁ + r₂). (1 + cos² θ)
ω². (r₁ r₂). (1 - cos² θ)
ω². (r₁ - r₂). (1 - sin² θ)
ω². (r₁ + r₂). [(2 - cos² θ)/cos³ θ]

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