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Theory of Machine

Theory of Machine
The total number of instantaneous centers for a mechanism consisting of n links are

n(n - 1)/2
n/2
n
n - 1

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Theory of Machine
A spring controlled governor is said to be unstable when the controlling force

Remains constant for all radii of rotation
Decreases as the radius of rotation increases
Increases as the radius of rotation decreases
Increases as the radius of rotation increases

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

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

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

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Theory of Machine
A point on a connecting link (excluding end points) of a double slider crank mechanism traces a

Elliptical path
Parabolic path
Straight line path
Hyperbolic path

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Theory of Machine
In a gear having involute teeth, the normal to the involute is a tangent to the

Base circle
Pitch circle
Dedendum circle
Addendum circle

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