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Theory of Machine

Theory of Machine
The locus of a point on a thread unwound from a cylinder will be

Involute
A straight line
A circle
Cycloidal

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Theory of Machine
When the relation between the controlling force (Fc) and radius of rotation (r) for a spring controlled governor is Fc = ar + b, then the governor will be

Isochronous
Unstable
Stable
None of these

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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)

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

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Theory of Machine
The length of a simple pendulum which gives the same frequency as the compound pendulum, is

(kG + l₁²)/ l₁
kG + l₁
kG² + l₁
(kG² + l₁²)/ l₁

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Theory of Machine
The Grubler's criterion for determining the degrees of freedom (n) of a mechanism having plane motion is (where l = Number of links, and j = Number of binary joints)

n = 4(l - 1) - 3j
n = 2(l - 1) - 2j
n = (l -1) - j
n = 3(l - 1) - 2j

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Theory of Machine
A mechanism consisting of four links is called a __________ mechanism.

Binary
Simple
Compound
None of these

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