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Theory of Machine

Theory of Machine
A rigid body possesses ________degrees of freedom

One
Two
Six
Four

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Theory of Machine
The natural frequency of free transverse vibrations due to a point load acting over a simply supported shaft is equal to (where δ = Static deflection of a simply supported shaft due to the point load)

0.6253/√δ
0.5615/√δ
0.4985/√δ
0.571/√δ

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Theory of Machine
To obviate axial thrust, following gear drive is used

Single helical gear in which one of the teeth of helix angle a is more
Mutter gears
Double helical gears having identical teeth
Double helical gears having opposite teeth

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Theory of Machine
The height of a Watt's governor (in meters) is equal to (where N = Speed of the arm and ball about the spindle axis)

89.5/N²
8950/N²
895/N²
8.95/N²

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Theory of Machine
In a Hartnell governor, the stiffness of the spring is given by (where S1 and S2 = Spring forces exerted on the sleeve at max. and min. radii of rotation, and h = Compression of the spring)

(S₁ + S₂) / 2h
(S₁ - S₂) / h
(S₁ - S₂) / 2h
(S₁ + S₂) / h

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Theory of Machine
________ is an inversion of Double slider crank chain.

Hand pump
Reciprocating engine
Coupling rod of a locomotive
Scotch yoke mechanism

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