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Theory of Machine

Theory of Machine
The type of gears used to connect two non parallel and non intersecting shafts is

Helical gear
Spur gear
Spiral gear
Bevel gear

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

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Theory of Machine
There are six gears A, B, C, D, E and F in a compound train. The numbers of teeth in the gears are 20, 60, 30, 80, 25 and 75 respectively. The ratio of angular speeds of the driven (F) to the driver (A) of the drive is

12
4/15
1/8
1/24

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Theory of Machine
The example of completely constrained motion is a

Motion of a shaft with collars at each end in a circular hole
All of these
Motion of a piston in the cylinder of a steam engine
Motion of a square bar in a square hole

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Theory of Machine
Rectilinear motion of piston is converted into rotary by

Slider crank
Cross head
Gudgeon pin
Connecting rod

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Theory of Machine
The natural frequency of free longitudinal vibrations is equal to (where m = Mass of the body, s = Stiffness of the body, and δ = Static deflection of the body)

0.4985/√δ
Any one of the listed here
1/2π × √(s/m)
1/2π × √(g/δ)

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