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Theory of Machine

Theory of Machine
A slider crank chain consists of following numbers of turning and sliding pairs

3, 1
2, 2
4, 0
1, 3

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Theory of Machine
The maximum efficiency of spiral gears is (where θ = Shaft angle, and φ = Friction angle)

cos (θ + φ) + 1/ cos (θ - φ) + 1
cos (θ - φ) + 1/ cos (θ + φ) + 1
cos (θ - φ) + 1/ sin (θ + φ) + 1
sin (θ + φ) + 1/ cos (θ - φ) + 1

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Theory of Machine
When the sleeve of a Porter governor moves upwards, the governor speed

Remain unaffected
Increases
First increases and then decreases
Decreases

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Theory of Machine
When the addenda on pinion and wheel is such that the path of approach and path of recess are half of their maximum possible values, then the length of the path of contact is given by (where r = Pitch circle radius of pinion, R = Pitch circle radius of wheel, and φ = Pressure angle)

[(r + R) cosφ]/2
[(r² + R²) cosφ]/2
[(r + R) sinφ]/2
[(r² + R²) sinφ]/2

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Theory of Machine
Which type of gearing is used in steering system of an automobile?

None of the listed here
Spiral gears
Rack and pinion
Worm and wheel

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

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

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