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Theory of Machine

Theory of Machine
In full depth involute system, the smallest number of teeth in a pinion which meshes with rack without interference is

32
12
25
16

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Theory of Machine
In a screw jack, the effort required to lower the load W is given by

P = W cos(α + φ)
P = W tan(α - φ)
P = W tan(α + φ)
P = W tan(φ - α)

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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)

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

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Theory of Machine
In a kinematic chain, a quaternary joint is equivalent to

Four binary joints
Three binary joints
One binary joint
Two binary joints

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Theory of Machine
The frictional torque transmitted in a conical pivot bearing, considering uniform wear, is

(2/3) μ W R cosecα
(1/2) μ W R cosecα
(3/4) μ W R cosecα
μ W R cosecα

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Theory of Machine
With single Hooke's joint it is possible to connect two shafts, the axes of which have an angular misalignment up to

20°
40°
30°
10°

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