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Theory of Machine

Theory of Machine
The radial distance from the top of a tooth to the bottom of a tooth in a meshing gear, is called

Working depth
Addendum
Clearance
Dedendum

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Theory of Machine
A point B on a rigid link AB moves with respect to A with angular velocity ω rad/s. The radial component of the acceleration of B with respect to A, is (where vBA = Linear velocity of B with respect to A)

vBA × AB
v²BA
vBA /AB
v²BA /AB

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Theory of Machine
The example of spherical pair is

Lead screw of a lathe
Ball bearing and roller bearing
Bolt and nut
Ball and socket joint

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Theory of Machine
The mechanism forms a structure, when the number of degrees of freedom (n) is equal to

1
2
-1

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Theory of Machine
The number of links and instantaneous centers in a reciprocating engine mechanism are

4, 6
4, 4
5, 4
4, 5

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

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