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Theory of Machine

Theory of Machine
The periodic time is given by (where ω = Angular velocity of the particle in rad/s)

2π/ω
ω/2π
ω × 2π
π/ω

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

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

Remain unaffected
Decreases
First increases and then decreases
Increases

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Theory of Machine
A foot step bearing and rotor of a vertical turbine form examples of

Partially constrained motion
Successfully constrained motion
Completely constrained motion
Incompletely constrained motion

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Theory of Machine
Sense of tangential acceleration of a link

Is same as that of velocity
Is perpendicular to that of velocity
Is opposite to that of velocity
Could be either same or opposite to velocity

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Theory of Machine
The velocity of the reciprocating roller follower when it has contact with the straight flanks of the tangent cam, is given by (where ω = Angular velocity of the cam shaft)

ω (r₁ r₂) sinθ
ω (r₁ + r₂) cosθ cosec2θ
ω (r₁ + r₂) sinθ sec2θ
ω (r₁ r₂) cosθ

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