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Theory of Machine

Theory of Machine
Ackermann steering gear consists of

Turning pairs
Sliding pairs
Higher pairs
Rolling pairs

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Theory of Machine
The velocity of sliding of meshing gear teeth is(Where ω₁ and ω₂ are angular velocities of meshing gears and ‘y’ is distance between point of contact and the pitch point)

(ω₁ × ω₂) y
(ω₁ + ω₂)/y
(ω₁/ω₂) y
(ω₁ + ω₂) y

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Theory of Machine
A body of weight W is required to move up the rough inclined plane whose angle of inclination with the horizontal is α. The effort applied parallel to the plane is given by (where μ = tan φ = Coefficient of friction between the plane and the body)

P = W tan (α + φ)
P = W (sin α + μ cos α)
P = W (cos α + μ sin α)
P = W tan α

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Theory of Machine
The Coriolis component of acceleration leads the sliding velocity by

45°
90°
180°
135°

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Theory of Machine
In Meyer's expansion valve, the main valve is driven by an eccentric having an angle of advance from

25°-30°
15°-25°
30°-40°
10°-15°

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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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