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Centroid
Intersection of all hyperplanes that divide an object into two parts of equal moment
Centroid of triangle
Intersection of medians from each vertex to midpoint of opposite side
Centroid formula
(x₁+x₂+x₃)/3 , (y₁+y₂+y₃)/3
Centroid of circle
Center of the circle, also called the radius from the edges
Centroid of combined shape
Sum of individual centroids × areas divided by total area
Center of Gravity
Average location of the weight of an object
Aircraft rotation point
Center of Gravity
Weight distribution
Throughout the airplane
Importance of C.G. in design
Critical for tracking weight and balance
C.G. calculation
Sum of moments divided by total weight
Moment
Weight × location from origin
C.G. envelope
Graph showing how center of gravity varies with gross weight
Approved loading condition
Any weight and C.G. within the envelope
Center of Pressure
Point where aerodynamic pressure acts as a single force vector with no moment; Lift action point
C.G. limits
Specified longitudinally and/or laterally
Forward C.G.
Nose heavy, nose drops when controls are released
Forward C.G. limit
Based on landing characteristics
Forward C.G. risks
Excessive nosewheel loads, nose over, decreased performance, higher stall speeds, higher control forces
Forward C.G. effects
Stable feel, longer takeoff, increased drag, high stall speed due to high AoA
Aft C.G.
Tail heavy, nose rises when controls are released
Aft C.G. limit
Most rearward position for critical maneuvers
Aft C.G. risks
Decreased stability, harder stall/spin recovery, heavy tail needs nose down-force
Aft C.G. effects
Decreased drag, higher airspeed, lower AoA, decreased stability, lift/drag performance impact
Landing gear
Undercarriage of an aircraft used for taxiing, takeoff, and landing; Supports aircraft weight when in contact with land or water; Provides structural support, maneuverability, and absorbs landing loads
Landing gear types
Conventional, Tricycle, Tandem
Conventional gear
Main wheels ahead of center of gravity, small tail wheel
Tricycle gear
Main gear behind center of gravity, nose supported by nose gear
Tandem gear
Two wheel assemblies on centerline, one behind the other
Landing gear choice reasons
Comfortable cockpit access, better forward vision, eliminates ground loop, better braking, reduced takeoff distance, reduced tail damage
7 inches
Propeller ground clearance (nose wheel)
9 inches
Propeller ground clearance (tail wheel)
Wheel track
Distance between outer wheels of main gear
Wheel base
Distance between nose wheel center and line joining main gear centers
Shock absorber
Absorbs and dampens impact energy during landing or taxiing
Landing gear strut types
Rigid Struts, Spring Steel Struts, Bungee Cords, Shock Struts
Rigid struts
Wheels welded to airframe, transfers shock directly
Spring steel struts
Flexible steel/aluminum/composites, flex upward to absorb impact; Simple, lightweight, low maintenance
Bungee cords
Elastic cords on tailwheel/backcountry aircraft, gentle impact transfer
Shock struts
Use nitrogen and hydraulic fluid to absorb landing shock
Shock strut
Two telescoping cylinders, top attached to aircraft, bottom to gear
drag curve or drag polar
relationship between the drag on an aircraft and variables such as lift, coefficient of lift, angle-of-attack, or speed.
polar plot
Drag polar displayed as a graph
Level Flight
means flying at a constant altitude.
Clean Airplane
A configuration where all flight control surfaces set for minimum drag (flaps and gear retracted).
Dirty Airplane
A configuration where landing gear, flaps, and other devices are extended.
Creates drag, but flaps and devices increase lift at lower airspeeds.
Power Required at Minimum Drag
occurs at the speed where parasite drag and induced drag curves intersect.