31-05. DETERMINATION OF CG POSITION
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1. Given that the Total Mass of an aeroplane is 112.000 kg with a centre of gravity position at 22,62 m aft of the datum. The centre of gravity limits are between 18 m and 22 m. How much mass must be removed from the rear hold (30 m aft of the datum) to move the centre of gravity to the middle of the limits:
2. A turbojet aeroplane is parked with the following data:
Corrected Dry Operating Mass: 110.100 kg, Basic corrected index: 118,6
Takeoff Mass: 200.000 kg, Centre of gravity location: 32% MAC
Distance from reference point to leading edge: 14 m, Length of MAC: 4,6 m
Initial cargo distribution:
Cargo 1: 4.000 kg (2,73 m from reference point), Cargo 2: 2.000 kg (8,55 m from reference point)
Cargo 3: 2.000 kg (16.49 m from reference point), Cargo 4: empty (21,13 m from reference point)
For performance reasons, the captain decides to redistribute part of the cargo loading between cargo compartments, in order to takeoff with a new CG location of 34%. He asks for a transfer of:
.
3. Given:
Total Mass: 2.900 kg
Centre of gravity (CG) location station: 115,0
Aft CG limit station: 116,0
The maximum mass that can be added at station 130,0 is:
4. A turbojet aeroplane has a planned Takeoff Mass of 190.000 kg. Following cargo loading, the crew is informed that the centre of gravity at takeoff is located at 38% MAC (Mean Aerodynamic Cord) which is beyond limits. The captain decides then to redistribute part of the cargo load between cargo 1 (3,5 m from reference point) and cargo 4 (20,39 m from reference point) in order to obtain a new centre of gravity location at 31% MAC.
Given:
Distance from reference point to leading edge: 14 m, Length of MAC: 4,6 m
Captain asks for a transfer of:
.
5. Length of the Mean Aerodynamic Chord: 1 m
Moment Arm of the forward cargo: -0,50 m
Moment Arm of the aft cargo: +2,50 m
The aircraft mass is 2.200 kg and its centre of gravity is at 25% MAC
To move the centre of gravity to 40%, which mass has to be transferred from the forward to the aft cargo hold?
