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031 Mass & Balance

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The load sheet of a light aircraft shows that the TOM is 4400 Ib and the CG is located 95 in. aft of the 

datum.

Calculate the mass of bags that needs to be moved from the rear cargo compartment (located 178 in.

aft of the datum), to the forward cargo compartment (22 in. aft of the datum), in order to re-position 

the take-off CG to 93 in. aft of the datum.

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Refer to figure…

At a given take-off mass of a transport aeroplane, 13% MAC corresponds to a balance arm of 32.25 m aft of the datum. Using the information in the annex, calculate the length of the MAC of this aeroplane:

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During the pre-flight, the pilot assumed that the only passenger weighing 170 Ib would sit at the 

front-row seat (located 85 inches aft of datum). The calculations gave a Take-Off Mass of 4100 Ib 

and a take-off CG located at 94 inches aft of datum.

When the passenger arrives, he/she sits at the rear seat, located 158 inches aft of datum. The CG 

limits are from 86 inches to 95 inches aft of datum. Determine if the new CG within limits:

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Refer to figure.

Using the annex, determine the maximum allowable mass and running load of the middle compartment of the forward cargo hold.

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Determine the mass that must be moved aft by a distance of 2.9 m, in order to establish a CG at 2.9 m 

aft of the datum. Given

Current CG position: 2.8 m aft of the datum

Actual Take-off Mass: 6 603 kg

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Refer to figure.

Using the annex, determine the CG position and the moment at Basic Empty Mass. The CG position is…..

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Calculate the centre of gravity location for the take-off mass, given:

BEM: 2 635 Ib

BEM moment: 204 793.5 in.Ib

Mass on front seat: 90 Ib

Arm on front seat: 78 in

Mass on aft seat: 186 Ib

Arm on aft seat: 117 in

Block fuel: 850 Ib

Taxi fuel: 85 Ib

Fuel arm: 86 in

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An aeroplane should have been loaded so as to give a TOM of 57 600 kg and a CG located 646 inches 

aft of datum (CG limits are from 640 inches to 661 inches aft of datum). However, the ground crew 

incorrectly loaded 900 kg of baggage into the rear cargo hold instead of the front.

If the distance between the front cargo hold and the rear cargo hold is 517 inches, is the new CG still 

within limits?

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A twin-engine aeroplane has an actual mass of 6 063 kg. Its CG is located at 2.7 m aft of the datum.

How much mass must be transferred from a cargo compartment 1.2 m aft of the datum to 

compartment 4.1 m aft of the datum to establish a CG 2.8 aft of the datum?

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A loaded aircraft has its centre of gravity (CG) 35 inches aft of the datum, and its mass is 4 500 Ib. A last minute load of 334 Ib is placed on board 20 inches forward of the datum.

Determine the new position of the CG

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