Answer (A) is correct. (PHAK Chap 10)

DISCUSSION: To compute the amount of weight left for baggage, compute each individual moment by using the loading graph and add them up. First, compute the moment for the pilot and front seat passenger with a weight of 250 pounds. Refer to the loading graph and the vertical scale at the left side and find the value of 250. From this position, move to the right horizontally across the graph until you intersect the diagonal line that represents pilot and front passenger. From this point, move vertically down to the bottom scale, which indicates a moment of about 9.2.

To compute rear passenger moment, measure up the vertical scale of the loading graph to a value of 400, horizontally across to intersect the rear passenger diagonal line, and down vertically to the moment scale, which indicates approximately 29.0.

To compute the moment of the fuel, you must recall that fuel weighs 6 lb. per gallon. The question gives 30 gal., for a total fuel weight of 180 pounds. Now move up the weight scale on the loading graph to 180, then horizontally across to intersect the diagonal line that represents fuel, then vertically down to the moment scale, which indicates approximately 8.7.

To get the weight of the oil, see Note 2 at the bottom of the loading graph section of Fig. 34. It gives 15 lb. as the weight with a moment of –0.2.

Now total the weights (2,195 lb. including 15 lb. of engine oil). Also total the moments (98.2 including engine oil with a negative 0.2 moment).

With this information, refer to the center of gravity moment envelope chart. Note that the maximum weight in the envelope is 2,300 pounds. The amount of 2,300 lb. – 2,195 lb. already totaled leaves a maximum possible 105 lb. for baggage. However,

you must be sure 105 lb. of baggage does not exceed the

109 moments allowed at the top of the envelope. On the loading graph, 105 lb. of baggage indicates approximately 10 moments. Thus, a total of 108.2 moments (98.2 + 10) is within the

109 moments allowed on the envelope for 2,300 lb. of weight.

Therefore, baggage of 105 lb. can be loaded.

Weight Moment/1000

Empty weight lb.-in.

1,350 51.5

Pilot and front seat passenger 250 9.2

Rear passengers 400 29.0

Baggage ? ?

Fuel (30 gal. × 6 lb./gal.) 180 8.7

Oil 15 –0.2

2,195 98.2

(without baggage)