At an airport, luggage from a plane into the three cars of a luggage carrier, as

Question

At an airport, luggage from a plane into the three cars of a luggage carrier, as the drawing shows. The acceleration of the carrier is 0.21 m/s^2, and friction is negligible. The coupling bars have negligible mass. (a) By how much would the tension in each of the coupling bars a. A, B. and C change if 34 kg of luggage were removed from car 3 and placed in car 2? If the tension changes, specify whether it increases or decreases. (Specify a decrease in tension with a negative value and an increase in tension with a positive value. If there is no change, enter 0.) delta T_A = N delta T_B = N delta T_C = N(b) (b) By how much would the tension in each of the coupling bars A, B, and C change if 34 kg of luggage were removed from car 2 and placed in car 1? If the tension changes, specify whether it increases or decreases. (Specify a decrease in tension with a negative value end an increase in tension with a positive value. If there is no change, enter 0) delta T_A = N delta T_B = N delta T_C = N

Explanation / Answer

(a)

If 34 kg of luggage were removed from car 3 and placed in car 2,

tension in A is pulling all three cars and the total mass of all three.

so, TA would not change.

B is pulling cars 2 and 3.

total mass of car 2 and car 3 is not changed,

so, TB would not change.

C is only pulling car 3.

F = m*a = 34*0.21 = 7.14 N

TC is decreased by 7.14 N

(b)

If 34 kg of luggage were removed from car 2 and placed in car 1,

tension in A is pulling all three cars and the total mass of all three.

so, TA would not change.

B is pulling cars 2 and 3.

F = 34*0.21 = 7.14 N

tension TB is decreased by 7.14 N.

C is pulling only car 3.

so, TC would not change.

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