At an airport, luggage is unloaded from a plane into the three cars of a luggage

Question

At an airport, luggage is unloaded from a plane into the three cars of a luggage carrier, as the drawing shows. The acceleration of the carrier is 0.165 m/s2, and friction is negligible. The coupling bars have negligible mass If 36.6 kg of luggage were removed from car 2 and placed in car 1, by how much would the tension change in coupling bars (a) A, (b) B, and (c) C? If instead 36.6 kg of luggage were removed from car 2 and placed in car 3, by how much would the tension change in coupling bars (d) A, (e) B, and (f) C? In each case, give your answer as a positive number if the tension increases, and negative if it decreases Coupling Coupling Coupling bar A Car 3 Car 2 (a) Number (b) Number (c) Number (d) Number (e) Number (f) Number Units Units Units Units Units Units

Explanation / Answer

a) If 36.6 kg of luggage were removed from car 2 and placed in car 1:

A is pulling cars 1, 2, & 3 so:
The tension in A would not change, since the tension in A is pulling all three cars and the total mass of all three has not changed,

B is pulling cars 2 & 3 so:
The tension in B would DECREASE because the tension in B is pulling cars 2 & 3, and there are now 336.6kg less mass in car 2. The amount the tension would decrease by is:
F=ma
F= 36.6kg * 0.165m/s² = 6.039N
So the tension in B decreased by 6.039N

C is pulling only car 3, so:
The tension in C would not change since no mass was added or subtracted from car 3.


b) If 36.6 kg of luggage were removed from car 2 and placed in car 3:

A is pulling cars 1, 2, & 3 so:
The tension in A would not change, since the tension in A is pulling all three cars and the total mass of all three has not changed,

B is pulling cars 2 & 3 so:
The tension in B would not change, since the tension in B is pulling cars 2 & 3 and the total mass of 2 & 3 has not changed,

C is pulling only car 3, so:
The tension in C would INCREASE since 36.6kg mass was added to car 3. The tension would increse by:
F=ma
F= 36.6kg * 0.165m/s² = 6.039N
So the tension in C increased by 6.039N

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