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 0.15 m /s2, and friction is negligible. The coupling bars have negligible mass.

(a) By how much would the tension in each of the coupling bars A, B, and C change if 40 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 and an increase in tension with a positive value. If there is no change, enter 0.)
TA=  N
TB=  N
TC=  N

(b) By how much would the tension in each of the coupling bars A, B, and C change if 40 kg of luggage were removed from car 1 and placed in car 3? 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.)
TA=  N
TB=  N
TC=  N

Explanation / Answer

(a)

moving luggage from car 2 to car 1 does not change the total mass m1 + m2 + m2

so del ( m1 + m2 + m3) = 0

del TA = 0

del TB = del ( m1 + m2) ( a) = -40(0.15) =- 6 N

The transfer from car 2 to car 1 does not change the mass m3 so del m3 = 0 and del TC = 0 N

(b)

Moving luggage from car 2 to car 3 does not change the total mass m1 + m2 + m3, soD(m1 + m2 + m3) = 0 kg and

del TA = 0

The transfer from car 2 to car 3 does not change the total mass m2 + m3, so del(m2 + m3) = 0

del TB = 0

The transfer from car 2 to car 3 causes the mass m3 to increase by 39 kg, so

del m3 = 40 kg

del TC = del m3 a = 40 kg ( 0.15) = 6N

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.