A double-trailer truck is at rest at the start of an on-ramp to a freeway. The r
ID: 2993996 • Letter: A
Question
A double-trailer truck is at rest at the start of an on-ramp to a freeway. The ramp has a 15 degree incline. Assuming the tuck needs to reach 100 km/hr in 800 meters, frind:
A) The acceleration force (between the tires and the of the cab, A)
B) The force on the hitch A-B between the cab A and the trailer B
C) The force on the hitch B-C between the cab B and the trailer C
The cab A has a mass of 5000kg, trailer B has a mass of 20,000kg, and trailer C has a mass of 10,000kg. You can assume constant acceleration, only the cab accelerates the system, and there is no slipping between the cab tires and the road.
A double-trailer truck is at rest at the start of an on-ramp to a freeway. The ramp has a 15 degree incline. Assuming the tuck needs to reach 100 km/hr in 800 meters, frind: The acceleration force (between the tires and the of the cab, A) The force on the hitch A-B between the cab A and the trailer B The force on the hitch B-C between the cab B and the trailer C The cab A has a mass of 5000kg, trailer B has a mass of 20,000kg, and trailer C has a mass of 10,000kg. You can assume constant acceleration, only the cab accelerates the system, and there is no slipping between the cab tires and the road.Explanation / Answer
A) 100kmph = 100*5/18 m/s = 27.77m/s
a = v^2/2s = 27.77^2/(2*800) = 0.482 m/s^2
F = Ma + Mgsin(15) = 35000*0.482 + 35000*9.8*sin(15) = 105644.93 N
B) 30000*0.482 + 30000*9.8*sin(15) = 90552.8 N
C) 10000*0.482 + 10000*9.8*sin(15) = 30184.26 N
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