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Hello, I am looking for the solution to Vector Mechanics for Engineers: Dynamics

ID: 1818235 • Letter: H

Question

Hello,

I am looking for the solution to Vector Mechanics for Engineers: Dynamics 9th Edition Chapter 12 problem 14. Here is is:

A tractor trailer is traveling at 60 mi/h when the driver applies his brakes. Knowing that the braking fore of the tractor and the trailer are 3600 lb and 13,700, respectively, determine (a) the distance traveled by the tractor trailer before it comes to a stop, (b) the horizontal component of the force in the hitch between the tractor and the trailer while the are slowing down.

In the diagram, the tractor has a weight of 15,000lb and the trailer is 17,400 lb.

Any help ASAP would be greatly appreciated!!!!

Explanation / Answer

m1 = 15000 lb, m2 = 17400 lb, v = 60 mi/h = 88 ft/s

F1 = 3600 lb, F2 = 13700 lb, find distance d and force F

for the whole system, net force = -F1 - F2 = (m1 + m2)a

a = -(F1 + F2)/(m1 + m2) = -0.534 ft/s2

d = (0 - v2)/(2a) = 7.25*103 ft

for the tractor, net force = -F - F1 = m1a

F = -F1 - m1a = 4410 lb

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