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900 lb550 lb325 lbNcNB

Question

The baggage truck A shown in the photo below has a weight of 900 lb and tows a 550-lb cart B and 325
lb cart C. For a short time the driving frictional force developed at the wheels of the truck is 40t lb,
where t is in seconds. If the truck starts from rest, determine its speed in 2 seconds. Also, what is the
horizontal force acting on the coupling between the truck and the cart B at this instant?

900 lb
550 lb
325 lb
Nc
NB
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900 lb 550 lb 325 lb Nc NB

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check_circleAnswer
Step 1

Given:

Weight of truck A WA = 900 lb

Weight of cart B WB = 550 lb

Weight of cart C WC = 325 lb

Frictional force FA = (40t) lb

Time t =2 s

Step 2

From the free body diagram, the frictional force provides acceleration to both the truck and the cart. Thus, all the three vehicles are considered as a single system.

325 lb
550 lb
900 lb
C
A
FA
Nc
NA
Ne
LL
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325 lb 550 lb 900 lb C A FA Nc NA Ne LL

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Step 3

Now, from the equation of motion only the horizontal...

EF=ma
900550 325
40f
32.2
40f 55.124a
a 0.7256
(1)
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EF=ma 900550 325 40f 32.2 40f 55.124a a 0.7256 (1)

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