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?

Step 1

Given:

Weight of truck A W_{A} = 900 lb

Weight of cart B W_{B} = 550 lb

Weight of cart C W_{C} = 325 lb

Frictional force F_{A} = (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.

Step 3

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

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