Placido pulls a rope attached to a wagon through a pulley at a rate of q m/s. With

Chapter 3, Problem 28

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QUESTION:

Placido pulls a rope attached to a wagon through a pulley at a rate of q m/s. With dimensions as in Figure 12: (a) Find a formula for the speed of the wagon in terms of q and the variable x in the figure.(b) Find the speed of the wagon when  if .

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QUESTION:

Placido pulls a rope attached to a wagon through a pulley at a rate of q m/s. With dimensions as in Figure 12: (a) Find a formula for the speed of the wagon in terms of q and the variable x in the figure.(b) Find the speed of the wagon when  if .

ANSWER:

Step 1 of 4

a)

Let  be the distance from the pulley to the loop on the wagon.

               

 

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