# Homework Help: Tension pulley of a well problem

1. Oct 22, 2006

### metalmagik

Part a of the drawing shows a bucket of water suspended from the pulley of a well; the tension in the rope is 101.0 N. Part b shows the same bucket of water being pulled up from the well at a constant velocity. What is the tension in the rope in part b?

Is the tension the same? that's all i can think about for it, since it's moving at a constant velocity in (b), which means its not accelerating, it should have the same tension, I believe. Any hints please?

2. Oct 22, 2006

Draw a free body diagram for part (a) to determine the weight of the bucket. Then you can determine the tension of the rope in (b) by drawing a free body diagram of the bucket again. (Hint: constant velocity implies that you must use the equation of equilibrium, i.e. the sum of vertical forces acting on the bucket must equal zero.)

3. Oct 22, 2006

### metalmagik

So in (b), since there are two tension forces...doesn't this not matter? Isn't there still only one going up and the tension is the same, 101 N?

4. Oct 22, 2006

In (a), there are two same tension forces. In (b), there is one tension force.

5. Oct 22, 2006

### metalmagik

I see...so in (b), is the tension in the rope holding the bucket 50.5? If so, I still do not understand how to calculate the other tension, since it is not directly acting on the bucket. This just does not make sense to me. I figured out the bucket has a mass of 10.3 kg...and that's about as far as I got calculation wise.

6. Oct 22, 2006

Again, first look at (a). The bucket is at rest, so you can apply the equation of equilibrium, i.e. it is intuitive clear that the following must hold: mg=2*101 = 202. Now, since you know the weight of the bucket (the force of gravity acting on it), you can jump to part (b). Since there is constant velocity involved, you can apply the equations of equilibrium, too (the sum of vertical forces applied onto the bucket must equal zero), so, you have mg = T, where T is the tension you need to find.

7. Oct 22, 2006

### metalmagik

I don't know why I can't think straight tonight...I do have a little bit of a cold...sorry for all of this...

since mg = 2 * 101 and mg = T...T must equal 202 N, correct?

8. Oct 22, 2006