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PULLEY MACHINE
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Try This: Building a pulley machine starts out the same as for the lever machine, as shown in Fig. 3-15. Instead of a pivot for the lever, however, we put in an anchor to tie our string to. We don t use this anchor yet. The pulley itself snaps onto the other side of the tower, as shown in Fig. 3-16. You can experiment with this pulley, though its operation is fairly obvious. The fun begins when we begin to make pulleys behave like levers, to amplify our strength. To double our strength, we need to nd a way to pull twice as much rope while making the weight rise the same distance. This could look like Fig. 3-17. The new pulley is not xed into position, but travels with the
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CHAPTER 3 Simple Machines
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Fig. 3-15.
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LEGO pulleys.
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Fig. 3-16.
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Single pulley.
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CHAPTER 3 Simple Machines
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Fig. 3-17.
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Double pulley.
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weight. The weight helps to keep this pulley on its rope. The end of the rope is anchored somewhere near the xed pulley. When you pull down on the rope you have a two-to-one mechanical advantage. The mechanical advantage is the number of times the rope goes between pulleys, or the pulleys and the anchor point (not counting the rope you are pulling). In this case, we have two passes. Your pull on the rope must be divided between these two sections, doubling your force and halving the weight s travel distance per pull. You can build a weight for the LEGO pulley as shown in Fig. 3-18. The wheels on the little cart provide some heft. To get an even better feel for the action you can replace them with metal washers or some other heavy thing. Tie a length of string to the anchor bar (it may be easier to do this if you remove it rst). Run it straight down and under the lower pulley. Run the string back up and over the top pulley. When you pull the string down, the weight will rise up. You can add another pass to the system, giving you a mechanical advantage of three (Fig. 3-19). To test this, you need to add another pulley to your machine.
CHAPTER 3 Simple Machines
Fig. 3-18.
LEGO weight.
Note that our load cart has the two pulleys on the same shaft. Putting pulleys together like this makes a pulley block, and it s an easy way to stack pulleys to get greater mechanical advantage. If you added more loops, you would add pulleys to the top of the machine, too. With each loop you reverse the direction that you need to pull to raise the weight. It s normal to have an even number of loops and pulleys so you pull down to raise the weight up. This combination of pulley blocks and rope is known as a block and tackle, where the block is the set of pulleys and the tackle is the rope.
CHAPTER 3 Simple Machines
Fig. 3-19. Triple pulley.
Wheels and Torque
 kg m2 =s2 We already mentioned that a pulley is a form of wheel. Left to itself, a wheel s job is to roll. The wheel is a great invention that we use to reduce the friction of moving objects. It s much easier to roll a car on its wheels than to drag it on its frame. Not all wheels simply roll. Some wheels push. And, of course, the ground pushes against them. What do these forces look like (Fig. 3-20) Where the rubber meets the road, a powered wheel pushes against the ground. This force moves the wheel, and whatever it is attached to, forward. Or, in some cases, the wheel could be xed and the ground could be forced to move it s all relative. The distance from the center of the wheel to the edge is called its radius, represented by the symbol r.
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