������ �������� ��� ����� �������� ��������� Overview Crusader Education’s Wedge is crafted from durable hardwood to provide a long-lasting piece of laboratory equipment that lets students explore the basic concept of this simple machine. The hinged boards and the narrow wedge allow students to clearly experience the force amplification that this simple machine makes possible. The addition of elastic bands allows for quantitative measurements. The Wedge: A Simple Machine Most simple machines have one basic goal: to allow you to perform a task using less force than you would otherwise need. The wedge is one of the oldest of the simple machines. It is really a stone age tool that has been used for thousands of years for stripping bark from trees and splitting logs. And the wedge is a simple machine that you see very, very frequently, though you might not think of it! Our office space has wedges by every door, that we use to hold the doors open! The force that we apply to the end of the wedge turns into a very large force between the wedge and the floor that keeps it from sliding. Of course, wedges are also used the way they always have been: to split wood. Of all of the simple machines, the wedge is the one that is the least changed over the years and the easiest to recognize! 1 Physics Principles Suppose you raise a maul (a heavy wedge on a handle) over your head, and bring it down on a piece of wood that you want to split. Two things happen: 1) The wedge turns the vertical motion of the wedge into a horizontal force. The wedge, like other simple machines, changes the direction of a force. 2) The wedge works a bit like a ramp, or an inclined plane. The wedge needs to move a long way in order to split the wood just a small amount. This means that the force is amplified—a small force on the wedge turns into a large force on the wood. You can’t split a log with your bare hands, but the wedge amplifies the force so that the force of your body is all that is needed! Experiments Part I: The Basic Principle Force Amplification Step 1: Put several rubber bands on the outer of the two sets of pegs. Now, lift up the top board, and feel the resistance. Now, force the boards apart by sliding the wedge between them. This is easier—and if you oil the wood so that the wedge slides more easily, it’s even easier! (You can use lemon oil for this—the kind meant for finishing furniture!) Ask your students to note the motion. The wedge moves a long way to raise the top board by a small amount; that’s why it gives as much force as it does. A small force over a long distance is turned into a large force over a small distance, just as for other simple machines. A skinnier wedge would move even farther, and so would provide even more force amplification. So: The force is amplified, and it is directed in another direction, both of the key elements of a simple machine. 2 Step 2: Next, do the same experiment as above, but place the rubber bands on the inner pegs. Will it be easier or harder to force the boards apart? As you can see, the rubber bands don’t stretch as much, so it will be easier to force the boards apart than in step 1. 1. Increase the number of rubber bands. How does this change the force necessary to move Here are some other variations you could make the wedge? on this basic experiment: 2. Rather than use the rubber bands to make a force, place a weight on the top board. Now you can lift the weight with the wedge! Part II: A Bit More Detail Other Uses of the Wedge Step 1: Rather than pushing the wedge, tap it with your hand. Now you are changing the impulsive force of your blow into a much larger force moving the boards apart. An even gentle tap will make a remarkably large force! It’s easy to force the boards apart even with all of the rubber bands in place. Step 2: Use several rubber bands on the outer set of pegs, and drive the wedge in between the two boards. Now, let it go. It will stay in place! This is how a door wedge works. The friction between the wedge and the boards is enough to keep it from sliding, so you can use a wedge to prop a door open. A shallower angle makes a more effective prop. Can you see why? 1. How could you increase the force of the wedge? (You can make a skinnier, longer wedge. This will amplify the force even Here are some questions to ask your students more.) about this exercise: 2. Can you think of practical examples of wedges? (There are many—one example is on the next page.) 3 Extensions Where do you see wedges? We’ve seen a few examples; here’s one more to get you thinking! Wedges in the Kitchen: The Knife A Wedge Makes an Opening You often see wedges used to make an opening. A knife is a wedge: it is thicker at the top than at the blade. As it moves through a banana, it forces it apart. Scissors are just two wedges that work together. What other examples can you think of in which you use something that is skinny on one side and thicker on the other that you use to make an opening by forcing in the skinny side? And you use this principle in less obvious ways as well. Think about how you hold your arms when you dive into a swimming pool... This guide written and illustrated by Brian Jones, Little Shop of Physics, Colorado State University 4
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