Chapter 32 The Gap in Plastic Bags
Shuichuan Mi brought two dried tofu, and Liuzi Feng directly picked up one and ate it. Mizukawa glanced at him, and he didn't eat the second one. Mizukawa pointed to the gap in the dried tofu and said: What do you think about its gap?
Duenas said: The notch must be to make it easier for people to tear off the bags. So, why is it easy to tear off a bag with a notch? Even if the iron sheet has a notch, you may not be able to tear it open. So, the notch is just for plastic bags. But then again, does the notch really have no effect on the iron sheet at all? I don't think so. If two people hold a plier and press it in opposite directions, the iron sheet will split along the gap. In this way, the gap has an impact on the iron sheet. I can conclude that notches have different effects on any object.
Mathematically, notches are geometry. The geometry of the object changes because it has a notch. This means that the negative geometry can imperceptibly affect the mechanical properties of the object.
From a physical point of view, the notch represents a type of deformation. This deformation is not reducible and belongs to plastic deformation.
There's a question that I've been thinking about: aren't the bags made? It's been cut before, but why aren't its edges so easy to tear? I guess this is because straight lines are more mechanically stable than curves. Why? Because the transmission of the force is the same in all directions. Since there is the same effect of force transmission in the straight line, there is nowhere to exert the force. Eventually, the applied force is collectively squeezed out of the line by the reaction force provided by the points in the line. When the force reaches the outside of the straight line, it disperses and then disappears.
Margarita nodded in satisfaction when she heard Dueñas's words, and said, "He's right, it's about geometry." Linguistics, on the other hand, has a more understandable concept: shape. We've already mentioned the shape more than once, and each time it's very in-depth. Actually, when he talks about geometry, I'm thinking about shapes. At first, I didn't have confidence in shape. After all, it's just an ordinary external feature of an object. Today, however, I suddenly felt that shape affects everything.
The essence of notching is to make the shape of an object complex at a very small scale, and the more complex the shape, the worse its mechanical stability. Just open a few more notches. It will be easier to tear apart the object.
Liuzifeng retorted: Not exactly. The notch is easy to tear apart because the force is applied at a point on the curve of the notch, which is exactly in the center of the curve. When a person applies a force to the notch of the bag, the midpoint of the curve begins to disperse the force to the surroundings. The force transferred to the left was supposed to be transferred, but the route connecting the midpoint to the left was empty. Naturally, this part of the force does not want to pass through the air, so it begins to shift to the side. The same is true for the area closer to the left, where the force is returned in the direction of the midpoint. The force on the left is again in a state of nowhere to go. As a result, all the forces on the left are returned to the midpoint of the curve. The situation on the right is naturally the same as on the left. Eventually, the midpoint of the curve of the notch is called the point of application of the external force. As a result of this, the gap was eventually torn open.
Mizukawa couldn't help laughing: This discussion is very good, and everyone's views are highlighted. The day before yesterday, I saw that one of the seeds I soaked had sprouted. I used a straw to provide oxygen to the water, but I didn't expect it to work. Of course, this is just a digression. I would like to say that since the seeds have sprouted, it is time to start a new topic. Remember, the cloudy day is still here.