1 00:00:04,190 --> 00:00:07,700 Here we have a little block that sits on that surface. 2 00:00:07,700 --> 00:00:10,370 And well, what can one do with a block? 3 00:00:10,370 --> 00:00:14,430 You can push it, or you can pull it. 4 00:00:14,430 --> 00:00:16,730 And that's exactly what we're going to look at now. 5 00:00:16,730 --> 00:00:25,670 So I can exert a pushing force onto this block here, F push. 6 00:00:25,670 --> 00:00:31,310 But I could also pull it like this, F pull. 7 00:00:31,310 --> 00:00:35,480 And the question is, how can we formalize this a little bit 8 00:00:35,480 --> 00:00:36,060 more? 9 00:00:36,060 --> 00:00:42,070 We can now also look at a small piece of rope or a string. 10 00:00:42,070 --> 00:00:47,270 And I could, in the tug of war, I'm going to pull here. 11 00:00:47,270 --> 00:00:49,610 And I'm also going to pull here. 12 00:00:49,610 --> 00:00:52,690 And we'll see who is going to win. 13 00:00:52,690 --> 00:00:58,800 So we have two opposing forces here on either side. 14 00:00:58,800 --> 00:01:01,920 In a slightly different scenario, 15 00:01:01,920 --> 00:01:04,620 where we're going to put both of these things together, 16 00:01:04,620 --> 00:01:08,250 we have a block here sitting on a surface. 17 00:01:08,250 --> 00:01:10,860 And we have a little string attached to it. 18 00:01:10,860 --> 00:01:14,510 And let's say we have a pulley here, 19 00:01:14,510 --> 00:01:16,770 and the string goes around there and has 20 00:01:16,770 --> 00:01:19,480 a little mass hanging here. 21 00:01:19,480 --> 00:01:23,140 We want to now describe what this force is here 22 00:01:23,140 --> 00:01:24,670 that's pulling things. 23 00:01:24,670 --> 00:01:26,530 And for that, we have to look at what's 24 00:01:26,530 --> 00:01:29,700 going on in that little string. 25 00:01:29,700 --> 00:01:31,565 So let's draw another string. 26 00:01:34,530 --> 00:01:36,930 And this is our string. 27 00:01:36,930 --> 00:01:41,030 And let's take an imaginary cut right through the middle here. 28 00:01:41,030 --> 00:01:43,680 And I'm going to draw both pieces here. 29 00:01:43,680 --> 00:01:48,580 This is the left part, and here is the right part. 30 00:01:48,580 --> 00:01:53,990 And what's happening in this rope here now? 31 00:01:53,990 --> 00:02:00,150 Well, there is a force acting on the left object 32 00:02:00,150 --> 00:02:03,470 due to the interaction with the right one. 33 00:02:03,470 --> 00:02:07,700 And here we have a force on the right one, 34 00:02:07,700 --> 00:02:10,400 due to the interaction of the left piece. 35 00:02:10,400 --> 00:02:13,170 And that, of course, happens anywhere. 36 00:02:13,170 --> 00:02:16,590 I take a cut here along the line. 37 00:02:16,590 --> 00:02:19,650 And we can even formalize that a little bit more 38 00:02:19,650 --> 00:02:23,220 by just placing our coordinate system here. 39 00:02:23,220 --> 00:02:24,880 And let's say x equals 0 here. 40 00:02:24,880 --> 00:02:28,440 And so for all x along this line, 41 00:02:28,440 --> 00:02:30,650 we always have these pairs of forces. 42 00:02:30,650 --> 00:02:33,180 So they are an interaction pair. 43 00:02:33,180 --> 00:02:37,960 And if I look at the rope from afar, they will cancel out. 44 00:02:37,960 --> 00:02:41,100 But if I look at what's going on inside the rope, 45 00:02:41,100 --> 00:02:42,750 then this is what they are. 46 00:02:42,750 --> 00:02:46,134 And we know from Newton's third law 47 00:02:46,134 --> 00:02:55,370 that F RL equals minus F LR. 48 00:02:55,370 --> 00:03:00,540 So they're forces of the same magnitude, 49 00:03:00,540 --> 00:03:02,770 but the opposite direction. 50 00:03:02,770 --> 00:03:08,842 If they weren't the same, then my rope would get in trouble. 51 00:03:08,842 --> 00:03:11,560 But what we want to define now actually 52 00:03:11,560 --> 00:03:14,760 is tension, the tension force, that 53 00:03:14,760 --> 00:03:18,060 is along, that's happening along, 54 00:03:18,060 --> 00:03:21,480 this rope here in our tug of war if someone 55 00:03:21,480 --> 00:03:23,250 pulls from the outside. 56 00:03:23,250 --> 00:03:26,480 And for that, we first got to look 57 00:03:26,480 --> 00:03:32,870 at the magnitude of our interaction pair here, F RL. 58 00:03:32,870 --> 00:03:39,180 And that, of course, equals the magnitude of F LR. 59 00:03:39,180 --> 00:03:43,510 And we're actually going to define now this magnitude here 60 00:03:43,510 --> 00:03:45,930 as the tension force. 61 00:03:45,930 --> 00:03:50,120 And that is true for all x along this line 62 00:03:50,120 --> 00:03:56,260 here, that we have this, the magnitude, 63 00:03:56,260 --> 00:03:59,860 that this is the magnitude of this force here. 64 00:03:59,860 --> 00:04:03,440 And from now on, we're going to call-- 65 00:04:03,440 --> 00:04:06,500 when we talk about tension in the rope, 66 00:04:06,500 --> 00:04:11,210 then we talk about the magnitude of one of these internal forces 67 00:04:11,210 --> 00:04:12,578 here.