1 00:00:04,350 --> 00:00:06,480 We considered a case where an object is moving 2 00:00:06,480 --> 00:00:09,810 along the surface, but now let's consider what happens, 3 00:00:09,810 --> 00:00:16,730 that if we apply a force here, and the object stays at rest. 4 00:00:16,730 --> 00:00:20,580 Well, we still have the normal force 5 00:00:20,580 --> 00:00:22,300 distributed over the surface. 6 00:00:22,300 --> 00:00:24,990 But now because the object is at rest, 7 00:00:24,990 --> 00:00:28,210 there is another kind the contact force now 8 00:00:28,210 --> 00:00:32,890 is what we call static friction, the tangential part of that. 9 00:00:32,890 --> 00:00:35,470 And the contact force is still the perpendicular part, 10 00:00:35,470 --> 00:00:38,520 the normal force, plus the tangential part, 11 00:00:38,520 --> 00:00:43,250 which we refer to as static friction. 12 00:00:43,250 --> 00:00:46,040 Now what happens with static friction 13 00:00:46,040 --> 00:00:50,280 is that if we don't apply a force at all, then 14 00:00:50,280 --> 00:00:51,550 there is no static friction. 15 00:00:51,550 --> 00:00:54,200 In fact, you can see in this simulation, 16 00:00:54,200 --> 00:00:58,100 that if we slowly increase the applied force, 17 00:00:58,100 --> 00:01:00,950 then the static friction force gets bigger and bigger. 18 00:01:00,950 --> 00:01:05,069 It depends on what we're doing to the system. 19 00:01:05,069 --> 00:01:09,850 But at a certain point, when we apply a large enough external 20 00:01:09,850 --> 00:01:13,920 force, the object suddenly starts to slip. 21 00:01:13,920 --> 00:01:16,030 That's what we call the just-slipping condition. 22 00:01:16,030 --> 00:01:18,240 And the reason for that is static friction 23 00:01:18,240 --> 00:01:21,110 has reached its maximum possible value. 24 00:01:21,110 --> 00:01:23,990 That has to do with the physics of the interaction 25 00:01:23,990 --> 00:01:27,330 between the surface and the object. 26 00:01:27,330 --> 00:01:31,320 So also, there's a very subtle thing, 27 00:01:31,320 --> 00:01:35,500 is that as you see when we pull the force and it just slips, 28 00:01:35,500 --> 00:01:38,130 suddenly the friction has gone from static 29 00:01:38,130 --> 00:01:41,690 to kinetic friction, and it's gotten a little bit smaller. 30 00:01:41,690 --> 00:01:43,580 How do we express those properties? 31 00:01:43,580 --> 00:01:49,130 Well, what we have is the idea that the static friction can 32 00:01:49,130 --> 00:01:56,380 vary in magnitude between 0 and some type of maximum value, 33 00:01:56,380 --> 00:02:00,340 depending on the other constraints on the system. 34 00:02:00,340 --> 00:02:04,090 And the maximum value of static friction, 35 00:02:04,090 --> 00:02:08,009 we have a force law, which is that it's, again, 36 00:02:08,009 --> 00:02:10,720 proportional to the normal force, 37 00:02:10,720 --> 00:02:14,340 but the coefficient is called now the coefficient 38 00:02:14,340 --> 00:02:16,130 of static friction. 39 00:02:16,130 --> 00:02:17,990 And this coefficient of static friction 40 00:02:17,990 --> 00:02:20,690 is slightly bigger than the coefficient 41 00:02:20,690 --> 00:02:22,620 of kinetic friction, which explains 42 00:02:22,620 --> 00:02:26,070 why that arrow got a little bit smaller when it just 43 00:02:26,070 --> 00:02:28,270 started to slip. 44 00:02:28,270 --> 00:02:31,310 Now again, like kinetic friction, 45 00:02:31,310 --> 00:02:35,910 static friction is opposing this external force. 46 00:02:35,910 --> 00:02:39,470 And depending on the direction that the object moves, 47 00:02:39,470 --> 00:02:44,870 for instance, if we applied the external force 48 00:02:44,870 --> 00:02:51,290 in the opposite direction, here, then the static friction 49 00:02:51,290 --> 00:02:56,240 that's distributed over the surface is opposing that force. 50 00:02:56,240 --> 00:02:59,590 But there may be many systems in which we're actually not 51 00:02:59,590 --> 00:03:03,430 quite sure which way the static friction points. 52 00:03:03,430 --> 00:03:04,940 And as the course develops and we 53 00:03:04,940 --> 00:03:06,770 look at more complicated examples, 54 00:03:06,770 --> 00:03:10,010 we'll see that the direction of static friction 55 00:03:10,010 --> 00:03:14,742 can depend on all the other constraints on the system.