Shifts in Equilibrium - By MITK12Videos
Transcript
00:12 | equilibrium is a balanced state that stays balanced unless something | |
00:16 | knocks it out of balance . Mhm . Sometimes it's | |
00:22 | pretty clear that you're watching a movie in reverse , | |
00:29 | but we can tell now that time is back to | |
00:31 | normal driving systems into equilibrium equilibrium comes from latin words | |
00:36 | for equal and balance at equilibrium , opposing forces are | |
00:40 | equal , balance each other out and guarantee that these | |
00:43 | balls will stay where they are almost anywhere . I | |
00:46 | throw the balls , they settle into this one lowest | |
00:48 | valley and they won't escape the valley , gravity is | |
00:51 | pulling them down to the point with the lowest potential | |
00:54 | energy . At high points , they will have high | |
00:56 | potential energy from gravity and will use this energy to | |
00:59 | move towards the lower energy valleys . It's the lowest | |
01:02 | valley , but it's not the only place . The | |
01:04 | balls might settle . Some balls never make it to | |
01:07 | the lowest point . Instead they settle in a different | |
01:11 | valley in this corner . What's so special about these | |
01:14 | places , Each of these valleys is a stable equilibrium | |
01:19 | . Now , all attempts to change with the balls | |
01:21 | land , I'll shift the landscape which will change the | |
01:24 | delivery . Um There's a new lowest point and the | |
01:27 | old lowest point is one of the highest points . | |
01:29 | Now in this new configuration , they settle in a | |
01:32 | different equilibrium . I've successfully shifted where the equilibrium lies | |
01:37 | . This type of equilibrium , where nothing moves is | |
01:40 | a static equilibrium . All the parts of the system | |
01:43 | are motionless , static and the forces are balanced in | |
01:46 | equilibrium . But sometimes even when opposing forces balance each | |
01:51 | other , small parts of the system still move in | |
01:54 | dynamic equilibrium . The state of the system is the | |
01:57 | average of its parts . The average state can stay | |
02:00 | the same . Even if small parts change . For | |
02:04 | example , an individual coin can either be up and | |
02:07 | spinning or down . The state of the system is | |
02:12 | how many coins are up . I can spin coins | |
02:16 | so that three coins are spinning at once as soon | |
02:18 | as I spin up another one friction knocks down one | |
02:21 | of the ones that was already spinning . So even | |
02:24 | though individual coins are changing from spinning to not spinning | |
02:28 | or from not spinning to spinning the overall state of | |
02:32 | the system , How many coins are up ? three | |
02:36 | stays the same , that's why we call it equilibrium | |
02:40 | . How do I shift this kind of equilibrium ? | |
02:42 | I can either change the rate that the table slows | |
02:45 | them down or change the rate that I spend them | |
02:47 | up . I enlisted my sister's help because together we | |
02:50 | can spin coins up at a faster rate than me | |
02:52 | alone turns out that together we can spend fast enough | |
02:56 | for a dynamic equilibrium of about five coins up at | |
02:59 | a time we've successfully shifted the equilibrium of the system | |
03:03 | . So how is this actually working ? My sister | |
03:06 | Claire and I can spin coins up faster than I | |
03:09 | could alone . To balance this friction needs to knock | |
03:14 | coins down faster too . This happens when friction has | |
03:18 | more spinning coins on the table to knock down . | |
03:21 | So the new equilibrium happens when there are five coins | |
03:25 | up and the rest are down At five coins up | |
03:29 | , Clara and I can spin up a coin at | |
03:32 | the same rate that it takes friction To knock one | |
03:35 | down . So we're left at a stable dynamic equilibrium | |
03:39 | of five coins up as time runs forward were driven | |
03:44 | towards equilibrium where opposing forces are balanced and opposing rates | |
03:49 | are equal , but we can shift where the equilibrium | |
03:51 | lie either by adjusting the rates at which individual objects | |
03:55 | which state , or by changing the landscape . |
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