## 10x-13 Double Inclined Plane

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This question is about the double inclined plane.
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What we have here is a pretty intimidating setup.
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We have what we could view as 2 inclined planes--
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one inclined at an angle α and one inclined at an angle β.
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We have two masses--m1 and m2--and of course we're pretending there's no friction,
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because we just don't want to deal with that right now.
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I want to know if I set this system up and then release it, how is it going to accelerate.
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Just to be consistent, let's call clockwise direction,
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so if this one's moving up then this one's moving down the plane.
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We'll call that positive acceleration-- +a.
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For this question I'm going to tell you that the acceleration looks something like this.
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Now, what's going on here?
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Well, the acceleration is g--the acceleration due to gravity--
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times this modifier of some sort.
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What I want you to do is in each of the red boxes
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put either a 1 or a 2 if the relevant mass is mass 1 you put a 1, 2 you put a 2.
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In the blue boxes, I want you to put either a plus, a minus, multiplication sign,
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or division sign, depending on what you think makes sense.
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Now, you could just solve this equation.
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You could do F = ma for both of the blocks and get an answer.
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Or you could try using your intuition.
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See what makes sense. Think of limiting cases.
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What happens when m1 gets really big or m2 gets really big.
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What happens if β is really small or α is really small?
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Thinking this way should be able, in theory, to tell you exactly
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what symbols go in the blue and red boxes. Good luck.
Cím:
10x-13 Double Inclined Plane
Video Language:
English
Team:
Udacity
Projekt:
PH100 - Intro to Physics
Duration:
01:30