Simple Machines B/Compound Machines C Question Marathon

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Simple Machines B/Compound Machines C Question Marathon

Postby Jim_R » August 28th, 2013, 8:15 pm

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Re: Simple Machines B/Compound Machines C Question Marathon

Postby AstroRockShock » October 14th, 2013, 7:45 pm

I suppose this will be the first question, let's start off easy:
(Make sure to hide your answer)
What are the 6 classical simple machines?

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Re: Simple Machines B/Compound Machines C Question Marathon

Postby fantasyfan » October 14th, 2013, 7:48 pm

Lever, inclined plane, wedge, screw, pulley, wheel and axle
Looking forward to anatomy, protein, fossils, and optics (NYS trial) this year!

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Re: Simple Machines B/Compound Machines C Question Marathon

Postby AstroRockShock » October 14th, 2013, 7:55 pm

fantasyfan wrote:Lever, inclined plane, wedge, screw, pulley, wheel and axle

That's all correct!
Your turn to ask a question!

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Re: Simple Machines B/Compound Machines C Question Marathon

Postby fantasyfan » October 14th, 2013, 8:03 pm

Yay
Obscure history reference, I Choose You!!!
Don't worry it isn't too hard

Which famous mathematician identified five of the six classical machines (no inclined plane:() In his book Mechanics
Looking forward to anatomy, protein, fossils, and optics (NYS trial) this year!

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Re: Simple Machines B/Compound Machines C Question Marathon

Postby AstroRockShock » October 15th, 2013, 4:50 pm

fantasyfan wrote:Yay
Obscure history reference, I Choose You!!!
Don't worry it isn't too hard

Which famous mathematician identified five of the six classical machines (no inclined plane:() In his book Mechanics


This is what I found...
Hero (or Heron) of Alexandria

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Re: Simple Machines B/Compound Machines C Question Marathon

Postby fantasyfan » October 15th, 2013, 7:35 pm

AstroRockShock wrote:
fantasyfan wrote:Yay
Obscure history reference, I Choose You!!!
Don't worry it isn't too hard

Which famous mathematician identified five of the six classical machines (no inclined plane:() In his book Mechanics


This is what I found...
Hero (or Heron) of Alexandria


Correct your turn
Looking forward to anatomy, protein, fossils, and optics (NYS trial) this year!

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Re: Simple Machines B/Compound Machines C Question Marathon

Postby AstroRockShock » October 16th, 2013, 5:13 pm

Give 2 examples of a first class (type 1) lever.

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Re: Simple Machines B/Compound Machines C Question Marathon

Postby TheAnav » October 16th, 2013, 6:25 pm

AstroRockShock wrote:Give 2 examples of a first class (type 1) lever.

Not too hard :)
Seesaws, and crowbars!

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Re: Simple Machines B/Compound Machines C Question Marathon

Postby AstroRockShock » October 17th, 2013, 4:38 pm

TheAnav wrote:
AstroRockShock wrote:Give 2 examples of a first class (type 1) lever.

Not too hard :)
Seesaws, and crowbars!


Correct!
Your turn!

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Re: Simple Machines B/Compound Machines C Question Marathon

Postby Mathdino » October 20th, 2013, 12:12 pm

Here's a IMA question
Suppose that the pulley in the below image is connected to something weighing 10 kg, and I need to pull on it with 9 N of force to hold it up. What's the efficiency? Image
"If, in other sciences, we are to arrive at certainty without doubt, and truth without error, it behooves us to place the foundations of knowledge in mathematics."
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Re: Simple Machines B/Compound Machines C Question Marathon

Postby lchs » October 20th, 2013, 6:47 pm

Mathdino wrote:
Here's a IMA question
Suppose that the pulley in the below image is connected to something weighing 10 kg, and I need to pull on it with 9 N of force to hold it up. What's the efficiency? Image


I'm not so sure about this but I'll give it a shot...

Answer
IMA = (Force out of the machine)/(Force into the machine).
So for this scenario, the Force into the machine would be 9N, I think. And the Force out of the machine would be 10kg * 9.8m/s/s = 98N.
Therefore, the IMA = 98N/9N = 10.89?
I feel like I need to use the visual somehow, but this is what I ended up doing... :?

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Re: Simple Machines B/Compound Machines C Question Marathon

Postby chinesesushi » October 20th, 2013, 8:22 pm

lchs wrote:
Mathdino wrote:
Here's a IMA question
Suppose that the pulley in the below image is connected to something weighing 10 kg, and I need to pull on it with 9 N of force to hold it up. What's the efficiency? Image


I'm not so sure about this but I'll give it a shot...

Answer
IMA = (Force out of the machine)/(Force into the machine).
So for this scenario, the Force into the machine would be 9N, I think. And the Force out of the machine would be 10kg * 9.8m/s/s = 98N.
Therefore, the IMA = 98N/9N = 10.89?
I feel like I need to use the visual somehow, but this is what I ended up doing... :?


But I believe Mathdino is asking for the efficiency in the problem, not the IMA?

idk though...
1.36
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Re: Simple Machines B/Compound Machines C Question Marathon

Postby Mathdino » October 21st, 2013, 12:54 am

chinesesushi wrote:
lchs wrote:I'm not so sure about this but I'll give it a shot...

Answer
IMA = (Force out of the machine)/(Force into the machine).
So for this scenario, the Force into the machine would be 9N, I think. And the Force out of the machine would be 10kg * 9.8m/s/s = 98N.
Therefore, the IMA = 98N/9N = 10.89?
I feel like I need to use the visual somehow, but this is what I ended up doing... :?


But I believe Mathdino is asking for the efficiency in the problem, not the IMA?

idk though...
1.36

Almost
The AMA is the (force out)/(force in), not IMA; lchs got the AMA correctly. Efficiency is AMA/IMA. chinesesushi almost got it, but I assume you got the IMA as 8 instead of 16. Notice that there are 4 class 2 pulleys and 2 class 1 pulleys, and 1*1*2*2*2*2=16. Efficiency is 10.89/16, or about 68.06%.
Edit: A simpler way to explain it is that the IMA of the pulley on the right is 4 (count the rope sections) and the IMA of the one on the right is 4 (count). 4*4=16.

Your turn, chinesesushi.
Edit: I derped and got a slightly wrong answer the first time. Fixed.
Last edited by Mathdino on December 26th, 2013, 11:38 pm, edited 1 time in total.
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Re: Simple Machines B/Compound Machines C Question Marathon

Postby chinesesushi » October 21st, 2013, 11:56 am

Mathdino wrote:
chinesesushi wrote:But I believe Mathdino is asking for the efficiency in the problem, not the IMA?

idk though...
1.36

Almost
The AMA is the (force out)/(force in), not IMA; lchs got the AMA correctly. Efficiency is AMA/IMA. chinesesushi almost got it, but I assume you got the IMA as 8 instead of 16. Notice that there are 4 class 2 pulleys and 2 class 1 pulleys, and 1*1*2*2*2*2=16. Efficiency is 10.36/16, or about 64.75%.
Edit: A simpler way to explain it is that the IMA of the pulley on the right is 4 (count the rope sections) and the IMA of the one on the right is 4 (count). 4*4=16.

Your turn, chinesesushi.


Yeah, I was trying to figure out why the efficiency was greater than 1.

machine
Image What is the IMA of the pulley system and how much force is required to lift it the appropriate amount. The pulley is in an ideal state.
Never argue with an idiot, they will drag you down to their level and then beat you with experience.
Before you criticize a man, walk a mile in his shoes. That way you'll be a mile away and he'll be shoeless.
You should only create problems, that only you know solutions to.


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