TBR physics ch. 5 error?

[411309]

TBR says it's D but I said C. The answer explanation says it bends toward the axis with greatest change and says the X axis is the greatest change. Correct me if im wrong, but isnt it bending towards the x axis in C?

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[empo]

TBR says it's D but I said C. The answer explanation says it bends toward the axis with greatest change and says the X axis is the greatest change. Correct me if im wrong, but isnt it bending towards the x axis in C?

D starts off with a slope similar to the y axis and ends up with a slope similar to the x axis.
C does the opposite.

 

[SaCkO]

TBR says it's D but I said C. The answer explanation says it bends toward the axis with greatest change and says the X axis is the greatest change. Correct me if im wrong, but isnt it bending towards the x axis in C?

according to the formula T^2 is proportional to L so as T increases a little bit L will increase alot. When looking at graphs that has direct proportionality the graph curves toward the item that increases alot. In this case it is L . So the answer is D and it is curving toward the X-axis which is L

 

[411309]

Nm, I get it I just had to look at it again. D corresponds to exponential change in length. I just have trouble applying their "curve to" method it confuses mean by what they mean by that exactly.

 

[MedPR]

Nm, I get it I just had to look at it again. D corresponds to exponential change in length. I just have trouble applying their "curve to" method it confuses mean by what they mean by that exactly.

Yea that method/shortcut is probably the only thing in TBR that I have not incorporated into my strategy. It doesn't make sense to me either.

I can pick out the best answer, but looking at this again I'm not completely sure why the graph flattens out as L increases?

 

[chiddler]

Yea that method/shortcut is probably the only thing in TBR that I have not incorporated into my strategy. It doesn't make sense to me either.

I can pick out the best answer, but looking at this again I'm not completely sure why the graph flattens out as L increases?

assuming we all know the equation

it's T α sqrt(L)

y = sqrt(x)

 

[MedPR]

assuming we all know the equation

it's T α sqrt(L)

y = sqrt(x)

Yea but that graph (the one you linked to) doesn't plateau nearly as quickly as the TBR graph. I know it's the best answer, but it's not entirely accurate is it?

 

[chiddler]

Yea but that graph (the one you linked to) doesn't plateau nearly as quickly as the TBR graph. I know it's the best answer, but it's not entirely accurate is it?

i don't know my math well enough to answer, but either way it's the best answer by far.

 

[milski]

It's as goog as it will get without any sort of unit on the x and y axises. D is the only graph that can be considered as estimation of sqrt(x). It's increasing and has a negative second derivative (the "speed" with which it increases gets smaller and smaller). C can be an estimation of x^2.


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[circulus vitios]

If you choose C then you're saying that for some finite pendulum length, the period will be infinity. Does this sound like a physical possibility?

 

[MedPR]

Like I said, I can pick out the best answer, but I wasn't necessarily sure that the shape of the graph in D is completely accurate.

 

[circulus vitios]

Like I said, I can pick out the best answer, but I wasn't necessarily sure that the shape of the graph in D is completely accurate.

Yeah, TBR loves to do that. "Accurately" can mean "most accurately" or it can mean "exactly."

 

[411309]

Like I said, I can pick out the best answer, but I wasn't necessarily sure that the shape of the graph in D is completely accurate.

I agree. We can't exactly go into debate about infinite but still. Sometimes these graph questions annoy me.

 

[milski]

Here's sqrt(x), you can decide for yourself if the resemblance is good enough or not.

And x^2, just for reference.

 

[chiddler]

Here's sqrt(x), you can decide for yourself if the resemblance is good enough or not.

And x^2, just for reference.

What software do you use?

 

[milski]

What software do you use?

Mathematica. You can write a single line and then right click the graphic and save it as an image file.

 

[chiddler]

Mathematica. You can write a single line and then right click the graphic and save it as an image file.

Handy. And expensive!

 

[milski]

Handy. And expensive!

It was that or doing homework by hand in my calculus classes last year. There is only so much mindnumbing boredom that I can tolerate.