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  GR8677 #7
Problem
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Verbatim question for GR8677 #7
Mechanics}Statics

Straight-forward Newtonian statics:



Divide the two equations above, cancel T's, and get: \par
\tan(\theta)=\frac{F}{mg}=\frac{10}{2*10}=.5. Choice A is right.

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Comments
signminus
2010-08-01 12:15:58
Not quite. The question asks for the angle, \theta. As in the posted solution, we have
\text{tan}(\theta)=0.5.
To invert this equation, we do
\text{tan}^{-1}(\text{tan}(\theta))=\text{tan}^{-1}(0.5)
\Longrightarrow \theta=\text{tan}^{-1}(0.5),
answer A.
signminus
2010-08-01 12:16:42
Oops, meant that as a reply to rlorek's comment below.
NEC
rlorek
2010-07-30 12:32:55
This was worked out well, but the answers are looking for "arc" functions which are the inverse of normal trig functions.

The inverse of tan(theta)=0.5 is...

arctan(theta)=2.0

Therefor "C" should be the correct answer.
NEC
belle
2009-10-11 13:50:56
This also solvable with simple geometric tactics

tan(theta)=\frac{10}{2g}

using g=10

tan(theta)=.5

NEC
kostas
2007-01-09 12:42:27
I see the answers but I cannot find the questions. Where are they? There was a "jump into the question" buton in the old site that I can't see now
yosun
2007-02-22 19:09:03
I am in the process of typing up the questions. Currently, only GR8677 is available as graphics file displayed next to the official solution. GR9277 questions will be available shortly, and the rest, eventually.
NEC

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