MHB Trig Assistance for CNC Machining/Engineering

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Trig help please! CNC Machining/Engineering

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I redraw the picture. you mean by DIA ( diameter ) right ?. you can notice that the two triangles the one with the big circle and the one with small circle are similar.

$dR = \frac{39}{\sin y}, cr = \frac{23.5}{\sin y}, ch = \frac{86}{\tan y}$ now

$dR + cr + ch = 126 $ hence

$126 = \frac{39}{\sin y} + \frac{23.5}{\sin y} + \frac{86}{\tan y} $

$126 \sin y = 62.5 + 86 \cos y $
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Yes DIA means the diameter...
 
Amer said:
I redraw the picture. you mean by DIA ( diameter ) right ?. you can notice that the two triangles the one with the big circle and the one with small circle are similar

Sorry your picture is not working now.
 
I edited my post
 
Amer said:
I redraw the picture. you mean by DIA ( diameter ) right ?. you can notice that the two triangles the one with the big circle and the one with small circle are similar.

$dR = \frac{39}{\sin y}, cr = \frac{23.5}{\sin y}, ch = \frac{86}{\tan y}$ now

$dR + cr + ch = 126 $ hence

$126 = \frac{39}{\sin y} + \frac{23.5}{\sin y} + \frac{86}{\tan y} $

$126 \sin y = 62.5 + 86 \cos y $

Just not too sure with the distance from S - H?
 
megani said:
Just not too sure with the distance from S - H?
you mean ch ? it is typo I meant $dh$. ch is perpendicular to SR so we have a right triangle $\tan y = \frac{86}{hd} $
$hd + dR + cr = 126$
 
Yes sorry HD...Initially I though 126-39-23.5 but there's a little gap between the circle, do you see?

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Actually...gap next to big circle too! :-\
 

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yea I see it but it dose not affect the solution. "c" is the intersection between the tangent and the horizontal line "rs". and "ra " is perpendicular to the tangent it is a theorem the angle $acr = y$ I used sine definition to come up with $\sin y = \frac{23.5}{rc} \rightarrow rc = \frac{23.5}{\sin y}$
 
  • #10
Hi megani,

Welcome to MHB! This appears to be part of a graded assignment. If so, are you allowed to receive outside help? I ask only to confirm that we aren't taking part in unallowed assistance.
 
  • #11
Jameson said:
Hi megani,

Welcome to MHB! This appears to be part of a graded assignment. If so, are you allowed to receive outside help? I ask only to confirm that we aren't taking part in unallowed assistance.

Hi. No. I'm actually a learning support teacher (main focus numeracy) and my colleague and I are developing a revision workbook for some Dip. Engineering students and this was one of their resources.
 

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