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Question Number 46546 by ajfour last updated on 28/Oct/18

Commented by ajfour last updated on 28/Oct/18

$A c i r c u l a r r i n g o f r a d i u s R, r e s t s$ $a g a i n s t t w o a d j a c e n t w a l l s a n d$ $g r o u n d . I f G (r \cos α, r \sin α, 0),$ $f i n d c o o r d i n a t e s o f P a n d Q$ $(p o i n t s o f c o n t a c t o f r i n g w i t h$ $t h e w a l l s) .$
Commented by ajfour last updated on 28/Oct/18

Commented by MrW3 last updated on 28/Oct/18

Commented by MrW3 last updated on 28/Oct/18

$I t h i n k t h e r e i s n o u n i q u e s o l u t i o n .$ $E a c h t r i a n g l e Δ A B C w h o s e i n s c r i b e d$ ${c i r c l e}^{'} s r a d i u s i s R a n d w h i c h f u l f i l l s$ $f o l l o w i n g c o n d i t i o n r e p r e s e n t s a$ $s o l u t i o n .$ $A G \times \sqrt{1 - {(\frac{r \cos α}{B G})}^{2}} = r \sin θ$
Commented by ajfour last updated on 29/Oct/18

$B u t i i n t u i t i v e l y f e e l i t l o c k e d$ $i f G a n d r a d i u s R g i v e n a n d$ $t h a t i t (r i n g) r e s t s a g a i n s t b o t h$ $w a l l s, S i r .$
Commented by MrW3 last updated on 29/Oct/18

$I t h i n k i f t h e w a l l s a r e n o t f r i c t i o n l e s s,$ $t h e r i n g c a n s t a y a t p o i n t G a n d h a s$ $d i f f e r e n t e q u i l i b i u m p o s i t i o n s .$
Commented by MrW3 last updated on 29/Oct/18

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