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Question Number 203985 by ajfour last updated on 03/Feb/24

Commented by mr W last updated on 03/Feb/24

$e q u i l i b r i u m i s n o t p o s s i b l e!$ $Σ M_{P} \neq 0$
Commented by mr W last updated on 03/Feb/24

Commented by ajfour last updated on 03/Feb/24

$I f w e a s s u m e f r i c t i o n, c a n w e$ $d e t e r m i n e b o t h t e n s i o n a n d$ $e x i s t i n g f r i c t i o n, c o e f f i c i e n t μ n o t$ $g i v e n b u t t h a t e q u i l i b r i u m p e r s i s t s ?$
Commented by mr W last updated on 04/Feb/24

$e v e n w i t h f r i c t i o n n o e q u i l i b r i u m$ $i s p o s s i b l e .$ $t h e r e s u l t a n t f o r c e (T_{R} i n d i a g r a m)$ $o f t h e t e n s i o n i n s t r i n g l i e s i n t h e$ $d i r e c t i o n o f a n g l e b i s e c t o r . t h i s f o r c e$ $a n d t h e w e i g h t (M g) o f t h e c y l i n d e r$ $a l w a y s b r i n g t h e c y l i n d e r t o r o t a t e$ $c l o c k w i s e . t h e f r i c t i o n c a n n o t$ $p r e v e n t t h i s a n d k e e p t h e c y l i n d e r$ $i n e q u i l i b r i u m .$ $i n t h e f i r s t c a s e o f f o l l o w i n g$ $d i a g r a m s a n e q u i l i b r i u m i s p o s s i b l e .$ $b u t w e h a v e t h e s e c o n d c a s e .$
Commented by mr W last updated on 04/Feb/24

Commented by mr W last updated on 04/Feb/24

Commented by ajfour last updated on 04/Feb/24

$Y e s t r u e, u n l e s s θ = \frac{π}{2} e q u i l i b r i u m$ $n o t p o s s i b l e . W e n e e d h a v e f r i c t i o n$ $a t a x l e o f u p p e r c y l i n d e r a n d s t r i n g .$
Commented by mr W last updated on 04/Feb/24

$y e s s i r!$
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