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Question Number 153374 by ajfour last updated on 06/Sep/21

Commented by mr W last updated on 06/Sep/21

$h o w t o u n d e r s t a n d :$ $a t t = 0 : l e n g t h o f c y l i n d e r i s h, m a s s$ $i s m, m a s s i s u n i q u e l y d i s t r i b u t e d o v e r$ $l e n g t h : ρ_{0} = \frac{m}{h} .$ $a t t : l e n g t h o f c y l i n d e r i s h - 2 u t,$ $m a s s i s m, m a s s i s s t i l l u n i q u e l y$ $d i s t r i b u t e d o v e r l e n g t h, ρ = \frac{m}{h - 2 u t} .$ $i s t h i s c o r r e c t ?$
Commented by ajfour last updated on 06/Sep/21

$I n i t i a l l y (t = 0) b a l a n c e i s t h e r e .$ $N o w f a c e s A a n d B o f i n n e r$ $s o l i d c y l i n d e r (b y s o m e i n t e r n a l$ $m e c h a n i s m, s t a r t r u s h i n g$ $t o w a r d c e n t e r C a n d w i t h$ $r e s p e c t t o i t w i t h s p e e d s u,$ $t h e n, f i n d n o r m a l r e a c t i o n$ $a t B = N (y) . y_{0} = h .$
Commented by ajfour last updated on 06/Sep/21

$y e s s i r, y o u g e t i t e x c e l l e n t . .$
Commented by mr W last updated on 07/Sep/21

$t h e n C r e m a i n s a t t h e s a m e p o s i t i o n,$ $B m o v e s u p w a r d s w i t h s p e e d u .$ $s i n c e u i s c o n s t a n t, n o o b j e c t o b t a i n s$ $a n a c c e l e r a t i o n . t h e r e a c t i o n a t B i s$ $c o n s t a n t, i . e . N_{B} = m g .$
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