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Question Number 23059 by Physics lover last updated on 25/Oct/17

Commented by Physics lover last updated on 25/Oct/17

$I n t h e a r r a n g e m e n t s h o w n h e r e$ $f r i c t i o n b e t w e e n t h e s p o o l$ $(o f m a s s m, m o m e n t o f i n e r t i a I)$ $a n d t h e p l a n k (o f m a s s M)$ $i s s u f f i c i e n t t o p r e v e n t s l i p p i n g .$ $T h e r e i s n o f r i c t i o n b e t w e e n t h e$ $p l a n k a n d t h e s u r f a c e i n c l i n e d a t$ $a n g l e θ .$
Commented by Physics lover last updated on 25/Oct/17

$F i n d a n g u l a r a c c e l e r a t i o n o f t h e$ $s p o o l .$ $a n s w e r :$ $[\frac{(m - M) g \cdot S i n θ}{(m + M) R^{2} + I}] \cdot R$
Commented by Physics lover last updated on 25/Oct/17

$A l s o f i n d a c c l e l e r a t i o n o f p l a n k$ $i f \frac{m}{M} < 1$ $a n s w e r :$ $d e s c e n d w i t h a c c e l e r a t i o n$ $\frac{(M - m) \cdot {g R}^{2} \cdot S i n θ}{(m + M) R^{2} + I}$
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