point A is at the bottom of a rough plane which is inclined at an angle Θ to the horizontal. A body of mass m is projected from A along and end up a line of greatest slope (along the plane). the cofficient of friction between the body and the plane is ϕ. it then comes to rest at point B at a distance X from A. obtain the expression for (a) the workdone against friction when the body moves from A to B and back to A (ii) initial speed of the body (iii) the speed of the body on its return to A


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Question Number 119661 by aurpeyz last updated on 26/Oct/20

$p o i n t A i s a t t h e b o t t o m o f a r o u g h$ $p l a n e w h i c h i s i n c l i n e d a t a n a n g l e$ $Θ t o t h e h o r i z o n t a l . A b o d y o f m a s s$ $m i s p r o j e c t e d f r o m A a l o n g a n d e n d$ $u p a l i n e o f g r e a t e s t s l o p e (a l o n g t h e$ $p l a n e) . t h e c o f f i c i e n t o f f r i c t i o n b e t w e e n$ $t h e b o d y a n d t h e p l a n e i s φ . i t t h e n$ $c o m e s t o r e s t a t p o i n t B a t a d i s t a n c e X$ $f r o m A . o b t a i n t h e e x p r e s s i o n f o r$ $(a) t h e w o r k d o n e a g a i n s t f r i c t i o n$ $w h e n t h e b o d y m o v e s f r o m A t o B$ $a n d b a c k t o A$ $(i i) i n i t i a l s p e e d o f t h e b o d y$ $(i i i) t h e s p e e d o f t h e b o d y o n i t s$ $r e t u r n t o A$
Commented by aurpeyz last updated on 26/Oct/20

$p l s h e l p$
Commented by aurpeyz last updated on 28/Oct/20

$p l s h e l p$
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