A block of mass 1 kg is pushed against a rough vertical wall with a force of 20 N, coefficient of static friction being (1/4). Another horizontal force of 10 N is applied on the block in a direction parallel to the wall. Will the block move? If yes, with what acceleration? If no, find the frictional force exerted by wall on the block. (g = 10 m/s^2 )


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Question Number 21759 by Tinkutara last updated on 03/Oct/17

$A block of mass 1 kg is pushed against$ $a rough vertical wall with a force of 20$ $N, coefficient of static friction being \frac{1}{4} .$ $Another horizontal force of 10 N is$ $applied on the block in a direction$ $parallel to the wall . Will the block move ?$ $If yes, with what acceleration ? If no,$ $find the frictional force exerted by wall$ $on the block . (g = 10 m / s^{2})$
	Answered by ajfour last updated on 03/Oct/17

	Commented by ajfour last updated on 03/Oct/17

	${b l o c k}^{'} s a c c e l e r a t i o n b e a .$ $N o r m a l f r o m w a l l = 20 N$ $(n o t i n f i g u r e)$ $s i n c e n e t a p p l i e d f o r c e a l o n g$ $t h e w a l l / s u r f a c e i s g r e a t e r t h a n$ $m a x i m u m v a l u e o f s t a t i c f r i c t i o n$ $k i n e t i c f r i c t i o n = μ_{k} N c o m e s i n t o$ $p l a y .$ $i f μ_{k} = μ_{s} = \frac{1}{4}, t h e n$ $f = μ_{k} N = \frac{1}{4} \times 20 = 5$ $S o$ $10 \sqrt{2} - 5 = 1 \times a$ $a = 14.14 - 5 = 9.14 m / s^{2} .$
	Commented by Tinkutara last updated on 04/Oct/17

	$Thank you very much Sir!$
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